Information
- Author Services
Initiatives
You are accessing a machine-readable page. In order to be human-readable, please install an RSS reader.
All articles published by MDPI are made immediately available worldwide under an open access license. No special permission is required to reuse all or part of the article published by MDPI, including figures and tables. For articles published under an open access Creative Common CC BY license, any part of the article may be reused without permission provided that the original article is clearly cited. For more information, please refer to https://www.mdpi.com/openaccess .
Feature papers represent the most advanced research with significant potential for high impact in the field. A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications.
Feature papers are submitted upon individual invitation or recommendation by the scientific editors and must receive positive feedback from the reviewers.
Editor’s Choice articles are based on recommendations by the scientific editors of MDPI journals from around the world. Editors select a small number of articles recently published in the journal that they believe will be particularly interesting to readers, or important in the respective research area. The aim is to provide a snapshot of some of the most exciting work published in the various research areas of the journal.
Original Submission Date Received: .
- Active Journals
- Find a Journal
- Proceedings Series
- For Authors
- For Reviewers
- For Editors
- For Librarians
- For Publishers
- For Societies
- For Conference Organizers
- Open Access Policy
- Institutional Open Access Program
- Special Issues Guidelines
- Editorial Process
- Research and Publication Ethics
- Article Processing Charges
- Testimonials
- Preprints.org
- SciProfiles
- Encyclopedia
Article Menu
- Subscribe SciFeed
- Recommended Articles
- Google Scholar
- on Google Scholar
- Table of Contents
Find support for a specific problem in the support section of our website.
Please let us know what you think of our products and services.
Visit our dedicated information section to learn more about MDPI.
JSmol Viewer
The due date assignment scheduling problem with delivery times and truncated sum-of-processing-times-based learning effect.
1. Introduction
2. literature review, 3. notation and problem statement, 4. research method, 4.1. the problem 1 | p j [ k ] a = p j max { ( 1 + ∑ i = 1 k − 1 p [ i ] ) a , β } , q p s d , c o n | ∑ j = 1 n ( α u j + δ v j + η d ).
, , , , a, r, , n The optimal sequence, d All jobs were sorted by increasing processing time, i.e., . When h was from 0 to n, the objective function values were calculated, respectively. The optimal position of h was determined by the smallest value of the objective function, and the optimal sequence was arrangedn an ascending order of normal processing time. |
4.2. The Problem 1 | p j [ k ] A = p j max { ( 1 + ∑ i = 1 k − 1 p [ i ] ) a , β } , q p s d , S L K | ∑ j = 1 n ( α U j + δ V j + η q )
, , , , a, r, , n The optimal sequence, q All jobs were sorted by the increasing processing time, i.e., . When h was from 0 to n, the objective function values were calculated, respectively. The optimal position of h was determines by the smallest value of the objective function, and the optimal sequence was arranged in an ascending order of the normal processing time. |
4.3. The Problem 1 | p j [ k ] A = p j max { ( 1 + ∑ i = 1 k − 1 p [ i ] ) a , β } , q p s d , D I F | ∑ j = 1 n ( α U j + δ V j + η d j )
, , , , a, r, , n The optimal sequence, The optimal sequence was sequenced by an increasing order of normal processing time, i.e., . The due date was determined by the relationship between and . |
5. Discussion of Results
5.1. numerical discussion, 5.2. extension, 6. conclusions, author contributions, data availability statement, acknowledgments, conflicts of interest.
- Cheng, T.C.E.; Cheng, S.R.; Wu, W.H.; Hsu, P.H.; Wu, C.C. A two-agent single-machine scheduling problem with truncated sum-of-processing-times-based learning considerations. Comput. Ind. Eng. 2011 , 60 , 534–541. [ Google Scholar ] [ CrossRef ]
- Li, L.; Yang, S.W.; Wu, Y.B.; Huo, Y.Z.; Ji, P. Single machine scheduling jobs with a truncated sum-of-processing-times-based learning effect. Int. J. Adv. Manuf. Technol. 2013 , 67 , 261–267. [ Google Scholar ] [ CrossRef ]
- Cheng, T.C.E.; Wu, C.C.; Chen, J.C.; Wu, W.H.; Cheng, S.R. Two-machine flowshop scheduling with a truncated learning function to minimize the makespan. Int. J. Prod. Econ. 2013 , 141 , 79–86. [ Google Scholar ] [ CrossRef ]
- Wu, Y.B.; Wang, J.J. Single-machine scheduling with truncated sum-of-processing-times-based learning effect including proportional delivery times. Neural Comput. Appl. 2016 , 27 , 937–943. [ Google Scholar ] [ CrossRef ]
- Wang, J.B.; Liu, M.; Yin, N. Scheduling jobs with controllable processing time, truncated job-dependent learning and deterioration effects. J. Ind. Manag. Optim. 2017 , 13 , 1025. [ Google Scholar ] [ CrossRef ] [ Green Version ]
