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The performance evaluation of a multi-stage JIT production system with stochastic demand and production capacities

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  • Iwase, Masaharu
  • Ohno, Katsuhisa

Abstract

This paper discusses a single-item, multi-stage, serial Just-in-Time (JIT) production system with stochastic demand and production capacities. The JIT production system is modeled as a discrete-time, M/G/1-type Markov chain. A necessary and sufficient condition, or a stability condition, under which the system has a steady-state distribution is derived. A performance evaluation algorithm is then developed using the matrix analytic methods. In numerical examples, the optimal numbers of kanbans are determined by the proposed algorithm. The optimal numbers of kanbans are robust for the variations in production capacity distribution and demand distribution.

Suggested Citation

  • Iwase, Masaharu & Ohno, Katsuhisa, 2011. "The performance evaluation of a multi-stage JIT production system with stochastic demand and production capacities," European Journal of Operational Research, Elsevier, vol. 214(2), pages 216-222, October.
    • Handle: RePEc:eee:ejores:v:214:y:2011:i:2:p:216-222
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    References listed on IDEAS

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    1. Debasis Mitra & Isi Mitrani, 1990. "Analysis of a Kanban Discipline for Cell Coordination in Production Lines. I," Management Science, INFORMS, vol. 36(12), pages 1548-1566, December.
    2. Matta, Andrea & Dallery, Yves & Di Mascolo, Maria, 2005. "Analysis of assembly systems controlled with kanbans," European Journal of Operational Research, Elsevier, vol. 166(2), pages 310-336, October.
    3. Jean-Luc Deleersnyder & Thom J. Hodgson & Henri Muller-Malek & Peter J. O'Grady, 1989. "Kanban Controlled Pull Systems: An Analytic Approach," Management Science, INFORMS, vol. 35(9), pages 1079-1091, September.
    4. Debasis Mitra & Isi Mitrani, 1991. "Analysis of a Kanban Discipline for Cell Coordination in Production Lines, II: Stochastic Demands," Operations Research, INFORMS, vol. 39(5), pages 807-823, October.
    5. Maria Di Mascolo & Yannick Frein & Yves Dallery, 1996. "An Analytical Method for Performance Evaluation of Kanban Controlled Production Systems," Operations Research, INFORMS, vol. 44(1), pages 50-64, February.
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    Cited by:

    1. Sobhani, A. & Wahab, M.I.M. & Neumann, W.P., 2015. "Investigating work-related ill health effects in optimizing the performance of manufacturing systems," European Journal of Operational Research, Elsevier, vol. 241(3), pages 708-718.

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