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New heuristics for m-machine no-wait flowshop to minimize total completion time

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  • Aldowaisan, Tariq
  • Allahverdi, Ali

Abstract

This paper presents several new heuristics for the m-machine no-wait flowshop with total completion time as the criterion. The performance of the proposed heuristics is compared with those of three existing heuristics including a recently developed Genetic Algorithm. Computational experience with small and large number of jobs and processing time distributions of U(1,100) and U(1,10) demonstrates the superiority of the proposed heuristics with respect to error performance. For example, for U(1,100), number of jobs 400, and number of machines 25, the suggested proposed heuristics PH1(p) and PH3(p) yield an average percentage relative error of 0.006% and 0.257%. This is compared with an average percentage relative error of 2.764% for the best performing existing heuristic.

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  • Aldowaisan, Tariq & Allahverdi, Ali, 2004. "New heuristics for m-machine no-wait flowshop to minimize total completion time," Omega, Elsevier, vol. 32(5), pages 345-352, October.
    • Handle: RePEc:eee:jomega:v:32:y:2004:i:5:p:345-352
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    Cited by:

    1. Liang, Wen-Yau & Huang, Chun-Che, 2008. "A hybrid approach to constrained evolutionary computing: Case of product synthesis," Omega, Elsevier, vol. 36(6), pages 1072-1085, December.
    2. Li, Xiaoping & Wang, Qian & Wu, Cheng, 2009. "Efficient composite heuristics for total flowtime minimization in permutation flow shops," Omega, Elsevier, vol. 37(1), pages 155-164, February.
    3. Shabtay, Dvir & Arviv, Kfir & Stern, Helman & Edan, Yael, 2014. "A combined robot selection and scheduling problem for flow-shops with no-wait restrictions," Omega, Elsevier, vol. 43(C), pages 96-107.
    4. Weiwei Cui & Biao Lu, 2020. "A Bi-Objective Approach to Minimize Makespan and Energy Consumption in Flow Shops with Peak Demand Constraint," Sustainability, MDPI, vol. 12(10), pages 1-22, May.
    5. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    6. Lin, Shih-Wei & Ying, Kuo-Ching, 2016. "Optimization of makespan for no-wait flowshop scheduling problems using efficient matheuristics," Omega, Elsevier, vol. 64(C), pages 115-125.
    7. 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.
    8. Martin, Clarence H, 2009. "A hybrid genetic algorithm/mathematical programming approach to the multi-family flowshop scheduling problem with lot streaming," Omega, Elsevier, vol. 37(1), pages 126-137, February.

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