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IGNOU MHD Assignment 2023-2024 (July – January)

IGNOU MHD Assignment 2024 - IGNOU MHD Assignment Question Paper has been uploaded by the university for its current session 2024. The students of the MHD program can now download the Assignment Questions from this page. Candidates have to compulsory download and submit these assignments with the solutions to the university to get permission for attending the Term End Exam of the IGNOU MHD Program.

We also inform all MHD students that the assignment questions for each of the courses of the IGNOU MHD program are available for download from here. You have to prepare each of MHD assignment separately so that IGNOU Evaluators can easily understand and identify the course code of each subject.

  • IGNOU MHD Syllabus
  • IGNOU MHD Study Material
Program Code
Name of the Program Master of Arts (Hindi)
Session 2024
Applicable For TEE December 2024
Category

List of IGNOU MHD Assignment 2024

  • Download IGNOU MHD Assignments 2024

Each of the Assignment questions will have different marks and the same will be printed on each question. Candidates should write the solutions to all questions according to the instructions given in the IGNOU MHD Assignment Question Paper . The MHD students have to submit the Assignments for each course to IGNOU Study Centre in which they get registered. The candidates have to submit it before the due date to appear in Term End Exam conducted by IGNOU.

IGNOU MHD Assignment Submission Last Date for 2024

Here is the Last Date for Submission of the IGNOU MHD Assignment to appear in the Upcoming Term End Exam December 2024 or June 2025 .

For TEE December 2024 30th September 2024
For TEE June 2025 31st March 2025

Where to Submit IGNOU MHD Assignments?

If you have completely solved your assignment then you have to submit your IGNOU MHD Assignments to the coordinator of the study centre which is allotted to you at the time of admission. Don’t forget to get a receipt for the submission of MHD Assignments.

After preparing the solution for your MHD Assignment, you have to submit IGNOU Assignments to the coordinator of the study centre which was allotted to you at the time of taking admission. Moreover, Don't forget to get a receipt for the submission of MHD Assignments.

55 thoughts on “IGNOU MHD Assignment 2023-2024 (July – January)”

SIR, PLEASE TELL TOTAL NUMBERS OF ASSIGNMENT FOR 1ST YEAR IN MHD, Need to prepare.

Total numbers of Assignments in 1st year in MHD ?

I have applied for mhd Ignou in march 2021 .so which session assignment questions should I write where submit answer study centre r online

Hey, I’ve too applied in the same month, but didn’t received any information regarding any classes and assignment. Are you too facing such issues ????

Till the time I haven’t receive the study material for MHD 1st year July Session. Please help.

Sir MHD first year ke assignment submit karne ki last date kya h

Have applied for MHD for July 2021 session ??

Hi Just want to know ki mhd 2nd year k assignments subject wise bnane hote h ya saare module k bnane hote h So confusing please help

Assignment kaha or kaise submit karne hai? Colleges toh band hai.

Where we have to submit assignments?

hi sir maine january 2020 m mhd ist year m admission liya to mujhe session 2019-20 ya 2020-21 konse vale session k assignment bnane hai please tell me sir 10 days rhh gye hai summit krne k

Hllo sir maine MA IInd year me Jan 2020 me admission liya hai aur DEC 2020 me TEE Hone hain. Assignment kon se bnane hain

I did not find IGNOU MHD first-year(session 2020-21) assignment anywhere? Could you please help me out for that or any particular link so that I will download the assignment.

Regards Dharmendra

hello sir/ madam, i took admission in MHD part1 january , which year assignments i have to solve and submit , i am not getting..

Mera admission MHD january 2020 me hua mera assignment kaun sa hi 2019- 2020 ya 2020 -2021

Hello sir M.A Part 1 hindi year 2019-2020 ke assignments kaha se download karu aur unke solved answers Kaha par Milenge I have to submit before 31st March

When will assignments for mhd 1st year ,session 2019-20 will b out??please tell..

when the assignment is update of mhd 1st year july 2019

what about MHD 21,22,23,24 ? why assignments are not shown or uploaded of these programme? can you please provide them sir

Dear sir/mam,

i am a student of first year mhd (ma hindi). till date i not submit my assignment. please guide me how can i do for appear in exam.

Sir, I am second year student. I opted mhd 21, mhd 22 mhd 23 and mhd 24 where I have to download assignment.

Aap sabhi ko assignment stationary ki shop par mil jaayega jo adhiktar colleges ki books rakhta hoga

Sir, i’m in MHD 2nd year I took admission in 2019 july session for 1st year I submitted all the assignments and I even got grade card but this time I’m a bit confused because for 2nd year I got MHD-5 ,7,9,10,11&12 as study materials which is not included in 2nd year 2020-2021 assignment questions…So can you please clear me doubts.

solve assignment kha se milenge sir mhd 2nd year ke

Anyone need answers of assignment 2018-19… Till now I have MHD-2 and MHD-4 (For free) 100%true answer

Sir hume mhd 2 ke question chahiye 2018-2019 ke

Sir i want mhd 1 year ka assignment chahiye pls help me

mujhe bhi plz tumhe mile to mujhe bhi bta dena

MHD ASSIGNMENT KA QUESTIONS PAPER JUNE 2019 NAHI MIL RAHA HAI SIR 2ND YEAR

क्या 1st year और 2nd year का assignment दोनों का एक साथ जमा करना पड़ता है?

Sir mai 1st year ka 2 paper de chuki hu aur do paper dena h plz aap bataye ki kya mai 1st year complete karne se pehle 2nd year ka assignment de sakti hu plz sir reply fast

Hi sir Cn we submit our assignment by post to the study center

no! aapko Study center jaakar hi assignment submit karane honge

Chapra me IGNOU ka study centre kaha hai

Mhd 4 ka solved assignment chahiye 2018-19 ka

Solved assignments kab ayenge

Dear sir/mam, When should the ignou assignment be submitted for june 2019 session. (For BA 3rd year)

Can I submit my Ignou mhd assignment for 2017-18 after 10th November last date of submission,for December term end exam . It’s humble request to allow me, as m mother of 10 month baby Nd working also, so m nt get proper time to do my assignment,

Can I will be allowed to give term end exam without submitting assignment

Maine July 2018 exam dena tha par nhi de paya but assignment jama kiya tha to December 2018 exam dene k lie phir se assignment jama krna hoga pls koi batae

Nhi ji jha pe submits ki h bha pe PTA kro ……..or banane ki jurut ni h …….mera bhi yasa hi tha ..

Sir, I need assignment paper for July 2018- january 2019 session of MHD II year. Please help sir till now not updated on ignou official website. Thankyou

Sir jan2020-21 ke assignments submit ke last date kab he

Thanks for the information

Kya apke pass sare book pahun gaye hain MHD ke ??

Nhi MHD 4 Ka aaya hai.

Bhai assignment ho toh first year ka send krdo bhai

Mhd first year ke assignment kb tk submit krne h..

31 March 2020 ko

No sir I received only 3 subject book

I am the student of m.a 2 year dec semester can I do this assignment

yes of course you do submit assignment 2nd year in last 30 september.

Sir ignou result assignments ke mark show nahi aa raha hai kis pr ja kr check kare hum.programm m.h.d.m.a.second year. Aur theory ke mark clear mark sheets show karo.if you don’t mind hum log Indian hai aur hindi language is the best.

MHD 1st year ka koi v book mujhe nahi mila .kya karu?or assignment kab tak jama karna hai .or kaise banau ise or exam kab hoga.mere mail par v koi information nahi aaya hai .pls guide me.