- Wu, C.C.; Wang, D.J.; Cheng, S.R.; Chung, I.H.; Lin, W.C. A two-stage three-machine assembly scheduling problem with a position-based learning effect. Int. J. Prod. Res. 2018 , 56 , 3064–3079. [ Google Scholar ] [ CrossRef ]
- Yin, N. Single machine due window assignment resource allocation scheduling with job-dependent learning effect. J. Appl. Math. Comput. 2018 , 56 , 715–725. [ Google Scholar ] [ CrossRef ]
- Zhang, X. Single machine and flowshop scheduling problems with sum-of-processing time based learning phenomenon. J. Ind. Manag. Optim. 2020 , 16 , 231. [ Google Scholar ] [ CrossRef ] [ Green Version ]
- Qian, J.; Lin, H.; Kong, Y.; Wang, Y. Tri-criteria single machine scheduling model with release times and learning factor. Appl. Math. Comput. 2020 , 387 , 124543. [ Google Scholar ] [ CrossRef ]
- Zou, Y.; Wang, D.; Lin, W.C.; Chen, J.Y.; Yu, P.W.; Wu, W.H.; Chao, Y.P.; Wu, C.C. Two-stage three-machine assembly scheduling problem with sum-of-processing-times-based learning effect. Soft Comput. 2020 , 24 , 5445–5462. [ Google Scholar ] [ CrossRef ]
- Wu, C.C.; Zhang, X.; Azzouz, A.; Shen, W.L.; Cheng, S.R.; Hsu, P.H.; Lin, W.C. Metaheuristics for two-stage flow-shop assembly problem with a truncation learning function. Eng. Optim. 2021 , 53 , 843–866. [ Google Scholar ] [ CrossRef ]
- Yang, S.J.; Hsu, C.J.; Chang, T.R.; Yang, D.L. Single-machine scheduling with past-sequence-dependent delivery times and learning effect. J. Chin. Inst. Ind. Eng. 2011 , 28 , 247–255. [ Google Scholar ] [ CrossRef ]
- Yang, S.J.; Yang, D.L. Single-machine scheduling problems with past-sequence-dependent delivery times and position-dependent processing times. J. Oper. Res. Soc. 2012 , 63 , 1508–1515. [ Google Scholar ] [ CrossRef ]
- Liu, M.; Wang, S.; Chu, C. Scheduling deteriorating jobs with past-sequence-dependent delivery times. Int. J. Prod. Econ. 2013 , 144 , 418–421. [ Google Scholar ] [ CrossRef ]
- Zhao, C.; Tang, H. Single machine scheduling problems with general position-dependent processing times and past-sequence-dependent delivery times. J. Appl. Math. Comput. 2014 , 45 , 259–274. [ Google Scholar ] [ CrossRef ]
- Qian, J.; Han, H. The due date assignment scheduling problem with the deteriorating jobs and delivery time. J. Appl. Math. Comput. 2021 , 1–14, in press. [ Google Scholar ] [ CrossRef ]
- Yin, Y.; Liu, M.; Cheng, T.C.E.; Wu, C.C.; Cheng, S.R. Four single-machine scheduling problems involving due date determination decisions. Inf. Sci. 2013 , 251 , 164–181. [ Google Scholar ] [ CrossRef ]
- Lu, Y.Y.; Li, G.; Wang, Y.B.; Ji, P. Optimal due-date assignment problem with learning effect and resource-dependent processing times. Optim. Lett. 2014 , 8 , 113–127. [ Google Scholar ] [ CrossRef ]
- Li, G.; Luo, M.L.; Zhang, W.J.; Wang, X.Y. Single-machine due-window assignment scheduling based on common flow allowance, learning effect and resource allocation. Int. J. Prod. Res. 2015 , 53 , 1228–1241. [ Google Scholar ] [ CrossRef ]
- Sun, L.H.; Cui, K.; Chen, J.H.; Wang, J. Due date assignment and convex resource allocation scheduling with variable job processing times. Int. J. Prod. Res. 2016 , 54 , 3551–3560. [ Google Scholar ] [ CrossRef ]
- Geng, X.N.; Wang, J.B.; Bai, D. Common due date assignment scheduling for a no-wait flowshop with convex resource allocation and learning effect. Eng. Optim. 2019 , 51 , 1301–1323. [ Google Scholar ] [ CrossRef ]
- Liu, W.; Jiang, C. Due-date assignment scheduling involving job-dependent learning effects and convex resource allocation. Eng. Optim. 2020 , 52 , 74–89. [ Google Scholar ] [ CrossRef ]
- Tian, Y. Single–Machine Due-Window Assignment Scheduling with Resource Allocation and Generalized Earliness/Tardiness Penalties. Asia-Pac. J. Oper. Res. 2021 , in press. [ Google Scholar ] [ CrossRef ]
- Wang, W. Single-machine due-date assignment scheduling with generalized earliness-tardiness penalties including proportional setup times. J. Appl. Math. Comput. 2021 , in press. [ Google Scholar ] [ CrossRef ]
- Lann, A.; Mosheiov, G. Single machine scheduling to minimize the number of early and tardy jobs. Comput. Oper. Res. 1996 , 23 , 769–781. [ Google Scholar ] [ CrossRef ]
- Yuan, J. Unary NP-hardness of minimizing the number of tardy jobs with deadlines. J. Sched. 2017 , 20 , 211–218. [ Google Scholar ] [ CrossRef ]
- Hermelin, D.; Karhi, S.; Pinedo, M.; Shabtay, D. New algorithms for minimizing the weighted number of tardy jobs on a single machine. Ann. Oper. Res. 2021 , 298 , 271–287. [ Google Scholar ] [ CrossRef ] [ Green Version ]
- Graham, R.L.; Lawler, E.L.; Lenstra, J.K.; Kan, A.H.G.R. Optimization and approximation in deterministic sequencing and scheduling: A survey. Ann. Discret. Math. 1979 , 5 , 287–326. [ Google Scholar ]
Click here to enlarge figure
Symbol | Meaning |
---|---|
n | the number of jobs |
the normal processing time of | |
the normal processing time for the jth position | |
the actual processing time of | |
