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An analytical formula for throughput of a production line with identical stations and random failures

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  • Dennis E. Blumenfeld
  • Jingshan Li

Abstract

We derive a simple formula for the throughput (jobs produced per unit time) of a serial production line with workstations that are subject to random failures. The derivation is based on equations developed for a line flow model that takes into account the impact of finite buffers between workstations. The formula applies in the special case of a line with identical workstations and buffers of equal size. It is a closed-form expression that shows the mathematical relationships between the system parameters, and that can be used to gain basic insight into system behavior at the initial design stage.

Suggested Citation

  • Dennis E. Blumenfeld & Jingshan Li, 2005. "An analytical formula for throughput of a production line with identical stations and random failures," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-16, January.
    • Handle: RePEc:hin:jnlmpe:957150
    DOI: 10.1155/MPE.2005.293
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