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A heuristic algorithm for two‐machine re‐entrant shop scheduling

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  • I.G. Drobouchevitch
  • V.A. Strusevich

Abstract

This paper considers the problem of sequencing n jobs in a two‐machine re‐entrant shopwith the objective of minimizing the maximum completion time. The shop consists of twomachines, M1 and M2 , and each job has the processing route (M1 , M2 , M1 ). An O(n log n)time heuristic is presented which generates a schedule with length at most 4/3 times that ofan optimal schedule, thereby improving the best previously available worst‐case performanceratio of 3/2. Copyright Kluwer Academic Publishers 1999

Suggested Citation

  • I.G. Drobouchevitch & V.A. Strusevich, 1999. "A heuristic algorithm for two‐machine re‐entrant shop scheduling," Annals of Operations Research, Springer, vol. 86(0), pages 417-439, January.
    • Handle: RePEc:spr:annopr:v:86:y:1999:i:0:p:417-439:10.1023/a:1018927407164
    DOI: 10.1023/A:1018927407164
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    Cited by:

    1. S-W Choi & Y-D Kim, 2007. "Minimizing makespan on a two-machine re-entrant flowshop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 972-981, July.
    2. Yang, Dar-Li & Kuo, Wen-Hung & Chern, Maw-Sheng, 2008. "Multi-family scheduling in a two-machine reentrant flow shop with setups," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1160-1170, June.
    3. Choi, Seong-Woo & Kim, Yeong-Dae, 2009. "Minimizing total tardiness on a two-machine re-entrant flowshop," European Journal of Operational Research, Elsevier, vol. 199(2), pages 375-384, December.

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