the waiting time of | |
the completion time of | |
the makespan | |
the delivery time of | |
d | the due date |
a | the learning index, |
r | the delivery rate, |
the truncation parameter, | |
the weights | |
the job arranged at the jth position | |
CON | the common due date |
SLK | the slack due date |
DIF | the different due date |
Job | |||||
---|---|---|---|---|---|
4 | 3 | 5 | 2 | 1 |
Value | 1 | 1 | 1.5 | 2 | 2.5 |
Value | 0 | 1 | 2 | 3.5 | 5.5 |
Value | 0 | 0.1 | 0.2 | 0.35 | 0.55 |
Value | 1 | 2.1 | 3.7 | 5.85 | 8.55 |
Value | 1 | 1 | 1.5 | 2 | 2.5 |
Value | 2.1 | 2.1 | 2.6 | 3.1 | 3.6 |
Value | 3.2 | 3.2 | 3.7 | 4.2 | 4.7 |
Value | 4.85 | 4.85 | 5.35 | 5.85 | 6.35 |
Value | 7.05 | 7.05 | 7.55 | 8.05 | 8.55 |
Value | 5 | 9.8 | 9.49 | 7.21 | 3.87 |
Value | 0 | 5 | 14.8 | 24.29 | 31.5 |
Value | 0 | 0.5 | 1.48 | 2.429 | 3.15 |
Value | 5 | 15.3 | 25.76 | 33.929 | 38.52 |
MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |
Share and Cite
Qian, J.; Zhan, Y. The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect. Mathematics 2021 , 9 , 3085. https://doi.org/10.3390/math9233085
Qian J, Zhan Y. The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect. Mathematics . 2021; 9(23):3085. https://doi.org/10.3390/math9233085
Qian, Jin, and Yu Zhan. 2021. "The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect" Mathematics 9, no. 23: 3085. https://doi.org/10.3390/math9233085
Article Metrics
Article access statistics, further information, mdpi initiatives, follow mdpi.
Subscribe to receive issue release notifications and newsletters from MDPI journals
Login to your account
Change password, your password must have 8 characters or more and contain 3 of the following:.
- a lower case character,
- an upper case character,
- a special character
Password Changed Successfully
Your password has been changed
Create a new account
Can't sign in? Forgot your password?
Enter your email address below and we will send you the reset instructions
If the address matches an existing account you will receive an email with instructions to reset your password
Request Username
Can't sign in? Forgot your username?
Enter your email address below and we will send you your username
If the address matches an existing account you will receive an email with instructions to retrieve your username
- This Journal
- Institutional Access
Cookies Notification
Our site uses javascript to enchance its usability. you can disable your ad blocker or whitelist our website www.worldscientific.com to view the full content., select your blocker:, adblock plus instructions.
- Click the AdBlock Plus icon in the extension bar
- Click the blue power button
- Click refresh
Adblock Instructions
- Click the AdBlock icon
- Click "Don't run on pages on this site"
uBlock Origin Instructions
- Click on the uBlock Origin icon in the extension bar
- Click on the big, blue power button
- Refresh the web page
uBlock Instructions
- Click on the uBlock icon in the extension bar
Adguard Instructions
- Click on the Adguard icon in the extension bar
- Click on the toggle next to the "Protection on this website" text
Brave Instructions
- Click on the orange lion icon to the right of the address bar
- Click the toggle on the top right, shifting from "Up" to "Down
Adremover Instructions
- Click on the AdRemover icon in the extension bar
- Click the "Don’t run on pages on this domain" button
- Click "Exclude"
Adblock Genesis Instructions
- Click on the Adblock Genesis icon in the extension bar
- Click on the button that says "Whitelist Website"
Super Adblocker Instructions
- Click on the Super Adblocker icon in the extension bar
- Click on the "Don’t run on pages on this domain" button
- Click the "Exclude" button on the pop-up
Ultrablock Instructions
- Click on the UltraBlock icon in the extension bar
- Click on the "Disable UltraBlock for ‘domain name here’" button
Ad Aware Instructions
- Click on the AdAware icon in the extension bar
- Click on the large orange power button
Ghostery Instructions
- Click on the Ghostery icon in the extension bar
- Click on the "Trust Site" button
Firefox Tracking Protection Instructions
- Click on the shield icon on the left side of the address bar
- Click on the toggle that says "Enhanced Tracking protection is ON for this site"
Duck Duck Go Instructions
- Click on the DuckDuckGo icon in the extension bar
- Click on the toggle next to the words "Site Privacy Protection"
Privacy Badger Instructions
- Click on the Privacy Badger icon in the extension bar
- Click on the button that says "Disable Privacy Badger for this site"
Disconnect Instructions
- Click on the Disconnect icon in the extension bar
- Click the button that says "Whitelist Site"
Opera Instructions
- Click on the blue shield icon on the right side of the address bar
- Click the toggle next to "Ads are blocked on this site"
System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
A single machine group scheduling problem with due date assignment and position-dependent costs.
