IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v319y2022i2d10.1007_s10479-021-04043-x.html
   My bibliography  Save this article

Generating bicriteria schedules for correlated parallel machines involving tardy jobs and weighted completion time

Author

Listed:
  • Yang-Kuei Lin

    (Feng Chia University)

  • Tzu-Yueh Yin

    (Feng Chia University)

Abstract

This research focuses on studying the correlated parallel machine scheduling problem with release dates to minimize the number of tardy jobs and the total weighted completion time to find Pareto optima of all non-dominated solutions for both criteria. First, a mixed integer programming (MIP) model to find the entire efficient frontier for the studied problem has been proposed. Next, a bicriteria heuristic, named UTWC, and three artificial bee colony (ABC) variant algorithms have been proposed to tackle the studied problem. The three ABC variant algorithms are ABC, ABC with variable neighborhood search scheme (ABC_VNS), and ABC with simulated annealing scheme (ABC_SA). For small problem instances, we compare the proposed heuristic UTWC and three ABC variant algorithms with the efficient frontier generated by solving the MIP model. For large problem instances, we compare the UTWC and three ABC variant algorithms with an existing multi-objective tabu search algorithm (TSA). We create a reference set by combining the solutions from the three ABC variant algorithms and the TSA. The computational results indicate that the UTWC heuristic can find a set of non-dominated solutions that are uniformly distributed above the efficient frontier. The proposed ABC_VNS algorithm outperforms all the compared algorithms in both small and large problem instances.

Suggested Citation

  • Yang-Kuei Lin & Tzu-Yueh Yin, 2022. "Generating bicriteria schedules for correlated parallel machines involving tardy jobs and weighted completion time," Annals of Operations Research, Springer, vol. 319(2), pages 1655-1688, December.
    • Handle: RePEc:spr:annopr:v:319:y:2022:i:2:d:10.1007_s10479-021-04043-x
    DOI: 10.1007/s10479-021-04043-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-021-04043-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-021-04043-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dugardin, Frédéric & Yalaoui, Farouk & Amodeo, Lionel, 2010. "New multi-objective method to solve reentrant hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 22-31, May.
    2. J N D Gupta & J C Ho & S Webster, 2000. "Bicriteria optimisation of the makespan and mean flowtime on two identical parallel machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(11), pages 1330-1339, November.
    3. Manuel Mateo & Jacques Teghem & Daniel Tuyttens, 2018. "A bi-objective parallel machine problem with eligibility, release dates and delivery times of the jobs," International Journal of Production Research, Taylor & Francis Journals, vol. 56(3), pages 1030-1053, February.
    4. Balasubramanian, Hari & Fowler, John & Keha, Ahmet & Pfund, Michele, 2009. "Scheduling interfering job sets on parallel machines," European Journal of Operational Research, Elsevier, vol. 199(1), pages 55-67, November.
    5. Gupta, J.N.D. & Ruiz-Torres, Alex J., 2005. "Generating efficient schedules for identical parallel machines involving flow-time and tardy jobs," European Journal of Operational Research, Elsevier, vol. 167(3), pages 679-695, December.
    6. Yang-Kuei Lin, 2018. "Scheduling efficiency on correlated parallel machine scheduling problems," Operational Research, Springer, vol. 18(3), pages 603-624, October.
    7. Lin, Yang-Kuei & Fowler, John W. & Pfund, Michele E., 2013. "Multiple-objective heuristics for scheduling unrelated parallel machines," European Journal of Operational Research, Elsevier, vol. 227(2), pages 239-253.
    8. Donatas Elvikis & Vincent T’kindt, 2014. "Two-agent scheduling on uniform parallel machines with min-max criteria," Annals of Operations Research, Springer, vol. 213(1), pages 79-94, February.
    9. 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.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Lei Liu & Marcello Urgo, 2024. "Robust scheduling in a two-machine re-entrant flow shop to minimise the value-at-risk of the makespan: branch-and-bound and heuristic algorithms based on Markovian activity networks and phase-type dis," Annals of Operations Research, Springer, vol. 338(1), pages 741-764, July.
    3. Lin, Yang-Kuei & Fowler, John W. & Pfund, Michele E., 2013. "Multiple-objective heuristics for scheduling unrelated parallel machines," European Journal of Operational Research, Elsevier, vol. 227(2), pages 239-253.
    4. Tifenn Rault & Faiza Sadi & Jean-Charles Billaut & Ameur Soukhal, 2024. "Scheduling two interfering job sets on identical parallel machines with makespan and total completion time minimization," Journal of Scheduling, Springer, vol. 27(5), pages 485-505, October.
    5. 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.
    6. 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.
    7. Sündüz Dağ, 2013. "An Application On Flowshop Scheduling," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 1(1), pages 47-56, December.
    8. Bozorgirad, Mir Abbas & Logendran, Rasaratnam, 2013. "Bi-criteria group scheduling in hybrid flowshops," International Journal of Production Economics, Elsevier, vol. 145(2), pages 599-612.
    9. 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.
    10. 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.
    11. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    12. Barry B. Barrios & Quim Castellà & Angel A. Juan & Manuel Mateo, 2015. "ILS-ESP: An Efficient, Simple, and Parameter-Free Algorithm for Solving the Permutation Flow-Shop Problem," Working Papers 636, Barcelona School of Economics.
    13. J Jackman & Z Guerra de Castillo & S Olafsson, 2011. "Stochastic flow shop scheduling model for the Panama Canal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 69-80, January.
    14. 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.
    15. 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.
    16. Brammer, Janis & Lutz, Bernhard & Neumann, Dirk, 2022. "Permutation flow shop scheduling with multiple lines and demand plans using reinforcement learning," European Journal of Operational Research, Elsevier, vol. 299(1), pages 75-86.
    17. Quang Chieu Ta & Jean-Charles Billaut & Jean-Louis Bouquard, 2018. "Matheuristic algorithms for minimizing total tardiness in the m-machine flow-shop scheduling problem," Journal of Intelligent Manufacturing, Springer, vol. 29(3), pages 617-628, March.
    18. Tseng, Lin-Yu & Lin, Ya-Tai, 2009. "A hybrid genetic local search algorithm for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 198(1), pages 84-92, October.
    19. Gerardo Minella & Rubén Ruiz & Michele Ciavotta, 2008. "A Review and Evaluation of Multiobjective Algorithms for the Flowshop Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 451-471, August.
    20. Ramalhinho Lourenco, Helena, 1996. "Sevast'yanov's algorithm for the flow-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 91(1), pages 176-189, May.

    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:spr:annopr:v:319:y:2022:i:2:d:10.1007_s10479-021-04043-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.