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Order acceptance and scheduling on two identical parallel machines

Author

Listed:
  • Xiuli Wang

    (Nanjing University of Science and Technology, Nanjing, People’s Republic of China)

  • Guodong Huang

    (Nanjing University of Science and Technology, Nanjing, People’s Republic of China)

  • Xiuwu Hu

    (Nanjing University of Science and Technology, Nanjing, People’s Republic of China)

  • T C Edwin Cheng

    (The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong)

Abstract

We study the order acceptance and scheduling problem on two identical parallel machines. At the beginning of the planning horizon, a firm receives a set of customer orders, each of which has a revenue value, processing time, due date, and tardiness weight. The firm needs to select orders to accept and schedule the accepted orders on two identical parallel machines so as to maximize the total profit. The problem is intractable, so we develop two heuristics and an exact algorithm based on some optimal properties and the Lagrangian relaxation technique. We evaluate the performance of the proposed solution methods via computational experiments. The computational results show that the heuristics are efficient and effective in approximately solving large-sized instances of the problem, while the exact algorithm can only solve small-sized instances.

Suggested Citation

  • Xiuli Wang & Guodong Huang & Xiuwu Hu & T C Edwin Cheng, 2015. "Order acceptance and scheduling on two identical parallel machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(10), pages 1755-1767, October.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:10:p:1755-1767
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    Citations

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    Cited by:

    1. Chun-Lung Chen, 2023. "An Iterated Population-Based Metaheuristic for Order Acceptance and Scheduling in Unrelated Parallel Machines with Several Practical Constraints," Mathematics, MDPI, vol. 11(6), pages 1-14, March.
    2. Shih-Hsin Chen & Yeong-Cheng Liou & Yi-Hui Chen & Kun-Ching Wang, 2019. "Order Acceptance and Scheduling Problem with Carbon Emission Reduction and Electricity Tariffs on a Single Machine," Sustainability, MDPI, vol. 11(19), pages 1-16, September.
    3. Perea, Federico & Yepes-Borrero, Juan C. & Menezes, Mozart B.C., 2023. "Acceptance Ordering Scheduling Problem: The impact of an order-portfolio on a make-to-order firm’s profitability," International Journal of Production Economics, Elsevier, vol. 264(C).
    4. 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.
    5. Wang, Xiuli & Geng, Sujie & Cheng, T.C.E., 2018. "Negotiation mechanisms for an order subcontracting and scheduling problem," Omega, Elsevier, vol. 77(C), pages 154-167.
    6. Hanane Krim & Nicolas Zufferey & Jean-Yves Potvin & Rachid Benmansour & David Duvivier, 2022. "Tabu search for a parallel-machine scheduling problem with periodic maintenance, job rejection and weighted sum of completion times," Journal of Scheduling, Springer, vol. 25(1), pages 89-105, February.
    7. Somaye Geramipour & Ghasem Moslehi & Mohammad Reisi-Nafchi, 2017. "Maximizing the profit in customer’s order acceptance and scheduling problem with weighted tardiness penalty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(1), pages 89-101, January.
    8. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    9. 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).
    10. Wang, Xiuli & Zhu, Qianqian & Cheng, T.C.E., 2015. "Subcontracting price schemes for order acceptance and scheduling," Omega, Elsevier, vol. 54(C), pages 1-10.
    11. Tarhan, İstenç & Oğuz, Ceyda, 2022. "A matheuristic for the generalized order acceptance and scheduling problem," European Journal of Operational Research, Elsevier, vol. 299(1), pages 87-103.
    12. 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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