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IGNOU BABA

IGNOU MHD-6 Previous Year Question Papers

  • January 12, 2023

If you’re preparing for the  IGNOU MHD-6 Hindi Sahitya Evam Basha Ka Ethas  exam of MA Hindi, and are looking for old question papers, then below you’ll find a link to download IGNOU MHD-6 Previous Year Question Papers. We have uploaded the last 10-years question paper, These old paper provides an idea that what type of questions are asked in the IGNOU exams, simply click on the link below to download previous exam paper free of cost.

December 2023

MHD-06 Previous Paper Details

ProgrammeMA Hindi
Course Code/Subject CodeMHD06
Course Title/Subject Title
Paper LanguageHindi
YearsJune 2018 to June 2022
Doc typePrevious/old Exam Paper
Exam TypeOffline at Exam Center

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mhd 6 solved assignment 2021 22

IGNOU MHD-06 SOLVED ASSIGNMENT 2021-22 HINDI MEDIUM

mhd 6 solved assignment 2021 22

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IGNOU MHD-06 SOLVED ASSIGNMENT 2021-22 HINDI MEDIUM
IGNOU
Solved Assignment (Soft copy/PDF)
ENGLISH MEDIUM
2021-22
AUTO-GENERATED(PDF) AFTER PAYMENT IN WEBSITE PAGE IN DOWNLOAD SECTION AFTER PAYMENT YOU WILL GET ASSIGNMENT PDF ALSO IN EMAIL
IGNOU MHD-06 SOLVED ASSIGNMENT 2021-22 HINDI MEDIUM
before March 31th, 2021 for the session of July 2020 and
before September 30th, 2021 for the session of January 2021

Previous Year Assignments Are Also Available

Good Quality Assignments Help The Student To Gain A Better Percentage Because Of Its 30% Weightage In Final Marks

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MHD 06 Solved Assignment 2021-22

MHD 06 Solved Assignment 2021-22: MHD 06 Solved Assignment 2021-22 MHD 06 Assignment 2021-22 All IGNOU Assignment available at our website. IGNOU University always being in picture due to its IGNOU Assignment Date Extended. In this post Student will Get  MHD 06 Solved Assignment 2021-22 Easily.

सत्रीय कार्य

( खंड 1 से 8 पर आधारित )

सत्रीय कार्य कोडः एम . एच . डी -6/ टीएमए /2021-2022

कुल अंक : 100

1. आदिकाल की पृष्ठभूमि का परिचय दीजिए।

2. कृष्ण भक्ति काव्य के शिल्प विधान पर प्रकाश डालिए।

3. प्रयोगवाद की प्रमुख प्रवृत्तियों का विवेचन कीजिए।

4. स्वातंत्र्योत्तर हिंदी उपन्यासों पर निबंध लिखिए।

5. आदिकाल से आधुनिक काल तक के हिंदी के विकास क्रम का परिचय दीजिए।

6. निम्नलिखित विषयों पर टिप्पणी लिखिए :

क ) स्वच्छंदतावादी आलोचना

ख ) वैदिक साहित्य

ग ) हिंदी की पत्रकारिता का विकास

घ ) रामकाव्य परंपरा

ङ ) सूफी रहस्यवाद

MHD 06 SOLVED ASSIGNMENT 2021-22  : MHD 06 SOLVED Assignment 2021-22, MHD 06 Assignment 2021-22, MHD 06 Assignment, IGNOU Assignments 2021-22- Gandhi National Open University had recently uploaded the assignments of the present session for Programme for the year 2021-22. Students are recommended to download their Assignments from this webpage itself. They don’t got to go anywhere else when everything regarding the Assignments are available during this article only.

MHD 06 Solved Assignment 2021-22

MHD 06 Solved Assignment 2021-22:  FREE IGNOU Assignment You can Get All students of university who needs to submit assignments should download old assignments of the respective course of 2021 available above and submit at the concerned study center. The last dates will be 30th April and 30th October of every year until their registration is valid. New assignments will not be available any more for students as course was revised.

Where can I find Ignou solved assignment?

If you didn't get an Assignment Question yet then you can download it from the IGNOU Assignments section page. Just collect questions and start writing your assignment with the available solutions. IGNOU is very strict about checking of assignments submitted by students to IGNOU Study Centre.

How can we submit Ignou assignment?

Now students have to submit their assignments online to Madhyam before the scheduled date. You can submit your annual assignment through the online link. Through the online submission links issued by the university, you can submit your assignment from home.

How can I submit Ignou assignment online 2021?

The email must carry the following details of the sender:

·         1.     Name of the learner:

·         2.     Enrollment number:

·         3.     Regional Centre Code:

·         4.     Study Centre Code:

·         5.     Programme Code:

·         6.     Course Code(s) of attached assignments:

·         7.     Mobile number:

·         8.     Email ID:

How can I get first page of Ignou assignment?

The first page must include the following information.

·         1.     Name.

·         2.     Roll number.

·         3.     Address.

·         4.     Assignment number.

·         5.     Name of the course.

·         6.     Study Centre.

·         7.     Programme.

Date of submission.

You also directly download IGNOU Assignment Question Paper from –  Follow the advice and Guidelines by IGNOU University , For checking Guidelines you can see your question paper clearly, after seeing the question paper candidate still have any query related with IGNOU Solved Assignment , they can ask to their teacher if Students want any information they also can contact us. We will provide all IGNOU Help – 8130208920 (From 10:00AM to 7:00PM)

IGNOU Assignment Status 2021-22

MHD 06 Solved Assignment 2021-22 :  Those students who had successfully submitted their Assignments to their allocated study centres can now check their Assignment Status. Alongside assignment status, they will also checkout their assignment marks & result. All this is often available in a web mode. After submitting the assignment, you'll check you IGNOU Assignment Status only after 3-4 weeks. it'd take 40 days to declare.

Those students who had successfully submitted their Assignments to their allocated study centres can now check their Assignment Status. Along with assignment status, they can also checkout their assignment marks & result. All this is available in an online mode. After submitting the assignment, you can check you IGNOU Assignment Status only after 3-4 weeks. It might take 40 days to declare.

Here the students can check their IGNOU Assignment Status, marks, result or both the sessions i.e; June & December. Once the TEE assignments have been submitted to the Centres, it is send to the evaluation department. After which the evaluation of IGNOU Assignment Solutions takes place.

Here the scholars can check their IGNOU Assignment Status 2020, marks, result or both the sessions i.e; June & December.

MHD 06 Solved Assignment 2021-22 Once the TEE

 assignments are submitted to the Centres, it's send to the evaluation department. After which the evaluation of IGNOU Assignment Solutions takes place.

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MHD 06 Solved Assignment 2021-22

MHD 06 Solved Assignment 2021-22 , MHD 06 Solved Assignment 2022 , MHD 06 Assignment 2022 , FREE MHD 06 Assignment , IGNOU Assignments 2021-22- Gandhi National Open University had recently uploaded the assignments of this session for MA IN HINDI  for the year 2021-22. Students are recommended to download their Assignments from this webpage itself. They don’t need to go anywhere else when everything regarding the Assignments are available during this text only.

Before you attempt the assignments, please examine the commands carefully furnished within the Programme Guide. It is essential which you write the solutions to all the TMA questions in your very own phrases. Your answers must be in the approximate variety of the word-restrict set for a selected section. Remember, writing answers to task questions will improve your writing skills and put together you for the time period-stop exam.

