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No-wait flowshop scheduling problem with two criteria; total tardiness and makespan

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  • Allahverdi, Ali
  • Aydilek, Harun
  • Aydilek, Asiye

Abstract

We consider the m-machine no-wait flowshop scheduling problem with respect to two performance measures; total tardiness and makespan. Our objective is to minimize total tardiness subject to the constraint that the makespan is not larger than a given value. We develop dominance relations and propose an algorithm, called Algorithm AA, which is a combination of simulated annealing and insertion algorithm. Moreover, we adapt five existing algorithms, including three well performing algorithms known to minimize total tardiness, to our problem. We conduct extensive computational experiments to compare the performance of the proposed Algorithm AA with the existing algorithms under the same CPU times. We also evaluate the effect of the dominance relations. The computational analysis indicates that the proposed Algorithm AA performs significantly better than the existing algorithms. Specifically, the relative error of the Algorithm AA is about 60% less than that of the best algorithm among the five existing algorithms considered. All the results are statistically verified. Hence, the proposed Algorithm AA is recommended for the considered problem.

Suggested Citation

  • Allahverdi, Ali & Aydilek, Harun & Aydilek, Asiye, 2018. "No-wait flowshop scheduling problem with two criteria; total tardiness and makespan," European Journal of Operational Research, Elsevier, vol. 269(2), pages 590-601.
    • Handle: RePEc:eee:ejores:v:269:y:2018:i:2:p:590-601
    DOI: 10.1016/j.ejor.2017.11.070
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    References listed on IDEAS

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    1. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    2. Allahverdi, Ali & Aldowaisan, Tariq, 2004. "No-wait flowshops with bicriteria of makespan and maximum lateness," European Journal of Operational Research, Elsevier, vol. 152(1), pages 132-147, January.
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    4. Allahverdi, Ali & Aydilek, Harun, 2014. "Total completion time with makespan constraint in no-wait flowshops with setup times," European Journal of Operational Research, Elsevier, vol. 238(3), pages 724-734.
    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. Alex J. Ruiz-Torres & Giuseppe Paletta & Rym M’Hallah, 2017. "Makespan minimisation with sequence-dependent machine deterioration and maintenance events," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 462-479, January.
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    11. 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.
    12. Gedik, Ridvan & Rainwater, Chase & Nachtmann, Heather & Pohl, Ed A., 2016. "Analysis of a parallel machine scheduling problem with sequence dependent setup times and job availability intervals," European Journal of Operational Research, Elsevier, vol. 251(2), pages 640-650.
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    Cited by:

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    2. Jiang, Junwei & An, Youjun & Dong, Yuanfa & Hu, Jiawen & Li, Yinghe & Zhao, Ziye, 2023. "Integrated optimization of non-permutation flow shop scheduling and maintenance planning with variable processing speed," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
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