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Analysis of two-machine lines with finite buffer, operation-dependent and time-dependent failure modes

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  • Andrea Matta
  • Francesca Simone

Abstract

An analytical model for evaluating the throughput of two-machine lines, characterised by intermediate buffer with finite capacity, deterministic processing times and multiple failure modes for each machine is presented in this paper. Both operation-dependent failure and time-dependent failure are captured in a unique model as extension of the existing literature that was dealing with either one of them. Each machine has two failure modes, one is operation-dependent and the other is time-dependent. Time to failure and time to repair are assumed to be geometrically distributed. The presented method calculates the steady-state probabilities of the manufacturing system with a computational effort that depends only on the number of failure modes and not on the buffer capacity. A performance comparison of the proposed model with existing techniques is also reported, the aim is to show the error introduced by an analytical model that considers the operation-dependent failure mode as approximation of the time-dependent one.

Suggested Citation

  • Andrea Matta & Francesca Simone, 2016. "Analysis of two-machine lines with finite buffer, operation-dependent and time-dependent failure modes," International Journal of Production Research, Taylor & Francis Journals, vol. 54(6), pages 1850-1862, March.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:6:p:1850-1862
    DOI: 10.1080/00207543.2015.1085654
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    References listed on IDEAS

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    1. 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.
    2. Tan, BarIs & Gershwin, Stanley B., 2009. "Analysis of a general Markovian two-stage continuous-flow production system with a finite buffer," International Journal of Production Economics, Elsevier, vol. 120(2), pages 327-339, August.
    3. Diomidis Spinellis & Michael J. Vidalis & Michael E. J. O'Kelly & Chrissoleon T. Papadopoulos, 2009. "Analysis and Design of Discrete Part Production Lines," Springer Optimization and Its Applications, Springer, number 978-0-387-89494-2, December.
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    Cited by:

    1. Ding Zhang & Yi Luo & Qiang Liu, 2024. "Reliability evaluation of production systems with finite buffers subject to time-dependent and operation-dependent failures," Annals of Operations Research, Springer, vol. 340(1), pages 671-691, September.
    2. Zhou, Yifan & Guo, Yiming & Lin, Tian Ran & Ma, Lin, 2018. "Maintenance optimisation of a series production system with intermediate buffers using a multi-agent FMDP," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 39-48.
    3. Leoni, Leonardo & De Carlo, Filippo & Tucci, Mario, 2023. "Developing a framework for generating production-dependent failure rate through discrete-event simulation," International Journal of Production Economics, Elsevier, vol. 266(C).
    4. Ait-El-Cadi, Abdessamad & Gharbi, Ali & Dhouib, Karem & Artiba, Abdelhakim, 2021. "Integrated production, maintenance and quality control policy for unreliable manufacturing systems under dynamic inspection," International Journal of Production Economics, Elsevier, vol. 236(C).

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