IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i4p610-d1341180.html
   My bibliography  Save this article

Single Machine Scheduling Proportionally Deteriorating Jobs with Ready Times Subject to the Total Weighted Completion Time Minimization

Author

Listed:
  • Zheng-Guo Lv

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Li-Han Zhang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Xiao-Yuan Wang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

  • Ji-Bo Wang

    (School of Computer, Shenyang Aerospace University, Shenyang 110136, China)

Abstract

In this paper, we investigate a single machine scheduling problem with a proportional job deterioration. Under release times (dates) of jobs, the objective is to minimize the total weighted completion time. For the general condition, some dominance properties, a lower bound and an upper bound are given, then a branch-and-bound algorithm is proposed. In addition, some meta-heuristic algorithms (including the tabu search ( T S ), simulated annealing ( S A ) and heuristic ( N E H ) algorithms) are proposed. Finally, experimental results are provided to compare the branch-and-bound algorithm and another three algorithms, which indicate that the branch-and-bound algorithm can solve instances of 40 jobs within a reasonable time and that the N E H and S A are more accurate than the T S .

Suggested Citation

  • Zheng-Guo Lv & Li-Han Zhang & Xiao-Yuan Wang & Ji-Bo Wang, 2024. "Single Machine Scheduling Proportionally Deteriorating Jobs with Ready Times Subject to the Total Weighted Completion Time Minimization," Mathematics, MDPI, vol. 12(4), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:610-:d:1341180
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/4/610/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/4/610/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. F. P. Kelly, 1982. "A Remark on Search and Sequencing Problems," Mathematics of Operations Research, INFORMS, vol. 7(1), pages 154-157, February.
    2. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    3. Jin Qian & Yu Zhan, 2022. "The Due Window Assignment Problems with Deteriorating Job and Delivery Time," Mathematics, MDPI, vol. 10(10), pages 1-16, May.
    4. Qian, Jin & Lin, Hexiang & Kong, Yufeng & Wang, Yuansong, 2020. "Tri-criteria single machine scheduling model with release times and learning factor," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    5. Xinyu Sun & Tao Liu & Xin-Na Geng & Yang Hu & Jing-Xiao Xu, 2023. "Optimization of scheduling problems with deterioration effects and an optional maintenance activity," Journal of Scheduling, Springer, vol. 26(3), pages 251-266, June.
    6. Xinyu Sun & Xin-Na Geng, 2019. "Single-machine scheduling with deteriorating effects and machine maintenance," International Journal of Production Research, Taylor & Francis Journals, vol. 57(10), pages 3186-3199, May.
    7. Gawiejnowicz, Stanislaw, 2007. "Scheduling deteriorating jobs subject to job or machine availability constraints," European Journal of Operational Research, Elsevier, vol. 180(1), pages 472-478, July.
    8. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    9. Shangchia Liu & Wen-Hsiang Wu & Chao-Chung Kang & Win-Chin Lin & Zhenmin Cheng, 2015. "A Single-Machine Two-Agent Scheduling Problem by a Branch-and-Bound and Three Simulated Annealing Algorithms," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pedro Palominos & Mauricio Mazo & Guillermo Fuertes & Miguel Alfaro, 2025. "An Improved Marriage in Honey-Bee Optimization Algorithm for Minimizing Earliness/Tardiness Penalties in Single-Machine Scheduling with a Restrictive Common Due Date," Mathematics, MDPI, vol. 13(3), pages 1-29, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yurong Zhang & Xi Wang & Li-Han Zhang & Xue Jia & Ji-Bo Wang, 2024. "Different due-window assignment scheduling with deterioration effects," Journal of Combinatorial Optimization, Springer, vol. 48(5), pages 1-21, December.
