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Performance evaluation of transfer lines with general repair times and multiple failure modes

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  • Marcello Colledani
  • Tullio Tolio

Abstract

The paper proposes a decomposition method for evaluating the performance of transfer lines where machines can fail in multiple modes and can be repaired with non-exponential times. Indeed, while times to machine failure can be often modeled using exponential distributions with acceptable accuracy, times to repair are very rarely observed to be exponentially distributed in actual systems. This feature limits the applicability of existing approximate analytical methods to real production lines. In this paper, the discrete acyclic phase-type distribution is used to model the repair process, for each failure mode of the machines composing the system. The exact analysis of the two-machine system is used as a building block for the decomposition method, proposed to study multi-stage lines. Numerical results show the high accuracy of the developed method in estimating the average throughput and buffer levels. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Marcello Colledani & Tullio Tolio, 2011. "Performance evaluation of transfer lines with general repair times and multiple failure modes," Annals of Operations Research, Springer, vol. 182(1), pages 31-65, January.
    • Handle: RePEc:spr:annopr:v:182:y:2011:i:1:p:31-65:10.1007/s10479-009-0595-3
    DOI: 10.1007/s10479-009-0595-3
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    References listed on IDEAS

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    1. Altiok, Tayfur & Ranjan, Raghav, 1989. "Analysis of production lines with general service times and finite buffers: A two-node decomposition approach," Engineering Costs and Production Economics, Elsevier, vol. 17(1-4), pages 155-165, August.
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    3. Sheng Yang & Cheng Wu & S. Hu, 2000. "Modeling and analysis of multi‐stage transfer lines with unreliable machines and finite buffers," Annals of Operations Research, Springer, vol. 93(1), pages 405-421, January.
    4. Stanley B. Gershwin, 1987. "An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking," Operations Research, INFORMS, vol. 35(2), pages 291-305, April.
    5. Mitchell Burman & Stanley B. Gershwin & Curtis Suyematsu, 1998. "Hewlett-Packard Uses Operations Research to Improve the Design of a Printer Production Line," Interfaces, INFORMS, vol. 28(1), pages 24-36, February.
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    Cited by:

    1. Manzini, Massimo & Unglert, Johannes & Gyulai, Dávid & Colledani, Marcello & Jauregui-Becker, Juan Manuel & Monostori, László & Urgo, Marcello, 2018. "An integrated framework for design, management and operation of reconfigurable assembly systems," Omega, Elsevier, vol. 78(C), pages 69-84.
    2. Remco Bierbooms & Ivo Adan & Marcel Vuuren, 2013. "Approximate analysis of single-server tandem queues with finite buffers," Annals of Operations Research, Springer, vol. 209(1), pages 67-84, October.

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