IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v284y2020i2p427-438.html
   My bibliography  Save this article

The consecutive multiprocessor job scheduling problem

Author

Listed:
  • Bukchin, Yossi
  • Raviv, Tal
  • Zaides, Ilya

Abstract

We study a variant of the multiprocessor job scheduling problem, where jobs are processed by several identical machines. The machines are ordered in a sequence, and each job is processed by several consecutive machines simultaneously. The jobs are characterized by their processing time, the number of required consecutive machines, and their ready time. The objective function is to minimize the sum of general functions defined over the completion time of each job. This study is motivated by a real problem in the semiconductor industry. We present a time-indexed integer programming and a constraint programming formulations for the problem and demonstrate their applicability through an extensive numerical study and an industrial case study.

Suggested Citation

  • Bukchin, Yossi & Raviv, Tal & Zaides, Ilya, 2020. "The consecutive multiprocessor job scheduling problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 427-438.
    • Handle: RePEc:eee:ejores:v:284:y:2020:i:2:p:427-438
    DOI: 10.1016/j.ejor.2019.12.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221719310835
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2019.12.043?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. Andreas T. Ernst & Ceyda Oğuz & Gaurav Singh & Gita Taherkhani, 2017. "Mathematical models for the berth allocation problem in dry bulk terminals," Journal of Scheduling, Springer, vol. 20(5), pages 459-473, October.
    2. Jianer Chen & Chung‐Yee Lee, 1999. "General multiprocessor task scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 57-74, February.
    3. G. V. Kass, 1980. "An Exploratory Technique for Investigating Large Quantities of Categorical Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(2), pages 119-127, June.
    4. Young-Man Park & Kap Hwan Kim, 2005. "A scheduling method for Berth and Quay cranes," Springer Books, in: Hans-Otto Günther & Kap Hwan Kim (ed.), Container Terminals and Automated Transport Systems, pages 159-181, Springer.
    5. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2001. "The dynamic berth allocation problem for a container port," Transportation Research Part B: Methodological, Elsevier, vol. 35(4), pages 401-417, May.
    6. Umang, Nitish & Bierlaire, Michel & Vacca, Ilaria, 2013. "Exact and heuristic methods to solve the berth allocation problem in bulk ports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 14-31.
    7. Agra, Agostinho & Oliveira, Maryse, 2018. "MIP approaches for the integrated berth allocation and quay crane assignment and scheduling problem," European Journal of Operational Research, Elsevier, vol. 264(1), pages 138-148.
    8. Bukchin, Yossi & Raviv, Tal, 2018. "Constraint programming for solving various assembly line balancing problems," Omega, Elsevier, vol. 78(C), pages 57-68.
    9. Bierwirth, Christian & Meisel, Frank, 2010. "A survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 202(3), pages 615-627, May.
    10. Jingui Huang & Jianer Chen & Songqiao Chen & Jianxin Wang, 2007. "A simple linear time approximation algorithm for multi-processor job scheduling on four processors," Journal of Combinatorial Optimization, Springer, vol. 13(1), pages 33-45, January.
    11. Imai, Akio & Chen, Hsieh Chia & Nishimura, Etsuko & Papadimitriou, Stratos, 2008. "The simultaneous berth and quay crane allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 900-920, September.
    12. Imai, Akio & Sun, Xin & Nishimura, Etsuko & Papadimitriou, Stratos, 2005. "Berth allocation in a container port: using a continuous location space approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 199-221, March.
    13. Silvano Martello & Michele Monaci & Daniele Vigo, 2003. "An Exact Approach to the Strip-Packing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 310-319, August.
    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. T. R. Lalita & G. S. R. Murthy, 2022. "Compact ILP formulations for a class of solutions to berth allocation and quay crane scheduling problems," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 413-439, March.