MHD 06 Solved Assignment 2021-22 : for college kids – MHD 06 Solved Assignment 2021-22 , Students are advised that after successfully downloading their Assignments, you’ll find each and every course assignments of your downloaded. Candidates got to create separate assignment for the IGNOU Master Course, so as that it’s easy for Evaluators to ascertain your assignments.

  • 1.1 GUIDELINES FOR MHD 06 Solved Assignment:-
  • 1.2 Please ensure the following before submitting your assignment :
  • 1.3 Related

Following commands are to be cautiously followed earlier than writing the assignments:

1. Use A4 size ruled paper for your response and tie all of the pages cautiously. Allow a four cm margin on the left and leave a few space between each answer. This will facilitate the evaluator to put in writing beneficial remarks in the margin at appropriate places.

2. Answers ought to be for your personal handwriting. Do not print or type the solutions. Do now not reproduction your answers from the study material sent to you via the University or from different freshmen. If you copy, you may get zero marks for the respective question.

3. You want to attach a duplicate of the TMA with the finished assignment earlier than submitting it.

MHD 06 2021-22 Question Paper —CLICK HERE!

4. In case you have requested for a exchange of Study Centre, you need to publish your Tutor Marked Assignments best to the authentic Study Centre until the trade of Study Centre is notified via the University.

5. If you discover that there may be any authentic error in assessment of your assignments, e.G., any part of mission response has no longer been evaluated or overall of rating recorded on mission response is inaccurate, you should technique the coordinator of your examine middle for correction and transmission of accurate rating to headquarters.

GUIDELINES FOR MHD 06 Solved Assignment:-

You will find it useful to keep the following points in mind:

1) Planning: Read the assignments carefully, go through the Units on which they are based. Make some points regarding each question and then rearrange them in a logical order. 2) Organisation: Be a little selective and analytic before drawing up a rough outline of your answer. Give adequate attention to your introduction and conclusion. Make sure that your answer: a) is logical and coherent; b) has clear connections between sentences and paragraphs, and c) is written correctly giving adequate consideration to your expression, style and presentation. 3) Presentation: Once you are satisfied with your answer, you can write down the final version for submission, writing each answer neatly and underlining the points you wish to emphasize. Make sure that the answer is within the stipulated word limit.

Please ensure the following before submitting your assignment :

1. Your enrolment number, name and address have been written correctly. 2. The title of the course and assignment number has been written clearly. 3. Each assignment on each course has been written on separate sheets and pinned properly. 4. All the questions in a particular section should be answered before attempting the next section.

IGNOU TEE Exam Date Sheet for June 2021

MHD 06 Solved Assignment 2021-22 You don’t need to worry & go anywhere else on the online as everything regarding the   MA IN HINDI Assignments are available on this page. Students can easily download the IGNOU Assignments and submit them whenever they’re required to submit their assignments no matter their study centers. If you’re finding out the IGNOU MA IN HINDI Solved Assignment for 2021-22 Session then finally you’re at the right place. IGNOU MA IN HINDI Solved Assignments for 2021-22 are now available for download. you’ll easily get the PDF files by clicking the download button against the particular subject that you simply simply wish to choose .

MHD 06 Solved Assignment , you’ll download the MA IN HINDI IGNOU assignments for courses , After submitting the assignment at the Study Centre / Programme Study Centre get the acknowledgement from the Coordinator / Programme In-charge. In case you have requested for a change of Study Centre, you should submit your Tutor Marked Assignments only to the original Study Centre until the change of Study Centre is notified by the University.

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MHD-6 Hindi Bhasha Our Sahitye Ka Etihas Solved Assignment IGNOU 2022-23

mhd 6 solved assignment 2021 22

All the students of Indira Gandhi National Open University or IGNOU who are pursuing Master Degree Programme or Master of Arts (MA) and have selected Hindi Subject as Specialization Course (Course Code: MHD-06) in Hindi Bhasha Our Sahitye Ka Etihas as their course have to submit IGNOU MHD-06 solved assignment for the batch 2022-23.

These solved assignments are valid for candidates who will appear in the June, 2023 and December, 2023 IGNOU examinations. Our team of IGNOU experts created these solved assignments and are always ready to help you out with your IGNOU handwritten assignments and exams. The university uploads the assignment questions once a year for both sessions and hence you can get the solved assignments anytime from our website.

Important Note: It should be noted that the students should submit the assignment at their study center chosen during filling up the IGNOU admission form. The details of MHD-06 Hindi Bhasha Our Sahitye Ka Etihas Solved Assignment IGNOU 2022-23 are given below:

  • Programme Name:  Master Degree Programme or Master of Arts
  • Course Code: MHD-06
  • Assignment code: MHD-06/AST/TMA/2022-23
  • Validity of Assignment:  These assignments will remain valid for JUNE, 2023 & DECEMBER, 2023 IGNOU Examination

Assignments carry a significant weightage in the final evaluation. The IGNOU university gives 30% weightage to these assignments, so these are to be submitted on time. This means that 30% of the total marks obtained by the students in the assignments will be added to the total marks of the course. Therefore, total marks for any course will be a combination of theory and assignment marks, i.e. 70% and 30% respectively.

Is it Compulsory to Submit IGNOU Assignment?

Ignou mhd-06 assignment free download, last date of ignou mhd-06 assignment submission, important guidelines to write ignou mhd-06 solved assignments.

Indeed, every IGNOU up-and-comers need to compose and present their assignments to the examination community before the due date. On the off chance that any understudy neglected to submit, at that point he/she can't go to the Term End Exam led by IGNOU University. Competitors can likewise get bits of help from IGNOU Solved Assignment to get ready the best assignment sheet for submitting to the center.

mhd 6 solved assignment 2021 22

Students can easily download IGNOU MHD-06 Assignment Question Papers free of cost from the IGNOU University's Official Website. They do not have to pay any charges or fees for that.

For June, 2023 Batch 30th April,           2023 To, the Coordinator of the Study

For students admitted to the Centre allotted to them

For December, 2023 Batch 30th  September,  2023

There are a few guidelines provided by the university to write assignment answers. These are mentioned below:

  • The answers should be written in the student's handwriting only.
  • Please write the answers in simple and correct English.
  • The number of words should not exceed the limit provided in front of each question in the assignment booklet.
  • Most importantly, it should be neat and clean.
  • Students should make use of foolscap size paper for writing answers. Also, tag all the pages carefully.
  • Write the relevant question number at the start of each answer.
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IGNOU MHD SOLVED ASSIGNMENT 2021-22

If you are searching out Ignou MA Hindi (MHD) solved assignments 2021-22? So this platform is the best for Ignou assignments for 2021-22 . Here we are able to offer you the entire statistics about Ignou MA Hindi (MHD) solved assignments free of cost download 2021-22. We will provide all the IGNOU MHD solved assignments free of cost download 2021-22 for all courses.

This Programme exposes learners to a wide range of Hindi literature. It consists of courses worth 64 credits. The programme can be completed in a minimum period of two years and a maximum period of five years.

Program Code: MHD HINDI

Session: July 2021- January 2022

IGNOU MHD SOLVED ASSIGNMENT 2020-21 FREE Download

We Provide a Hard Copy & soft copy (pdf) of Solved assignment

How To Download IGNOU Solved Assignments?

  • Select your subject code and then click on Download Now.
  • Add your product in cart and for more assignments repeat the process.
  • After adding your product to the cart, click on View Cart.
  • Review your order and then Update your cart.
  • Click Proceed to checkout.
  • Then fill up your details, click on the checkbox and proceed to pay.
  • Now your Pdf file is ready to download.
  • Download your assignment successfully.