- Ying Chen ,
- Guiqing Zhang , and
- Yongxi Cheng
School of Management, Xi’an Jiaotong University, Xi’an 710049, P. R. China
E-mail Address: [email protected]
Search for more papers by this author
School of Economics and Management, Xi’an University of Technology, Xi’an 710054, P. R. China
School of Economics and Finance, Xi’an Jiaotong University, Xi’an 710049, P. R. China
Corresponding author.
State Key Lab for Manufacturing Systems Engineering, Xi’an 710049, P. R. China
In this paper, we study a single machine scheduling problem with due date assignment under a group technology environment. The due dates of jobs are assignable according to the following three methods: the common (CON) due date assignment, the slack (SLK) due date assignment, and the different (DIF) due date assignment. Our objective is to determine a group sequence and job sequences within all groups, together with a due date assignment, to minimize a total cost function including earliness, tardiness, due date assignment and flow time costs, in which all unit costs are different and position-dependent. We present a unified O ( n log n ) time algorithm to solve the problem for all the three due date assignment methods.
- Single machine scheduling
- group technology
- due date assignment
- position-dependent costs
- Brucker, P ( 2001 ). Scheduling Algorithms . Berlin, Germany: Springer. Crossref , Google Scholar
- Chen, Y and Y Cheng ( 2021 ). Group scheduling and due date assignment without restriction on a single machine . Advances in Production Management Systems , 632 , 250–257. Google Scholar
- Choi, B and M Park ( 2021 ). Single-machine scheduling with periodic due dates to minimize the total earliness and tardy penalty . Journal of Combinatorial Optimization , 41 , 781–793. Crossref , Web of Science , Google Scholar
- Graham, RL, EL Lawler, JK Lenstra and AHGR Kan ( 1979 ). Optimization and approximation in deterministic sequencing and scheduling: A survey . Annals of Discrete Mathematics , 5 , 287–326. Crossref , Google Scholar
- Ham, I, K Hitomi and T Yoshida ( 1985 ). Group Technology: Applications to Production Management . Boston: Kluwer-Nijhoff. Crossref , Google Scholar
- Hardy, GH, JE Littlewood and G Polya ( 1967 ). Inequalities . London: Cambridge University Press. Google Scholar
- Keshavarz, T, M Savelsbergh and N Salmasi ( 2015 ). A branch-and-bound algorithm for the single machine sequence-dependent group scheduling problem with earliness and tardiness penalties . Applied Mathematical Modelling , 39 (20), 6410–6424. Crossref , Web of Science , Google Scholar
- Li, S, CT Ng and J Yuan ( 2011 ). Group scheduling and due date assignment on a single machine . International Journal of Production Economics , 130 (2), 230–235. Crossref , Web of Science , Google Scholar
- Liu, W, X Hu and X Wang ( 2017 ). Single machine scheduling with slack due dates assignment . Engineering Optimization , 49 (4), 709–717. Crossref , Web of Science , Google Scholar
- Lv, D, S Luo, J Xue, J Xu and J Wang ( 2021 ). A note on single machine common flow allowance group scheduling with learning effect and resource allocation . Computers & Industrial Engineering , 151 , 106941. Crossref , Web of Science , Google Scholar
- Neufeld, J, J Gupta and U Buscher ( 2016 ). A comprehensive review of flowshop group scheduling literature . Computers & Operations Research , 70 , 56–74. Crossref , Web of Science , Google Scholar
- Panwalkar, SS, ML Smith and A Seidmann ( 1982 ). Common due date assignment to minimize total penalty for the one machine scheduling problem . Operations Research , 30 (2), 391–399. Crossref , Web of Science , Google Scholar
- Seidmann, A, SS Panwalkar and ML Smith ( 1981 ). Optimal assignment of due-dates for a single processor scheduling problem . International Journal of Production Research , 19 (4), 393–399. Crossref , Web of Science , Google Scholar
- Shabtay, D ( 2016 ). Optimal restricted due date assignment in scheduling . European Journal of Operational Research , 252 (1), 79–89. Crossref , Web of Science , Google Scholar
- Shabtay, D et al. ( 2010 ). Optimal due date assignment and resource allocation in a group technology scheduling environment . Computers & Operations Research , 37 (12), 2218–2228. Crossref , Web of Science , Google Scholar
- Sun, X, XN Geng and T Liu ( 2020 ). Due-window assignment scheduling in the proportionate flow shop setting . Annals of Operations Research , 292 , 113–131. Crossref , Web of Science , Google Scholar
- Wang, L, M Liu, J Wang, Y Lu and W Liu ( 2021 ). Optimization for due-date assignment single-machine scheduling under group technology . Complexity , 2021 , 1–9. Web of Science , Google Scholar
- Wang, D, Y Yin, J Xu, W Wu, S Cheng and C Wu ( 2015 ). Some due date determination scheduling problems with two agents on a single machine . International Journal of Production Economics , 168 , 81–90. Crossref , Web of Science , Google Scholar
- Yang, L, Y Zhao and X Ma ( 2019 ). Group maintenance scheduling for two-component systems with failure interaction . Applied Mathematical Modelling , 71 , 118–137. Crossref , Web of Science , Google Scholar
- Yin, N, L Kang and X Wang ( 2014 ). Single machine group scheduling with processing times dependent on position, starting time and allotted resource . Applied Mathematical Modelling , 38 (19–20), 4602–4613. Crossref , Web of Science , Google Scholar
