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Some comparative & design aspects of fixed cycle production systems

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  • A. L. Soyster
  • D. I. Toof

Abstract

A serial production line is defined wherein a unit is produced if, and only if, all machines are functioning. A single buffer stock with finite capacity is to be placed immediately after one of the first N‐1 machines in the N machine line. When all machines have equal probability of failure it is shown that the optimal buffer position is exactly in the middle of the line. This result is synthesized with the earlier work of Koenigsberg and Buzacott including an analysis of the covariance between transition states. An alternative model formulation is presented and integrated with previous results. Finally, a sufficient condition and solution procedure is derived for the installation of a buffer where there is a possible trade‐off between increasing the reliability of the line versus adding a buffer stock.

Suggested Citation

  • A. L. Soyster & D. I. Toof, 1976. "Some comparative & design aspects of fixed cycle production systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 437-454, September.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:3:p:437-454
    DOI: 10.1002/nav.3800230306
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    Cited by:

    1. Kwang‐Fu Li, 1987. "Serial production lines with unreliable machines and limited repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 101-108, February.

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