    2. Changchun Liu & Xi Xiang & Li Zheng, 2020. "A two-stage robust optimization approach for the berth allocation problem under uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 425-452, June.
    3. Iris, Çağatay & Pacino, Dario & Ropke, Stefan & Larsen, Allan, 2015. "Integrated Berth Allocation and Quay Crane Assignment Problem: Set partitioning models and computational results," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 75-97.
    4. Robenek, Tomáš & Umang, Nitish & Bierlaire, Michel & Ropke, Stefan, 2014. "A branch-and-price algorithm to solve the integrated berth allocation and yard assignment problem in bulk ports," European Journal of Operational Research, Elsevier, vol. 235(2), pages 399-411.
    5. Unsal, Ozgur & Oguz, Ceyda, 2019. "An exact algorithm for integrated planning of operations in dry bulk terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 103-121.
    6. Zhen, Lu, 2015. "Tactical berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 247(3), pages 928-944.
    7. Changchun Liu & Xi Xiang & Li Zheng, 2017. "Two decision models for berth allocation problem under uncertainty considering service level," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 312-344, December.
    8. El Mehdi, Er Raqabi & Ilyas, Himmich & Nizar, El Hachemi & Issmaïl, El Hallaoui & François, Soumis, 2023. "Incremental LNS framework for integrated production, inventory, and vessel scheduling: Application to a global supply chain," Omega, Elsevier, vol. 116(C).
    9. Zhen, Lu & Lee, Loo Hay & Chew, Ek Peng, 2011. "A decision model for berth allocation under uncertainty," European Journal of Operational Research, Elsevier, vol. 212(1), pages 54-68, July.
    10. Sung Won Cho & Hyun Ji Park & Chulung Lee, 2021. "An integrated method for berth allocation and quay crane assignment to allow for reassignment of vessels to other terminals," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 23(1), pages 123-153, March.
    11. Han, Xiao-le & Lu, Zhi-qiang & Xi, Li-feng, 2010. "A proactive approach for simultaneous berth and quay crane scheduling problem with stochastic arrival and handling time," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1327-1340, December.
    12. Nitish Umang & Michel Bierlaire & Alan L. Erera, 2017. "Real-time management of berth allocation with stochastic arrival and handling times," Journal of Scheduling, Springer, vol. 20(1), pages 67-83, February.
    13. Agra, Agostinho & Oliveira, Maryse, 2018. "MIP approaches for the integrated berth allocation and quay crane assignment and scheduling problem," European Journal of Operational Research, Elsevier, vol. 264(1), pages 138-148.
    14. Liu, Changchun, 2020. "Iterative heuristic for simultaneous allocations of berths, quay cranes, and yards under practical situations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    15. Issam Krimi & Raca Todosijević & Rachid Benmansour & Mustapha Ratli & Abdessamad Ait Cadi & Afaf Aloullal, 2020. "Modelling and solving the multi-quays berth allocation and crane assignment problem with availability constraints," Journal of Global Optimization, Springer, vol. 78(2), pages 349-373, October.
    16. Xu, Dongsheng & Li, Chung-Lun & Leung, Joseph Y.-T., 2012. "Berth allocation with time-dependent physical limitations on vessels," European Journal of Operational Research, Elsevier, vol. 216(1), pages 47-56.
    17. Xiang, Xi & Liu, Changchun & Miao, Lixin, 2017. "A bi-objective robust model for berth allocation scheduling under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 294-319.
    18. Correcher, Juan Francisco & Van den Bossche, Thomas & Alvarez-Valdes, Ramon & Vanden Berghe, Greet, 2019. "The berth allocation problem in terminals with irregular layouts," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1096-1108.
    19. Shangyao Yan & Chung-Cheng Lu & Jun-Hsiao Hsieh & Han-Chun Lin, 2019. "A Dynamic and Flexible Berth Allocation Model with Stochastic Vessel Arrival Times," Networks and Spatial Economics, Springer, vol. 19(3), pages 903-927, September.
    20. Zhen, Lu & Liang, Zhe & Zhuge, Dan & Lee, Loo Hay & Chew, Ek Peng, 2017. "Daily berth planning in a tidal port with channel flow control," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 193-217.

    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:eee:ejores:v:284:y:2020:i:2:p:427-438. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.