Remember to check out the |
---|
Be inspired by these today. |
- Optimal policies for minimizing total job completion times and deviations from common due dates in unrelated parallel machine scheduling Oğuzhan Ahmet Arık 1 March 2024 | OPSEARCH, Vol. 26
Recommended
Received 17 August 2022 Revised 16 December 2022 Accepted 13 January 2023 Published: 18 March 2023
Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser .
Enter the email address you signed up with and we'll email you a reset link.
- We're Hiring!
- Help Center
Two due date assignment problems in scheduling a single machine
2006, Operations Research Letters
Related Papers
Annals of Operations Research
Dvir Shabtay
We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomial- time algorithm to find the optimal job sequence, due date values and resource allocation minimizing an objective function which includes earliness, tardiness, due date assignment, makespan and total resource consumption costs.
Computers & Operations Research
European Journal of Operational Research
Vitaly Strusevich
International Journal of Production Economics
T. C. E. Cheng
Journal of Industrial and Management Optimization
HUYNH TUONG NGUYEN
Naval Research Logistics
Candace Yano
Charles Wells
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.
RELATED TOPICS
- We're Hiring!
- Help Center
- Find new research papers in:
- Health Sciences
- Earth Sciences
- Cognitive Science
- Mathematics
- Computer Science
- Academia ©2024
Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs
New citation alert added.
This alert has been successfully added and will be sent to:
You will be notified whenever a record that you have chosen has been cited.
To manage your alert preferences, click on the button below.
New Citation Alert!
Please log in to your account
Information & Contributors
Bibliometrics & citations, view options, recommendations, common due date assignment and scheduling with a rate-modifying activity to minimize the due date, earliness, tardiness, holding, and batch delivery cost.
e consider a single-machine batch delivery scheduling and common due date assignment problem. In addition to making decisions on sequencing the jobs, determining the common due date, and scheduling job delivery, we consider the option of performing a ...
Due date assignment and single machine scheduling with deteriorating jobs to minimize the weighted number of tardy jobs
In this paper, we explore a single-machine scheduling problem in which the processing time of a job is a linear increasing function of its starting time. The objective is to determine the optimal due date and schedule simultaneously to minimize a cost ...
Single machine scheduling with past-sequence-dependent setup times and deteriorating jobs
This paper considers single machine scheduling problems with setup times and deteriorating jobs. The setup times are proportional to the length of the already processed jobs, that is, the setup times are past-sequence-dependent (p-s-d). It is assumed ...
Information
Published in.
Springer-Verlag
Berlin, Heidelberg
Publication History
Author tags.
- Combinatorial optimization
- Delivery time
- Due date assignment
- Research-article
Contributors
Other metrics, bibliometrics, article metrics.
- 0 Total Citations
- 0 Total Downloads
- Downloads (Last 12 months) 0
- Downloads (Last 6 weeks) 0
View options
Login options.
Check if you have access through your login credentials or your institution to get full access on this article.
Full Access
Share this publication link.
Copying failed.
Share on social media
Affiliations, export citations.
- Please download or close your previous search result export first before starting a new bulk export. Preview is not available. By clicking download, a status dialog will open to start the export process. The process may take a few minutes but once it finishes a file will be downloadable from your browser. You may continue to browse the DL while the export process is in progress. Download
- Download citation
- Copy citation
We are preparing your search results for download ...
We will inform you here when the file is ready.
Your file of search results citations is now ready.
Your search export query has expired. Please try again.
Single-machine due date assignment problem with deteriorating jobs and resource-dependent processing times
- Original Article
- Published: 07 February 2013
- Volume 67 , pages 255–260, ( 2013 )
Cite this article
- Xiao-Yuan Wang 1 &
- Jian-Jun Wang 2
314 Accesses
29 Citations
Explore all metrics
We study a single-machine earliness–tardiness scheduling problem with due date assignment, in which the processing time of a job is a function of its starting time and its resource allocation. We analyze the problem with two different processing time functions and three different due date assignment methods. The goal is to minimize an integrated objective function, which includes earliness, tardiness, due date assignment, and total resource consumption costs. For each combination of due date assignment method and processing time function, we provide a polynomial-time algorithm to find the optimal job sequence, due date values, and resource allocations.