    2. Zheng-Wei Sun & Dan-Yang Lv & Cai-Min Wei & Ji-Bo Wang, 2025. "Flow Shop Scheduling with Shortening Jobs for Makespan Minimization," Mathematics, MDPI, vol. 13(3), pages 1-23, January.
    3. Hongyu He & Yanzhi Zhao & Xiaojun Ma & Yuan-Yuan Lu & Na Ren & Ji-Bo Wang, 2023. "Study on Scheduling Problems with Learning Effects and Past Sequence Delivery Times," Mathematics, MDPI, vol. 11(19), pages 1-19, September.
    4. Rong-Rong Mao & Yi-Chun Wang & Dan-Yang Lv & Ji-Bo Wang & Yuan-Yuan Lu, 2023. "Delivery Times Scheduling with Deterioration Effects in Due Window Assignment Environments," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
    5. Li-Han Zhang & Dan-Yang Lv & Ji-Bo Wang, 2023. "Two-Agent Slack Due-Date Assignment Scheduling with Resource Allocations and Deteriorating Jobs," Mathematics, MDPI, vol. 11(12), pages 1-12, June.
    6. Xinyu Sun & Tao Liu & Xin-Na Geng & Yang Hu & Jing-Xiao Xu, 2023. "Optimization of scheduling problems with deterioration effects and an optional maintenance activity," Journal of Scheduling, Springer, vol. 26(3), pages 251-266, June.
    7. Matan Atsmony & Baruch Mor & Gur Mosheiov, 2024. "Single machine scheduling with step-learning," Journal of Scheduling, Springer, vol. 27(3), pages 227-237, June.
    8. Lishi Yu & Zhiyi Tan, 2024. "Scheduling with periodic availability constraints to minimize makespan," Journal of Scheduling, Springer, vol. 27(3), pages 277-297, June.
    9. Na Li & Ran Ma & Yuzhong Zhang, 2025. "Single-machine scheduling with the learning effect of processing time and the deterioration effect of delivery time for prefabricated components," Journal of Combinatorial Optimization, Springer, vol. 49(3), pages 1-26, April.
    10. Yi-Chun Wang & Ji-Bo Wang, 2023. "Study on Convex Resource Allocation Scheduling with a Time-Dependent Learning Effect," Mathematics, MDPI, vol. 11(14), pages 1-20, July.
    11. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    12. Andrzej Kozik, 2017. "Handling precedence constraints in scheduling problems by the sequence pair representation," Journal of Combinatorial Optimization, Springer, vol. 33(2), pages 445-472, February.
    13. Hongyu He & Yanzhi Zhao & Xiaojun Ma & Zheng-Guo Lv & Ji-Bo Wang, 2023. "Branch-and-Bound and Heuristic Algorithms for Group Scheduling with Due-Date Assignment and Resource Allocation," Mathematics, MDPI, vol. 11(23), pages 1-14, November.
    14. Sündüz Dağ, 2013. "An Application On Flowshop Scheduling," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 1(1), pages 47-56, December.
    15. Chen, Chuen-Lung & Vempati, Venkateswara S. & Aljaber, Nasser, 1995. "An application of genetic algorithms for flow shop problems," European Journal of Operational Research, Elsevier, vol. 80(2), pages 389-396, January.
    16. Jianxin Fang & Brenda Cheang & Andrew Lim, 2023. "Problems and Solution Methods of Machine Scheduling in Semiconductor Manufacturing Operations: A Survey," Sustainability, MDPI, vol. 15(17), pages 1-44, August.
    17. Solimanpur, M. & Vrat, Prem & Shankar, Ravi, 2004. "A heuristic to minimize makespan of cell scheduling problem," International Journal of Production Economics, Elsevier, vol. 88(3), pages 231-241, April.
    18. Angel A. Juan & Helena Ramalhinho-Lourenço & Manuel Mateo & Quim Castellà & Barry B. Barrios, 2012. "ILS-ESP: An efficient, simple, and parameter-free algorithm for solving the permutation flow-shop problem," Economics Working Papers 1319, Department of Economics and Business, Universitat Pompeu Fabra.
    19. Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
    20. Yu-Jun Zheng & Yi-Chen Du & Wei-Guo Sheng & Hai-Feng Ling, 2019. "Collaborative Human–UAV Search and Rescue for Missing Tourists in Nature Reserves," Interfaces, INFORMS, vol. 49(5), pages 371-383, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:610-:d:1341180. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.