IGNOU Assignments Submission Last Date for 2021-22

For July 2021 Session: 31st March 2022

For January 2022 Session: 30th September 2022

How might we check our assignment status?

To check the status of the assignment, visit this link to the official website of GNOU.

https://admission.ignou.ac.in/changeadmdata/StatusAssignment.ASP.

Assignment/Project/Practical Submission Status/Checking:

  •  Enter Enrollment No. (9 Digit)*.
  • Enter the Programme Code.
  • By clicking on the submit button, you will get the result on the screen.

How can we get good marks in IGNOU assignments?

To get good marks in IGNOU assignments we should follow the followings methods:

  • The matter (answers) should be ours.
  • Our every answer should be  Unique and not copied from anywhere.
  • We have written all answers in easy and understandable language in assignments.
  • We put all our efforts into writing to make it best, we will check all the assignments after completion.
  • We will follow all rules of  Ignou during the presentation of assignments.
  • All pages of the assignment should be properly arranged and attached inside a file.
  • All answers should be written in good handwriting.
  • Proper indentation must be used.
  • Each and every answer should be properly numbered.
  • Only white A4 sheets should be used for preparing assignments.
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Coroner offers new details about fatal slaying of 4 U of Idaho students after preliminary autopsies

The local coroner is offering more details about the brutal slaying of four college students in Moscow, Idaho, early Nov. 13.

The autopsies for Madison Mogen, 21, Kaylee Goncalves, 21, Xana Kernodle, 20, and Ethan Chapin, 20, were completed Nov. 16, Latah County Coroner Cathy Mabbutt said.

In an interview with NBC News Nov. 17, Mabbutt said the autopsy gave a clearer picture of what time the four were killed, their “extensive” wounds, and what the murder weapon was.

"It would have been early in the morning, sometime after 2 a.m., but still during the night," Mabbutt said, adding that there wasn't a medical way to determine who was attacked first, but investigators are "trying to put timelines together with other text messages and other technology."

She said that the murder weapon "would have been a bigger knife" to be consistent with their "pretty extensive" wounds.

(Left) Ethan Chapin, 20, and Xana Kernodle, 20. (Right) Kaylee Goncalves and Madison Mogen, both 21.

Mabbutt said that the victims showed "little bit of bruising" but "nothing significant." She added that some bruising "wouldn't be uncommon during a stabbing."

Mabbutt couldn't say how many times each victim was stabbed but said it was safe to say each of them had multiple wounds. She declined to say where on the body they were stabbed and later clarified that the victims were stabbed in different places and a different amount of times.

Mabbutt said it was likely the four had bled out in the home.

She said DNA samples have been taken from the scene and are being processed. When pressed, she said it was "possible" that some of the DNA being tested may not be of the four victims.

"There were nail clippings that were taken, and other ones that are being sent off, and so that will be processed," she said.

They are awaiting final autopsy results, which will not be available for another four to six weeks, pending toxicology. Mabbutt said in this case, the toxicology reports likely wouldn't be important to the investigation.

She added that the autopsies were completed by Spokane Medical Examiners Office — located in Spokane, Washington, about 90 minutes northwest of Moscow — but she responded to the scene a few hours after police were called.

"It’s pretty traumatic when there’s four dead college students ... who’ve been stabbed to death in one location," she said, adding that there was “quite a bit” of blood at the scene.

"I’ve been coroner for 16 years... we have had multiple (victim) murders in the past, but nothing, nothing like this," she said.

Police said that they did not have any suspects and were still looking for whoever was responsible for the deaths of the four friends.

“We cannot say that there is no threat to the community,” Moscow Police Chief James Fry said at a press conference on Nov. 16. “There is a threat out there, possibly.”

“We do not have a suspect at this time, and that individual is still out there,” he added. “We cannot say there is no threat to the community.”

Fry said that two additional roommates had been home at the time of the killings but they were not considered witnesses and are actively cooperating with the investigation. He said the 911 call came in at noon on Sunday morning — hours after authorities believe the four were killed.

The morning of Nov. 17, Latah County Prosecuting Attorney Bill Thompson told TODAY that it "certainly is possible" there could be more than one suspect in the case.

“The fact of the matter is whoever’s responsible for these murders is still at large,” he said. “The investigators do not know who that person is.”

mhd 6 solved assignment 2021 22

Sam Kubota is a senior digital editor and journalist for TODAY Digital based in Los Angeles. She joined NBC News in 2019.

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University of Idaho murders 1 year later: Where the case stands

Four students were killed in an off-campus house on Nov. 13, 2022.

Monday marks one year since four University of Idaho students were stabbed to death in a gruesome home invasion that garnered intrigue from people across the nation.

In the early hours of Nov. 13, 2022, roommates Kaylee Goncalves , Madison Mogen and Xana Kernodle, and Kernodle's boyfriend Ethan Chapin , were killed inside the girls' off-campus house in Moscow, Idaho. Two other roommates survived.

MORE: Idaho college murders: The complete timeline of events

After an intensive six-week search for a suspect, 28-year-old Bryan Kohberger, a criminology Ph.D. student at nearby Washington State University, was arrested on Dec. 30 at his family's Pennsylvania home.

Here's what you need to know as the case against Kohberger moves forward :

The shocking crime

One of the surviving roommates said she woke up around 4 a.m. on Nov. 13, 2022, from what sounded like Goncalves playing with her dog in one of the third-floor bedrooms, according to court documents.

"A short time" after, the roommate said "she heard who she thought was Goncalves say something to the effect of 'there's someone here,'" the documents said. But that could have been Kernodle on her phone because records showed she was on TikTok at about 4:12 a.m., the affidavit said.

mhd 6 solved assignment 2021 22

MORE: Lawyer for Idaho college killings suspect Bryan Kohberger says he was driving alone night of murders

The roommate said "she looked out of her bedroom but did not see anything when she heard the comment about someone being in the house," the documents said. "She opened her door a second time when she heard what she thought was crying coming from Kernodle's room."

The roommate "then said she heard a male voice say something to the effect of 'it's ok, I'm going to help you,'" according to the documents.

The roommate said she opened her door again after she heard the crying -- and then saw a "figure clad in black clothing and a mask that covered the person's mouth and nose walking towards her," who she described as "5'10" or taller, male, not very muscular, but athletically built with bushy eyebrows," and who "walked past" her "towards the back sliding glass door" as the roommate stood in "frozen shock," according to a police affidavit.

Who were the victims?

Kaylee Goncalves, 21, and Madison Mogen, 21, were lifelong best friends and inseparable. Goncalves was set to graduate in December 2022 and move to Texas.

Goncalves' sister, Alivea Goncalves, considered Mogen a sister, too. She said she was comforted by the fact that the best friends were in the same bed together in their final moments.

"If I couldn't have been there to hold their hands and to take that pain from them, at least they had each other," she told ABC News.

mhd 6 solved assignment 2021 22

The two other victims were 20-year-old Xana Kernodle, and her boyfriend, 20-year-old Ethan Chapin.

Chapin was a triplet. His brother and sister also attend the University of Idaho.

Chapin and Kernodle were the "perfect pair" who had an "unstoppable, loving relationship," a surviving roommate said in a statement in December.

"They both would look at each other with so much love," she said.

mhd 6 solved assignment 2021 22

Pieces of evidence

After the victims were discovered, authorities reviewed surveillance video from the area and saw the suspect's white Hyundai Elantra go by the victims' house three times, before entering the area for a fourth time at 4:04 a.m, according to the affidavit.