This is a preview of subscription content, log in via an institution to check access.
Access this article
Subscribe and save.
- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime
Price includes VAT (Russian Federation)
Instant access to the full article PDF.
Rent this article via DeepDyve
Institutional subscriptions
Similar content being viewed by others
Due date assignment single-machine scheduling with delivery times, position-dependent weights and deteriorating jobs
The due date assignment scheduling problem with the deteriorating jobs and delivery time
Single-machine due-date assignment scheduling with generalized earliness-tardiness penalties including proportional setup times.
Gawiejnowicz S (2008) Time-dependent scheduling. Springer, New York
MATH Google Scholar
Huang X, Wang M-Z (2011) Parallel identical machines scheduling with deteriorating jobs and total absolute differences penalties. Appl Math Model 35:1349–1353
Article MathSciNet MATH Google Scholar
Wang X-R, Huang X, Wang J-B (2011) Single-machine scheduling with linear decreasing deterioration to minimize earliness penalties. Appl Math Model 35:3509–3515
Wang J-B, Wang J-J, Ji P (2011) Scheduling jobs with chain precedence constraints and deteriorating Jobs. J Oper Res Soc 62:1765–1770
Article Google Scholar
Zhao C-L, Tang H-Y (2011) A note on two-machine no-wait flow shop scheduling with deteriorating jobs and machine availability constraints. Optim Lett 5:183–190
Huang X, Wang M-Z, Wang J-B (2011) Single machine group scheduling with both learning effects and deteriorating jobs. Comput Ind Eng 60:750–754
Ozturkoglu Y, Bulfin RL (2011) A unique integer mathematical model for scheduling deteriorating jobs with rate-modifying activities on a single machine. Int J Adv Manuf Technol 57:753–762
Lai P-J, Lee W-C, Chen H-H (2011) Scheduling with deteriorating jobs and past-sequence-dependent setup times. Int J Adv Manuf Technol 54:737–741
Wang L-Y, Feng E-M (2012) A note on single-machine scheduling problems with the effects of deterioration and learning. Int J Adv Manuf Technol 59:539–545
Shen P, Wei C-M, Wu Y-B (2012) A note on deteriorating jobs and learning effects on a single-machine scheduling with past-sequence-dependent setup times. Int J Adv Manuf Technol 58:723–725
Wei C-M, Wang J-B, Ji P (2012) Single-machine scheduling with time-and-resource-dependent processing times. Appl Math Model 36:792–798
Wang J-B, Wang M-Z (2012) Single-machine scheduling with nonlinear deterioration. Optim Lett 6:87–98
Wang J-B, Huang X, Wu Y-B, Ji P (2012) Group scheduling with independent setup times, ready times, and deteriorating job processing times. Int J Adv Manuf Technol 60:643–649
Sun L-H, Sun L-Y, Wang M-Z, Wang J-B (2012) Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines. Int J Prod Econ 138:195–200
Bai J, Li Z-R, Huang X (2012) Single-machine group scheduling with general deterioration and learning effects. Appl Math Model 36:1267–1274
Wang J-B, Wang M-Z, Ji P (2012) Single machine total completion time minimization scheduling with a time-dependent learning effect and deteriorating jobs. Int J Syst Sci 43:861–868
Article MathSciNet Google Scholar
Huang X, Wang M-Z, Ji P (2012) Parallel machines scheduling with deteriorating and learning effects. Optim Lett. doi: 10.1007/s11590-012-0490-8
Google Scholar
Wang J-B, Ji P, Cheng TCE, Wang D (2012) Minimizing makespan in a two-machine flow shop with effects of deterioration and learning. Optim Lett 6:1393–1409
Wang X-R, Wang J-J (2012) Single-machine scheduling with convex resource dependent processing times and deteriorating jobs. Appl Math Model. doi: 10.1016/j.apm.2012.05.025
Lee H-T, Yang D-L, Yang S-J (2012) Multi-machine scheduling with deterioration effects and maintenance activities for minimizing the total earliness and tardiness costs. Int J Adv Manuf Technol. doi: 10.1007/s00170-012-4348-0
Shabtay D, Steiner G (2007) A survey of scheduling with controllable processing times. Discret Appl Math 155:1643–1666
Wang J-B, Xia Z-Q (2007) Single machine scheduling problems with controllable processing times and total absolute differences penalties. Eur J Oper Res 177:638–645
Article MATH Google Scholar
Shabtay D, Steiner G (2008) The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times. Ann Oper Res 159:25–40
Tseng C-T, Liao C-T, Huang K-L (2009) Minimizing total tardiness on a single machine with controllable processing times. Comput Oper Res 36:1852–1858
Wang D, Wang M-Z, Wang J-B (2010) Single-machine scheduling with learning effect and resource-dependent processing times. Comput Ind Eng 59:458-462
Koulamas C, Gupta S, Kyparisis GJ (2010) A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times. Eur J Oper Res 205:479–482
Leyvand Y, Shabtay D, Steiner G (2010) A unified approach for scheduling with convex resource consumption functions using positional penalties. Eur J Oper Res 206:301–312
Zhu Z, Sun L, Chu F, Liu M (2011) Single-machine group scheduling with resource allocation and learning effect. Comput Ind Eng 60:148-157
