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Total tardiness minimization on unrelated parallel machine scheduling with auxiliary equipment constraints

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  • Chen, Jeng-Fung
  • Wu, Tai-Hsi

Abstract

This research deals with scheduling jobs on unrelated parallel machines with auxiliary equipment constraints. Each job has a due date and requires a single operation. A setup for dies is incurred if there is a switch from processing one type of job to another type. For a die type, the number of dies is limited. Due to the attributes of the machines and the fitness of dies to each, the processing time for a job depends on the machine on which the job is processed, each job being restricted to processing on certain machines. In this paper, an effective heuristic based on threshold-accepting methods, tabu lists, and improvement procedures is proposed to minimize total tardiness. An extensive experiment is conducted to evaluate the computational characteristics of the proposed heuristic. Computational experiences demonstrate that the proposed heuristic is capable of obtaining optimal solutions for small-sized problems, and significantly outperforms an ATCS procedure and a simulated annealing method for problems in larger sizes.

Suggested Citation

  • Chen, Jeng-Fung & Wu, Tai-Hsi, 2006. "Total tardiness minimization on unrelated parallel machine scheduling with auxiliary equipment constraints," Omega, Elsevier, vol. 34(1), pages 81-89, January.
    • Handle: RePEc:eee:jomega:v:34:y:2006:i:1:p:81-89
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    References listed on IDEAS

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    2. Ibarra-Rojas, Omar J. & Ríos-Mercado, Roger Z. & Rios-Solis, Yasmin A. & Saucedo-Espinosa, Mario A., 2011. "A decomposition approach for the piece-mold-machine manufacturing problem," International Journal of Production Economics, Elsevier, vol. 134(1), pages 255-261, November.
    3. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    4. Allahverdi, Ali & Soroush, H.M., 2008. "The significance of reducing setup times/setup costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 978-984, June.
    5. Jacobson, Sheldon H. & McLay, Laura A., 2009. "Applying statistical tests to empirically compare tabu search parameters for MAX 3-SATISFIABILITY: A case study," Omega, Elsevier, vol. 37(3), pages 522-534, June.
    6. Vallada, Eva & Ruiz, Rubén, 2010. "Genetic algorithms with path relinking for the minimum tardiness permutation flowshop problem," Omega, Elsevier, vol. 38(1-2), pages 57-67, February.
    7. Mojtaba Afzalirad & Masoud Shafipour, 2018. "Design of an efficient genetic algorithm for resource-constrained unrelated parallel machine scheduling problem with machine eligibility restrictions," Journal of Intelligent Manufacturing, Springer, vol. 29(2), pages 423-437, February.
    8. Mensendiek, Arne & Gupta, Jatinder N.D. & Herrmann, Jan, 2015. "Scheduling identical parallel machines with fixed delivery dates to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 243(2), pages 514-522.
    9. Vallada, Eva & Ruiz, Rubén, 2011. "A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times," European Journal of Operational Research, Elsevier, vol. 211(3), pages 612-622, June.
    10. Shi, Yuhui & Reich, Daniel & Epelman, Marina & Klampfl, Erica & Cohn, Amy, 2017. "An analytical approach to prototype vehicle test scheduling," Omega, Elsevier, vol. 67(C), pages 168-176.
    11. Ronconi, Débora P. & Henriques, Luís R.S., 2009. "Some heuristic algorithms for total tardiness minimization in a flowshop with blocking," Omega, Elsevier, vol. 37(2), pages 272-281, April.
    12. Anzanello, Michel J. & Fogliatto, Flavio S. & Santos, Luana, 2014. "Learning dependent job scheduling in mass customized scenarios considering ergonomic factors," International Journal of Production Economics, Elsevier, vol. 154(C), pages 136-145.
    13. Ríos-Solís, Yasmín Á & Ibarra-Rojas, Omar J. & Cabo, Marta & Possani, Edgar, 2020. "A heuristic based on mathematical programming for a lot-sizing and scheduling problem in mold-injection production," European Journal of Operational Research, Elsevier, vol. 284(3), pages 861-873.

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