Police said they traced the car's travel that night back to nearby Pullman, Washington, where the suspect lived while attending Washington State.

Kohberger's phone was tracked heading to Moscow before the attack and as the driver of the white Elantra returned to Pullman. However, the phone was off from 2:47 a.m. to 4:48 a.m., which "is consistent with Kohberger attempting to conceal his location during the quadruple homicide," the document said.

MORE: Idaho authorities probe Amazon 'click activity' for knives possibly connected to college killings

His phone was near the victims' house at least 12 times before the murders, at least as far back as August, the document said.

DNA from the suspect was also recovered on a knife sheath left on Mogen's bed, according to the documents.

Where does the case stand?

Kohberger is charged with four counts of first-degree murder and one count of burglary. He could face the death penalty if convicted.

The former Ph.D. student declined to offer a plea at his arraignment in May, so the judge entered a not guilty plea on his behalf.

mhd 6 solved assignment 2021 22

MORE: Trial for Idaho college killings suspect Bryan Kohberger delayed indefinitely

Kohberger's lawyers have said their client wasn't in the home where the homicides occurred and was driving around alone that night.

In August, Kohberger waived his right to a speedy trial, indefinitely delaying what was supposed to be an Oct. 2 start date.

A new trial date has not been set.

What possible hurdles are ahead during trial?

The DNA discovered on the button snap of the knife sheath that was found near Mogen's body is a critical linchpin for the prosecution in what is a largely circumstantial case.

That DNA, authorities argued, undeniably links Kohberger to the crime scene, saying that DNA "showed a statistical match" with a cheek swab taken directly from Kohberger after his arrest.

mhd 6 solved assignment 2021 22

Kohberger's attorneys have attempted to cast doubt on the strength of investigators' evidence and whether it pointed irrefutably to just their client, including the DNA. The defense has repeatedly asked for more information on the genealogical analyses used to zero in on Kohberger, and have pushed back on investigators' analysis that the DNA is a statistical match.

Kohberger's attorneys also highlight what they called a "total lack of DNA evidence" from the victims in Kohberger's home or car.

"There are so many layers that make this an extraordinary case -- and the defense is going to attack any aspect of it that they see as vulnerable," David Calviello, a former New Jersey prosecutor who is now a criminal defense attorney, told ABC News in August. "It makes sense for them to take shots at how certain evidence was presented to the grand jury -- whether there were missed steps, cut corners, chain of custody problems, contamination -- or not. "

The knife used in the murders has not been recovered.

A series of now-unsealed search warrant documents show investigators have sought records of Amazon purchases and click history data for an Amazon customer including "all detailed customer click activity pertaining to knives and accessories," as well as a long list of information that could flesh out the customer's full shopping movements and interests on the site, like items that were wish-listed or saved for later. If prosecutors can link Kohberger to the purchase of a knife that could have been used in the killings, experts say that could help bolster their case.

What will happen to the house?

The University of Idaho announced in February that the house where the four students were killed would be torn down, with university President Scott Green calling it "a healing step."

In June, a university spokesperson said the school planned to demolish the house before students returned to campus in the fall.

In July, the university announced a sudden halt to the demolition plans as they removed asbestos and lead from the home -- and amid objections from some of the victims' families who expressed concern that demolishing the house before Kohberger's trial could cause unanticipated problems for prosecutors as they try to secure a guilty verdict.

mhd 6 solved assignment 2021 22

About two weeks after Kohberger waived his speedy right to a trial in August, university officials decided they would hold off on tearing down the home until at least the end of the fall semester, which ends in mid-December.

With no new trial date set, prosecutors asked the University of Idaho for access to the house.

The university said FBI agents would be at the house on Oct. 31 and Nov. 1 "to get documentation to construct visual and audio exhibits and a physical model of the home."

"While the university still intends to demolish the home, it will not be done this semester," the university said on Oct. 31.

The families

Ethan Chapin, who was a triplet, had been planning his 21st birthday with his siblings "forever," his parents said. Last month, his brother, Hunter, and sister, Maizie, turned 21 without him.

PHOTO: Ethan Chapin surfs on Priest Lake in northern Idaho in this family photo from July 2022.

As the Chapins face one year without Ethan, they said they plan on acknowledging Nov. 13 with a private fundraiser for their foundation, Ethan's Smile Foundation, to help provide scholarships to post-high school students so that they can follow their dreams. The Chapins said they can't think of a better way to honor their son than to support education.

"Ethan stood for love, kindness, laughter and loyalty," his mother, Stacy Chapin, told ABC News. "He was the very best."

Kaylee Goncalves' dad, Steve Goncalves, said Kaylee's younger siblings are now grappling with their own birthdays. He said "they don't want to be older than their sister."

mhd 6 solved assignment 2021 22

To Steve Goncalves, Nov. 13 is not an anniversary.

"This is more like a memorial -- some type of an event that you have to look at and think about, but it's not something that you ever look forward to," he told ABC News.

"My daughter has allowed me to meet people across the world through her life and memory and her beauty. And I'll thank her one day when I see her," Steve Goncalves said. "I'll tell her how much she impacted the world and how proud of her I am."

FOLLOW THE PODCAST: " The King Road Killings: An Idaho Murder Mystery " from ABC News, available on Apple Podcasts , Spotify , Amazon Music , or your preferred podcast player.

ABC News' Kayna Whitworth, Nick Cirone and Timmy Truong contributed to this report.

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A novel approach for material handling-driven facility layout.

mhd 6 solved assignment 2021 22

1. Introduction

  • Layouts with facilities that have different areas;
  • Facilities whose shape can change with an aspect ratio;
  • Layouts with FBSs;
  • Assignment of different types of MHD;
  • Considering the purchase, use, and non-use of MHD;
  • Decisions on facility layouts are made simultaneously with decisions on material-handling vehicles.

2. Background

3. materials and methods, 3.1. the mathematical model used for the problem, 3.2. outline of the proposed hybrid heuristics, 3.3. genetic algorithm, 3.3.1. individual representation, 3.3.2. evaluation of an individual.

DFLP-EM fitness evaluation
Procedure DFLP-EM (chromosome,
, )
  Generate facility layout (S ) from chromosome
  Generate , , from S
Z = Evaluation ( , , , ) // run DFLP-EM model
If Z feasible then
   S S
      Z Z
else
      S
      Z M
end if
  Return S , Z
End Procedure

3.3.3. Selection Method

3.3.4. crossover process, 3.3.5. mutation process, 3.4. the simulated annealing algorithm, 3.4.1. solution encoding in the hsa, 3.4.2. evaluation of a solution, 3.4.3. neighborhood structure, 4.1. parameter tunning, 4.2. results for known instances, 4.2.1. results for the fbs-dflp-1 instance, 4.2.2. results for the fbs-dflp-2 instance, 4.2.3. results for the fbs-dflp-3 instance, 4.2.4. results for the fbs-dflp-4 instance, 4.2.5. evaluation of results, 4.3. computational study, 4.4. sensitivity analysis, 5. conclusions, author contributions, data availability statement, acknowledgments, conflicts of interest, nomenclature.