Yin N, Wang X-Y (2011) Single-machine scheduling with controllable processing times and learning effect. Int J Adv Manuf Technol 54:743–748
Wang J-B, Wang M-Z (2012) Single-machine scheduling to minimize total convex resource consumption with a constraint on total weighted flow time. Comput Oper Res 39:492–497
Lu Y-Y, Li G, Wu Y-B, Ji P (2012) Optimal due-date assignment problem with learning effect and resource-dependent processing times. Optim Lett. doi: 10.1007/s11590-012-0467-7
Gordon VS, Proth JM, Chu CB (2002) A survey of the state-of-the-art of common due date assignment and scheduling research. Eur J Oper Res 139:1–25
Panwalker SS, Smith ML, Seidmann A (1982) Common due-date assignment to minimize total penalty for the one machine scheduling problem. Oper Res 30:391–399
Adamopoulos GI, Pappis CP (1996) Single machine scheduling with flow allowances. J Oper Res Soc 47:1280–1285
Seidmann A, Panwalkar SS, Smith ML (1981) Optimal assignment of due dates for a single processor scheduling problem. Int J Prod Res 19:393–399
Hardy GH, Littlewood JE, Polya G (1967) Inequalities. Cambridge University Press, Cambridge
Download references
Author information
Authors and affiliations.
School of Science, Shenyang Aerospace University, Shenyang, 110136, China
Xiao-Yuan Wang
Faculty of Management and Economics, Dalian University of Technology, Dalian, 116024, China
Jian-Jun Wang
You can also search for this author in PubMed Google Scholar
Corresponding author
Correspondence to Xiao-Yuan Wang .
Rights and permissions
Reprints and permissions
About this article
Wang, XY., Wang, JJ. Single-machine due date assignment problem with deteriorating jobs and resource-dependent processing times. Int J Adv Manuf Technol 67 , 255–260 (2013). https://doi.org/10.1007/s00170-013-4771-x
Download citation
Received : 15 June 2012
Accepted : 04 December 2012
Published : 07 February 2013
Issue Date : July 2013
DOI : https://doi.org/10.1007/s00170-013-4771-x
Share this article
Anyone you share the following link with will be able to read this content:
Sorry, a shareable link is not currently available for this article.
Provided by the Springer Nature SharedIt content-sharing initiative
- Single machine
- Resource allocation
- Due date assignment
- Deteriorating jobs
- Find a journal
- Publish with us
- Track your research
- DOI: 10.1155/2015/683269
- Corpus ID: 121001336
Scheduling Problems with Due Date Assignment
- Yunqiang Yin , Shuenn-Ren Cheng , +3 authors Chin-Chia Wu
- Published in Due Date-Related Scheduling… 12 April 2015
- Computer Science
- Due Date-Related Scheduling with Two Agents
One Citation
Results of parallel-machine scheduling model with maintenance activity considering time-dependent deterioration, delivery times, and resource allocation, related papers.
Showing 1 through 3 of 0 Related Papers
IMAGES
VIDEO
COMMENTS
This paper considers the single machine scheduling problem with three different due dates in which the actual processing time of the job is a simple deterioration function of the starting time. The goal is to minimize the total costs that contain the earliness, tardiness and due date. We prove that these problems are polynomial time solvable, and we propose the corresponding algorithms to ...
This paper considers a single-machine scheduling problem with past-sequence-dependent delivery times and the truncated sum-of-processing-times-based learning effect. The goal is to minimize the total costs that comprise the number of early jobs, the number of tardy jobs and due date. The due date is a decision variable. There will be corresponding penalties for jobs that are not completed on ...
The single machine common due date assignment problem where all jobs have the same earliness/tardiness weight has a polynomial-time algorithm to solve it optimally. Furthermore, some properties for the problem where the common due date is an input have been revealed by researchers in the literature. This paper proposes a heuristic algorithm for ...
The most popular setting within due-date assignment models is the well-known Common Due-Date (CON) model, in which all the jobs share the same due-date. For a survey paper on due-date assignment and scheduling problems with a common due-date, we refer the reader to Gordon, Proth, and Chu ( Citation 2002 ).
This paper studies the single-machine due-date assignment problem with past-sequence-dependent setup times (denoted by \(ST_{psd}\)).Under common due-date (denoted by CON-DD) assignment, slack due-date (denoted by SLK-DD) and different due-date (denoted by DIF-DD) assignment, the objective function is to minimize the linear weighted sum of earliness-tardiness, number of early and delayed jobs ...
This is also the case for the version of the problem with common due date assignment [7]. We will prove that the TWNTD problem is strongly NP-hard, but it is polynomially solvable in some special cases of interest. 3.1. Analysis and complexityWe analyze now some properties of the optimal due date assignment strategy for a given π.
