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Makespan minimization for a 2-stage assembly scheduling problem subject to component available time constraint

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  • Sung, Chang Sup
  • Juhn, Jaeho

Abstract

This paper considers a 2-stage assembly flowshop scheduling problem where each job is assembled with two types of components and makespan is the objective measure. For the assembly, one type of the components is outsourced subject to job-dependent lead time but the other type is fabricated in-house, at the first stage. The problem is shown to be NP-complete in the strong sense. Some solution properties are characterized, based on which three heuristic algorithms are derived. A branch-and-bound algorithm is also derived by use of the associated three lower bounds and several dominance properties. Numerical experiments are conducted to evaluate the performances of the proposed branch-and-bound and heuristic algorithms.

Suggested Citation

  • Sung, Chang Sup & Juhn, Jaeho, 2009. "Makespan minimization for a 2-stage assembly scheduling problem subject to component available time constraint," International Journal of Production Economics, Elsevier, vol. 119(2), pages 392-401, June.
    • Handle: RePEc:eee:proeco:v:119:y:2009:i:2:p:392-401
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    1. Kovalyov, M. Y. & Potts, C. N. & Strusevich, V. A., 2004. "Batching decisions for assembly production systems," European Journal of Operational Research, Elsevier, vol. 157(3), pages 620-642, September.
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    6. Sun, Xi & Morizawa, Kazuko & Nagasawa, Hiroyuki, 2003. "Powerful heuristics to minimize makespan in fixed, 3-machine, assembly-type flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 146(3), pages 498-516, May.
    7. Kolisch, R., 2000. "Integration of assembly and fabrication for make-to-order production," International Journal of Production Economics, Elsevier, vol. 68(3), pages 287-306, December.
    8. Sung, C.S. & Kim, Hyun Ah, 2008. "A two-stage multiple-machine assembly scheduling problem for minimizing sum of completion times," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1038-1048, June.
    9. Lin, B.M.T. & Cheng, T.C.E. & Chou, A.S.C., 2007. "Scheduling in an assembly-type production chain with batch transfer," Omega, Elsevier, vol. 35(2), pages 143-151, April.
    10. Hariri, A. M. A. & Potts, C. N., 1997. "A branch and bound algorithm for the two-stage assembly scheduling problem," European Journal of Operational Research, Elsevier, vol. 103(3), pages 547-556, December.
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    Cited by:

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    2. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.

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