:
Facility width on the x axis
Facility height on the y axis
Maximum allowed number of bays at period t
Required area for department i at period t
Aspect ratio for department i
Amount of material flow between departments i and j in period t
The cost for transporting per unit material a unit distance between departments i and j using g device in period t
Rearrangement fixed cost of shifting department i at the beginning period t
Rearrangement variable cost of shifting department i at the beginning period t
The capacity of the device g between facilities i and j
Average percentage working time of device g with load
Average speed of MHD g in meters per minute
Average loading and offloading time of device g that is transporting at a medium speed (in min)
Purchasing cost per unit material handling device g at the beginning of the period t
Non-operating cost per unit material handling device g thorough period t
Operating cost per unit material handling device g thorough period t
Department assignment matrix include ones if department i is assigned to bay k in period t
Bay occupancy matrix include ones if bay k is used in period t
Department assignment matrix include ones if department i is above department j in period t
Width (the length in the x-axis direction) of bay k in period t
Height of department i in bay k in period t
Height (the length in the y-axis direction) of department i in period t
Coordinates of the centroid of department i in period t (x-axis)
Coordinates of the centroid of department i in period t (y-axis)
= = + Horizontal distance between the centers of departments i and j in period t
= = + Vertical distance between the centers of departments i and j in period t
= = + The amount of horizontal movement for department i from period t − 1 to t
= = + The amount of vertical movement for department i from period t − 1 to t
Number of g devices used in period t
Number of purchased device g in the period t
Number of g devices not used in period t
 
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Click here to enlarge figure

StudyType of ProblemProblem CharacteristicsSolution MethodsObjective(s)StudyType of ProblemProblem CharacteristicsSolution MethodsObjective (s)
McKendall Jr and Shang [ ]DFLPQAPACO, HRDBE, SA, and LALNMMHC and MRCSalimpour and Azab [ ]DFLPQAP and EA-FLPDP, GA, and LFDHMMHC and MRC
Mazinani et al. [ ]DFLPUA-FLP and FBSGA and MIPMMHC and MRCLiu et al. [ ]DFLPUA-FLPWL, ESS, PSHS, and PSMMHC and MRC
Ulutas and İslier [ ]DFLPQAP and EA-FLPCSOMMHC and MRCTayal and Singh [ ]SDFLPQAP and UA-FLPBDA, CSA, and FAMMHC, MRC, and
MQC
Vitayasak et al. [ ]SDFLPUA-FLPGA and BTAMMHC and MRCTayal and Singh [ ]SDFLPQAPMM, TS, and CSAMMHC, MRC, and
MQC
Kulturel-Konak [ ]DFLPUA-FLPMM and TSMMHC and MRCSalimpour et al. [ ]DCFLPSRA, DPDP, and UA-FLPNSGA-II, MDEDP, and NSSMMHC and MADC
Turanoğlu and Akkaya [ ]DFLPQAP and EA-FLPBFA and SAMMHC and MRCZavari et al. [ ]DCSLPBIM, GIS, and UA-FLPGPWOMSTD and MSSL
Hunagund et al. [ ]DFLPUA-FLP, FBS, and RAMM and SAMMHCZeng et al. [ ]DFLPUA-FLPMM, FPMS, GA, and SAMMHC and MRC
Khajemahalle et al. [ ]DFLPQAP, UFV, and RANPT and SAMMHC and MRCKulturel-Konak [ ]DFLPFBS, UA-FLP, and DPDPSA, VNS, and MIPMMHC and MRC
Peng et al. [ ]SDFLPRA and MHDMCS and GAMMHC and MRCZha et al. [ ]DFLPUA-FLP, and UFVPSO, SA, DEM, and PCMMMHC and MRC
Asl and Wong [ ]DFLPUA-FLPPSO, LS, and DEMMMHC and MRCErfani et al. [ ]DFLPUA-FLP and JSSNSGA-II and LSMMHC, MRC, and MAD
Erik and Kuvvetli [ ]DFLPFBS, UA-FLP, and MHDMIPMMHC, MRC, and
MTEC
Hunagund et al. [ ]DFLPUA-FLP, EA-FLP, and FBSSA and UYSMMHC and MRC
Kheirkhah and Bidgoli [ ]DFLPMHDGT, SA, and ICAMMHC, MRC, and
MTEC
Zolfi and Jouzdani [ ]DFLPFBS, AVLE, and EA-FLPSAMMHC, MRC, and
MEC
Kumar and Sing [ ]DCFLPDDMSSSTPMMHC, MRC, and
MAD
Hosseini et al. [ ]DFLPRA and QAPSA, ICA, and VNSMMHC and MRC
Lamba et al. [ ]DCFLPQAP and EA-FLPMIP and SAHIMMHC,
MRC, and MECC
Xiao et al. [ ]DFLPUA-FLP, DPDP, and RAPSOMMHC and MESC
Wang et al. [ ]DFLPVDE and CDSAGVTPNMMHC, MRC, and
MTPC
Kaveh et al. [ ]DFLPQAP and EA-FLPCCP, DCCP, FS, GA, and SAMMHC and MRC
Pournaderi et al. [ ]DFLPBC, QAP, and MHDCBSA, NSGA-II,
NRGA, and TGM
MMHC and MRCGhadirpour et al. [ ]SDFLPFIN and QAPMMMMHC and MRC
Molla et al. [ ]DFLPQAPCROMMHC and MRCTayal et al. [ ]SDFLPQAP and SPBDA, DEA, UML, and K-meansMMHC, MRC,
MHWC, and GEM
Tarigan et al. [ ]DFLPUA-FLPCRAFTMMHC and MRCSeyed et al. [ ]SDFLPUA-FLPMIP and GAMMHC and MRC
Al Hawarneh et al. [ ]DCSLPUA-FLPBILPMMHC and MRCZhun et al. [ ]DFLPUA-FLPPOA, MMP, CF, and GFMMHC and MRC
Sahin et al. [ ]DFLPSRLSA, GA, CF, and APSMMHC and MRCAlamiparvin et al. [ ]SDFLPUA-FLPPSOMMHC and MRC
Matai and Singh [ ]DFLPQAPMIPMMHC and MRCEsmikhani et al. [ ]DFLPUA-FLPSA, NSGA-II, MIPMMHC and MCA
Hosseini et al. [ ]DFLPQAP and MHDGA, CT, and SAMMHC and MRCBarzinpour et al. [ ]DFLPQAP and EA-FLPIWOMMHC and MRC
