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A parallel neighborhood search for order acceptance and scheduling in flow shop environment

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  • Lei, Deming
  • Guo, Xiuping

Abstract

We consider the order acceptance and scheduling problem in a flow shop where the objective is to simultaneously minimize makespan and maximize total net revenue. We formulate the problem as a mixed integer linear programming model and develop an effective parallel neighborhood search algorithm. Two-string representation and three neighborhood structures are applied to generate new solutions. Parallelization is implemented by applying two independent searches and directly exchanging information between them. We assess the performance of the proposed method via computational experiments using an extensive set of instances. The experimental results show that the proposed method is highly effective and competitive when compared to other algorithms.

Suggested Citation

  • Lei, Deming & Guo, Xiuping, 2015. "A parallel neighborhood search for order acceptance and scheduling in flow shop environment," International Journal of Production Economics, Elsevier, vol. 165(C), pages 12-18.
    • Handle: RePEc:eee:proeco:v:165:y:2015:i:c:p:12-18
    DOI: 10.1016/j.ijpe.2015.03.013
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    References listed on IDEAS

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    1. Og[breve]uz, Ceyda & Sibel Salman, F. & Bilgintürk YalçIn, Zehra, 2010. "Order acceptance and scheduling decisions in make-to-order systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 200-211, May.
    2. Wang, Xiuli & Xie, Xingzi & Cheng, T.C.E., 2013. "A modified artificial bee colony algorithm for order acceptance in two-machine flow shops," International Journal of Production Economics, Elsevier, vol. 141(1), pages 14-23.
    3. Jin, Jianyong & Crainic, Teodor Gabriel & Løkketangen, Arne, 2012. "A parallel multi-neighborhood cooperative tabu search for capacitated vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 222(3), pages 441-451.
    4. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    5. S-W Lin & K-C Ying, 2013. "Increasing the total net revenue for single machine order acceptance and scheduling problems using an artificial bee colony algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(2), pages 293-311, February.
    6. Slotnick, Susan A., 2011. "Order acceptance and scheduling: A taxonomy and review," European Journal of Operational Research, Elsevier, vol. 212(1), pages 1-11, July.
    7. Wang, Xiuli & Xie, Xingzi & Cheng, T.C.E., 2013. "Order acceptance and scheduling in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 141(1), pages 366-376.
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    Cited by:

    1. Mohamadreza Dabiri & Mehdi Yazdani & Bahman Naderi & Hassan Haleh, 2022. "Modeling and solution methods for hybrid flow shop scheduling problem with job rejection," Operational Research, Springer, vol. 22(3), pages 2721-2765, July.
    2. Li, Xin & Ventura, Jose A., 2020. "Exact algorithms for a joint order acceptance and scheduling problem," International Journal of Production Economics, Elsevier, vol. 223(C).
    3. Wang, Du-Juan & Yin, Yunqiang & Xu, Jianyou & Wu, Wen-Hsiang & Cheng, Shuenn-Ren & Wu, Chin-Chia, 2015. "Some due date determination scheduling problems with two agents on a single machine," International Journal of Production Economics, Elsevier, vol. 168(C), pages 81-90.
    4. Esmaeilbeigi, Rasul & Charkhgard, Parisa & Charkhgard, Hadi, 2016. "Order acceptance and scheduling problems in two-machine flow shops: New mixed integer programming formulations," European Journal of Operational Research, Elsevier, vol. 251(2), pages 419-431.
    5. Liu, Zhixin & Lu, Liang & Qi, Xiangtong, 2020. "Price quotation for orders with different due dates," International Journal of Production Economics, Elsevier, vol. 220(C).
    6. Chen, Wenchong & Gong, Xuejian & Rahman, Humyun Fuad & Liu, Hongwei & Qi, Ershi, 2021. "Real-time order acceptance and scheduling for data-enabled permutation flow shops: Bilevel interactive optimization with nonlinear integer programming," Omega, Elsevier, vol. 105(C).
    7. Schryen, Guido, 2020. "Parallel computational optimization in operations research: A new integrative framework, literature review and research directions," European Journal of Operational Research, Elsevier, vol. 287(1), pages 1-18.
    8. Naderi, Bahman & Roshanaei, Vahid, 2020. "Branch-Relax-and-Check: A tractable decomposition method for order acceptance and identical parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 286(3), pages 811-827.

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