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Exact analysis of a two-workstation one-buffer flow line with parallel unreliable machines

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  • Alexandros, Diamantidis C.
  • Chrissoleon, Papadopoulos T.

Abstract

This paper examines a model of a serial flow line with two workstations and an intermediate buffer. Each workstation consists of multiple unreliable parallel machines which are not necessarily identical, viz., the processing times, failure times and repair times of the parallel machines at each workstation are assumed to be exponentially distributed with non-identical mean rates. The system under consideration is solved via exact Markovian analysis. More specifically, a recursive algorithm that generates the transition matrix for any value of the intermediate buffer capacity is developed and all possible transition equations are derived and solved analytically. Once the transition equations are solved the performance measures of the model under consideration can be easily evaluated. This model may be used as a decomposition block for solving larger flow lines with parallel unreliable machines at each workstation.

Suggested Citation

  • Alexandros, Diamantidis C. & Chrissoleon, Papadopoulos T., 2009. "Exact analysis of a two-workstation one-buffer flow line with parallel unreliable machines," European Journal of Operational Research, Elsevier, vol. 197(2), pages 572-580, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:2:p:572-580
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    References listed on IDEAS

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    1. Heavey, C. & Papadopoulos, H. T. & Browne, J., 1993. "The throughput rate of multistation unreliable production lines," European Journal of Operational Research, Elsevier, vol. 68(1), pages 69-89, July.
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    Cited by:

    1. Song Jiu, 2021. "A two-phase approach for integrating preventive maintenance with production and delivery in an unreliable coal mine," Journal of Heuristics, Springer, vol. 27(6), pages 991-1020, December.
    2. Yifan Zhou & Chao Yuan & Tian Ran Lin & Lin Ma, 2021. "Maintenance policy structure investigation and optimisation of a complex production system with intermediate buffers," Journal of Risk and Reliability, , vol. 235(3), pages 458-473, June.

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