Guan et al. [ ]DFLPSFL and UA-FLPBSVA and EALMMHC and MRCMcKendall Jr et al. [ ]DFLPQAP and EA-FLPSA and LALBMMHC and MRC
Palubeckis et al. [ ]DFLPUA-FLP and SRLDKAAMMHC and MRCSahin [ ]DFLPQAPSAMMHC and MRC
Zouein and Kattan [ ]DFLPQAP and EA-FLPACOMMHC and MRCKulturel-Konak and Konak [ ]DFLPCFL and UA-FLPLSO and SAMMHC and MRC
Pérez-Gosende et al. [ ]DFLPUA-FLPMIPMMHC, MRC, and
MAD
Moslemipour [ ]SDFLPQAP and EA-FLPCSO and SAMMHC and MRC
Pourhassan and Raissi [ ]DFLPQAPPSO and GAMMHC and MRCTayal and Singh [ ]SDFLPQAPCSA and FAMMHC and MRC
Tayal et al. [ ]SDFLPQAPDEA, UML, SML,
SA, CSA, and FA
MMHC, MRC, and
MQC
Azevedo et al. [ ]DFLPUA-FLP and QAPMMMMHC, MRC,
MDI, and MAD
Our studyDFLPFBS, UA-FLP, and MHDGA and SAMMHC, MRC, and
MTEC
Performance MetricsMethodsFBS-DFLP-1FBS-DFLP-2FBS-DFLP-3FBS-DFLP-4
Maximum Deviations from OptimalHGA5.44%6.54%6.57%4.42%
HSA5.86%11.69%5.99%4.87%
PSO18.75%27.31%18.50%6.62%
Minimum Deviations from OptimalHGA0.22%1.13%2.70%0.68%
HSA0.69%0.01%0.00%0.00%
PSO8.92%11.58%3.42%1.11%
Average Deviations from OptimalHGA2.34%3.91%4.75%2.41%
HSA2.97%5.37%2.41%1.17%
PSO13.55%19.1810.38%4.20%
Standard DeviationsHGA1.84%1.96%1.40%1.21%
HSA1.73%3.92%2.31%1.74%
PSO3.42%1.57%4.55%1.68%
Average CPU Time (s)HGA420460590540
HSA131139452431
PSO382476613702
Problem InstancesNumber of FacilitiesNumber of PeriodsNumber of Maximum Flexible BaysAverage of Facilities’ Maximum Aspect RatioAverage of Facility Areas (m )
P11023412
P21033412
P310456.212
P410556.212
P51523168
P61533168
P71543168
P81553168
P9823415
P10833415
P118436.515
P128536.515
P1316247.757.5
P1416347.757.5
P1516457.757.5
P1616557.757.5
P1712255.1716.67
P1812355.1716.67
P1912455.1716.67
P202421010.4319.55
P212431010.4319.55
P222441010.4319.55
Problem InstancesCost
(HGA)
Cost
(HSA)
Cost
(PSO)
Time (s)
(HGA)
Time (s)
(HSA)
Time (s)
(PSO)
P116,626.9416,572.4717,346.82537.63111.54622.59
P222,333.4921,612.8122,498.10690.69214.87653.28
P330,207.9929,106.4530,750.29516.67355.66453.51
P438,433.4537,598.2140,202.561066.70402.57709.40
P532,066.6332,055.5633,042.842029.64551.522050.88
P640,144.8539,497.0139,948.231608.37792.25873.74
P760,276.2457,131.5058,655.59777.69919.47801.67
P871,146.6669,784.4972,124.021709.36799.37953.24
P910,091.9510,069.3810,459.28452.25131.21487.64
P1014,686.7213,922.8515,158.94781.52229.77545.91
P1120,037.6420,020.5220,616.85392.36413.76486.24
P1225,432.3824,589.9625,463.16335.26325.58483.55
P1343,156.9139,851.1944,115.84474.39785.02400.17
P1460,615.2560,099.4560,660.23647.84213.21585.74
P1582,080.5181,180.3882,943.24877.26761.51855.57
P16101,882.7595,484.64100,687.28909.39875.661205.39
P1749,949.8449,298.4550,026.62702.23227.95420.37
P1876,915.0673,183.0174,681.05961.17319.131110.27
P1910,4461.47100,400.70103,325.151394.36404.351340.26
P20300,964.48291,006.33316,868.821871.461148.141248.64
P21454,500.87450,877.41470,315.111644.171442.821974.21
P22606,572.72604,294.66606,572.722015.321652.242347.62
Problem InstancesTotal Rearrangement
(m)
(HGA)
Total Rearrangement
(m)
(HSA)
Total Movement
(m)
(HGA)
Total Movement
(m)
(HSA)
Number of MHD
P167.9581.821414.414561 (Type 2)
P2150.75136.722155.5620881 (Type 2)
P3185.64247.162867.229281 (Type 2)
P4295.69272.67368835801 (Type 2)
P592.17125.82334831681 (Type 2)
P6215.68196.245256.952921 (Type 2)
P7363.53328.877232.0469841 (Type 2)
P8459.13408.018680.581451 (Type 2)
P946.4565.13813.056824.321 (Type 2)
P10120.7128.11297.921297.921 (Type 2)
P11166.05179.141710.081761.281 (Type 2)
P12230.04213.552248.962163.21 (Type 1)
P13118.68120.723911.683747.842 (Type 2)
P14245.69237.575861.3765683.22 (Type 2)
P15366.64341.568273.927823.362 (Type 2)
P16464.24473.16998410,2402 (Type 2)
P17106.8485.542511.362580.484 (Type 1)
P18198.7208.083991.683818.884 (Type 1)
P19330.07322.2151845091.844 (Type 1)
P20377.55299.3815,897.615,805.4418 (Type 1)
P21591.66727.9324,606.7223,984.6419 (Type 1)
P22974.52949.4632,440.3232,071.6819 (Type 1)
ParametersHybrid Genetic AlgorithmHybrid Simulated Annealing Algorithm
−10%10%−10%10%
DecisionsObjective ValueTimeDecisionsObjective ValueTimeDecisionsObjective ValueTimeDecisionsObjective ValueTime
INFINF−0.72%1.98%7.62%INFINF11.21%−2.09%36.32%
INFINF1.35%0.58%0.45%INFINF1.35%0.18%13.00%
INFINF−19.28%−3.35%128.70%INFINF−1.35%−1.30%67.71%
INFINF−15.70%−6.45%102.69%7.12%11.21%3.91%55.16%
−2.09%31.28%INFINF13.59%−9.87%86.55%INFINF−10.31%
−8.45%1.35%11.91%1.35%−11.48%28.25%22.78%8.52%
7.23%−2.24%0.77%−10.31%6.97%4.93%8.29%12.11%
5.81%−13.00%−0.37%−4.93%−1.95%14.80%11.10%23.77%
−0.05%19.28%0.27%24.66%1.86%41.70%−5.17%21.08%
−0.71%−16.59%−1.03%8.52%−5.81%12.11%4.04%15.70%
1.42%4.04%8.69%−3.14%−5.99%20.18%1.27%126.91%
−2.56%4.93%0.74%15.70%2.77%11.21%6.55%22.87%
13.87%−13.00%2.83%11.21%6.39%39.01%6.39%1.31%
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Erik, A.; Kuvvetli, Y. A Novel Approach for Material Handling-Driven Facility Layout. Mathematics 2024 , 12 , 2548. https://doi.org/10.3390/math12162548