In this paper, we consider a single-machine earliness-tardiness scheduling problem with due-date assignment, in which the processing time of a job is a function of its position in a sequence and its resource allocation. The due date assignment methods studied include the common due date, and the slack due date, which reflects equal waiting time allowance for the jobs. For each combination of ...
We study scheduling and due-date assignment problems with acceptable lead times. •. The machines settings are: parallel identical, uniform and unrelated machines. •. A common lead-time is assumed in the first set of problems. •. Then, job-dependent lead-times and identical earliness and tardiness costs are assumed. •.
The issue on scheduling problems with due date assignment inspires many researchers to address many interesting manuscripts most of which are discussed widely over single-machine, flowshop, or parallel settings. One manuscript addresses the topic on common due date assignment over a parallel-batching machine. H. Gong et al. consider the ...
ABSTRACT We study a common due-date assignment problem on two parallel uniform machines. The jobs are assumed to have identical processing times, and job-dependent and asymmetric earliness and tardi-ness unit costs. The scheduler may process only a subset of the jobs, i.e. the option of job-rejection is allowed.
In this note we study a classical due-date assignment problem with the option of scheduling a maintenance activity. Panwalker, Smith and Seidmann [3] addressed the following single machine scheduling and common due-date assignment problem: "…All jobs have a common (but unknown) due-date. The objective is to find an optimal value of the due ...
In this paper, we study a single machine scheduling problem with due date assignment under a group technology environment. The due dates of jobs are assignable according to the following three methods: the common (CON) due date assignment, the slack (SLK) due date assignment, and the different (DIF) due date assignment.
These two papers started extensive research in the area of due date assignment, with most papers focusing on the common due date assignment problem (e.g., [1,2,4,6,7,12,15]). A recent survey on common due date assignment problems was given in [9].
The due-date assignment problem arises when a firm offers a due-date to its customers during sale negotiations. The firm has to offer a price reduction if the offered due-date far ex ceeds the one expected by the customers. In many instances, due-dates are negotiated rather than simply dictated by the customers. The later the due-dates are ...
Panwalker, S.S., Smith, M.L. and Seidmann, A., Common due-date assignment to minimize total penalty for the one machine scheduling problem. Operations Research. v30. 391-399. ... e consider a single-machine batch delivery scheduling and common due date assignment problem. In addition to making decisions on sequencing the jobs, determining the ...
Qian J and Han H The due date assignment scheduling problem with the deteriorating jobs and delivery time J Appl Math Comput 2022 68 2173-2186. Crossref. Google Scholar [16] Sun X, Geng X-N, and Liu T Due-window assignment scheduling in the proportionate flow shop setting Ann Oper Res 2020 292 113-131.
This part is composed of five sections. In Sect. 4.1, we present the results concerning the problems where the due dates of jobs from both of the two agents are determined by the DIF, CON, or SLK due date assignment method. In Sects. 4.2 and 4.3, we present the results concerning the problems where the due dates of jobs from the first agent are determined by the DIF, CON, or SLK due date ...
1. Introduction. Due-date assignment problems are usually difficult due to the inherent trade-off between short due-dates, which clearly make the scheduler/producer more competitive, and late due-dates, which can be easily met. Within the wide range of due-date assignment problems, we find three major classes (see e.g. Gordon et al. [1]): (i) assigning a common due-date for all the jobs (also ...
For each due date assignment method, we consider two types of optimisation problem, namely a linear combination optimisation problem (minimising the total integrated cost of the two agents) and a constrained optimisation problem (minimising the objective of one agent, subject to an upper bound on the objective of the other agent).
A due-date assignment problem with learning effect and deteriorating jobs. Applied Mathematical Modelling, Vol. 34, No. 2. Scheduling and due date assignment to minimize earliness, tardiness, holding, due date assignment and batch delivery costs. International Journal of Production Economics, Vol. 123, No. 1.
Abstract. Given processing times of n jobs on a single machine with penalties for earliness and tardiness and penalties associated with assignment of due-dates, the objective is to select optimal due-dates and optimal sequence. Scheduling procedure for the solution of this problem is presented along with proof of optimality and illustrative numerical examples.
We study a common due-date assignment problem on two parallel uniform machines. The jobs are assumed to have identical processing times, and job-dependent and asymmetric earliness and tardiness unit costs. The scheduler may process only a subset of the jobs, i.e. the option of job-rejection is allowed. The objective function consists of three cost components: the total earliness-tardiness cost ...
We study a single-machine earliness-tardiness scheduling problem with due date assignment, in which the processing time of a job is a function of its starting time and its resource allocation. We analyze the problem with two different processing time functions and three different due date assignment methods. The goal is to minimize an integrated objective function, which includes earliness ...
This chapter is devoted to scheduling problems with due date assignment in the context of two-agent scheduling, where the due dates of jobs from either one or both of the two agents are decision variables, which are part of the decision process along with sequence decision. This chapter is devoted to scheduling problems with due date assignment in the context of two-agent scheduling. The main ...