Erik A, Kuvvetli Y. A Novel Approach for Material Handling-Driven Facility Layout. Mathematics . 2024; 12(16):2548. https://doi.org/10.3390/math12162548

Erik, Adem, and Yusuf Kuvvetli. 2024. "A Novel Approach for Material Handling-Driven Facility Layout" Mathematics 12, no. 16: 2548. https://doi.org/10.3390/math12162548

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Morning Rundown: Israel launches huge military operation in West Bank, Harris and Walz’s hopes for Georgia, and what to know about the Paralympic Games

University of Idaho student killings one year later: Motive keeps mystery alive

The slayings of four University of Idaho students one year ago stunned the bucolic college town of Moscow, bedeviled its small police force and — because of the nature of the crime and weeks without a named suspect — spawned countless conspiracies from social media sleuths fixated with finding the killer.

The mystery of who fatally stabbed housemates Kaylee Goncalves, Madison Mogen and Xana Kernodle and Kernodle's boyfriend, Ethan Chapin, was apparently solved nearly seven weeks later with the arrest of a suspect .

But for some sleuths, even as suspect Bryan Kohberger awaits trial on four counts of first-degree murder , the conversation hasn't stopped.

"There is still so much we don't know," said Deb Aldrich-Bailey, who lives in Ohio and was drawn to the case because she has children in college. "Four innocent college kids just living their best lives were murdered, and for what? It's the brutality and the shock of it that makes you want to figure out why."

And so, Aldrich-Bailey logs on daily to the largest Facebook group devoted to the case, with more than 227,700 members. Theories over a motive are also dissected on popular Reddit pages and TikTok accounts where the hashtag #IdahoMurderMystery has more than 207.2 million views.

The "University of Idaho murders" Facebook group is one of nearly a dozen "true crime pages" run by administrators Alina Smith and Kristine Cameron — the others include the disappearance and death of travel vlogger Gabby Petito in 2021 and British girl Madeleine McCann , who went missing in 2007 — but it is by far their most popular. At its height, the group saw 32,000 posts in January, after police arrested Kohberger.

Bryan Kohberger

Even now, Smith said, there are about 2,000 people waiting to be accepted into the private group.

"Kristine didn't want to do a page at first. She thought, this is a college party gone wrong. Maybe somebody got pissed," Smith, of Dallas, said. "But I said, 'No way. There's going to be so much more to this.'"

Her instincts were right. And in those initial weeks before a suspect was apprehended, the group's members dug into the details from police statements, news reports and the social media pages of the victims.

Given how large the group had grown, Smith said, people within the Moscow community began sharing insights with her as well, prompting her to forward information to the FBI's tip line.

"Do we want to solve the case? That's everybody's dream," Smith said. "But our intention was to open up a platform for people to discuss."

And the questions, she added, have only grown.

A 'very complex' case

In the early morning of Nov. 13, 2022 , from 4 a.m. to 4:25 a.m., investigators say the four victims — Goncalves and Mogen, both 21, and Kernodle and Chapin, both 20 — were killed.

The three female students lived in a three-story apartment house off campus with two other female roommates, one of whose cellphones was used to call 911 just before noon on Nov. 13 requesting assistance for an "unconscious person." Authorities at the scene said they discovered the four victims stabbed multiple times with an "edged weapon," believed to be a large knife. No weapon was immediately found, and the other two roommates were unharmed.

Initially, Moscow police said they did not believe there was an imminent danger to the community, although those at the University of Idaho, where about 11,500 students are enrolled, expressed fear and frustration in a town that hadn't seen a homicide — much less four — in several years.

Moscow police then had to  walk back  comments that there was no threat to the largely rural city of almost 26,000 residents.

"We do not have a suspect at this time, and that individual is still out there," Moscow Police Chief James Fry said at a news conference.

Information from police came in spurts, including that the victims were  most likely asleep  when they were slain, and some of them had defensive wounds. There was also no sign of sexual assault.

Fry described the investigation as a "very complex and extensive case," made more complicated because the crime scene was a house where friends would throw parties and people would routinely come and go, theoretically leaving DNA everywhere . Police conducted more than 300 interviews and received 19,000 tips.

The announcement in early December that a car , a white Hyundai Elantra with unknown license plates, may be linked to the scene only ramped up the online conversations among amateur detectives determined to piece together the puzzle.

Then, on Dec. 30, police said they had made an arrest. Kohberger, who turns 29 next week, was a doctoral student at Washington State University at the time of the killings, but was apprehended at his family's home in northeastern Pennsylvania.

According to an affidavit, Kohberger was linked to the scene through  male DNA discovered on a knife sheath  left at the apartment house. The sheath was found facedown on a bed next to the bodies of Mogen and Goncalves, and partially under Mogen's body and a comforter, investigators said.

Genetic genealogy was used to build a profile for a familial source for the DNA, and that eventually led investigators to Kohberger. Police said they also collected garbage from outside the Kohberger family's home in Pennsylvania and determined that DNA from the trash was a high-probability match for the father of the person whose DNA was found on the knife sheath in Moscow. Then, following Kohberger's arrest, police said they took a cheek swab from him that confirmed a statistical match.

In addition, investigators said, they tracked Kohberger in the area of the apartment house through his cellphone use and surveillance that picked up a Hyundai Elantra that they believed he was driving.

More coverage of the Idaho slayings

  • Idaho college student killings: A summary and timeline
  • University of Idaho temporarily halts demolition of home where 4 students were killed
  • Traumatic shock : A surviving roommate of the Idaho slain students said she saw killer, according to affidavit
  • Kohberger's attorney alleges there is 'no connection' between him and Idaho student victims

A judge in May entered a not guilty plea on Kohberger's behalf on the four counts of murder and burglary. His defense attorneys have said they plan to corroborate that he was not at the home where the murders took place through expert witness testimony, but gave a curious response in an alibi-related court filing in August that "he has long had a habit of going for drives alone. Often he would go for drives at night. He did so late on November 12 and into November 13, 2022."

A trial that was expected to begin in October has been delayed without a new date as the prosecution expects to seek the death penalty , Kohberger's defense attempts to have the case thrown out and both sides argue over DNA evidence.

Kohberger has not spoken publicly, and a gag order issued in January bars lawyers, police and other officials from making statements in the case. Shortly after his arrest, Kohberger's family, in a statement, pledged to "let the legal process unfold, and as a family, we will love and support our son and brother."

Unanswered questions

Once a suspect was identified, internet snoops went to work trying to track down any connection between Kohberger and the victims, as police first said they believed it was a "targeted attack."

Prosecutors have not said how Kohberger would have known the victims, although he was studying for his Ph.D. and living in Pullman, Washington, about 10 miles west of the Idaho border and Moscow.

Kohberger's studies in criminology, including an apparent research project on people who commit crimes, drew fascination from online sleuths and even celebrity authors who questioned whether a motive was as simple as attempting to commit the "perfect crime."

Goncalves' parents, Steve and Kristi, have said that in the moments after learning of Kohberger's identity, they found an Instagram account that they believe belonged to him and that had been following their daughter and Mogen. The account has since been removed, and NBC News has not verified such a connection.

The Goncalves' told NBC News last week that they are supportive of law enforcement shoring up evidence, including the FBI returning to the apartment house to help recreate a model for the trial.

A year after the slayings, "you just miss them, and the longer they're gone, the more you miss them and the more you realize how badly you really have been robbed," Kristi Goncalves said.

But those following the case since the beginning say the families deserve more answers, including knowing exactly what occurred and why.

Jennifer Coffindaffer, who worked 25 years as an FBI agent and investigated violent crimes, said questions surround what happened to the large knife used in the attacks and to the clothing the killer wore during such a violent act, presumably leaving other DNA evidence beyond what was retrieved on the knife sheath.

Kristin Noll-Marsh, another member of the "Idaho murders" Facebook group, said there has been much speculation over the actions of one of the surviving roommates who later told investigators that she nearly came face-to-face with a masked man who was leaving the house that night, causing her to go into a " frozen shock phase ."

The court affidavit describing the encounter only tells part of the narrative, Noll-Marsh said, and with people online "throwing around baseless speculation and calling it 'theory,'" she is among the sleuths who try to debunk rumors.

On Monday, Smith's "Idaho murders" Facebook page was filled with tributes to Goncalves, Mogen, Kernodle and Chapin.

A vigil is planned at the University of Idaho in their honor, and the school is encouraging the community to turn on their porch lights in solidarity.

"This is all about the victims," Smith said. "For some people, they think this is a little mystery. It's fun to solve. But I think about the families and how they'll have to sit at the Thanksgiving Day table again without their loved ones."

mhd 6 solved assignment 2021 22

Erik Ortiz is a senior reporter for NBC News Digital focusing on racial injustice and social inequality.

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