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Simple Machine Interference with Two Types of Failure

Author

Listed:
  • N. K. Jaiswal

    (Operational Research Group, Defence Science Laboratory, Delhi, India)

  • K. Thiruvengadam

    (Operational Research Group, Defence Science Laboratory, Delhi, India)

Abstract

This paper deals with the simple machine interference problem when each machine is liable to two types of failure whose repair times are distributed according to general distributions. One type of failure is assumed to have the “head-of-the-line” priority over the other type. Using the supplementary variable technique, the steady-state probabilities for the number of machines running, have been obtained.

Suggested Citation

  • N. K. Jaiswal & K. Thiruvengadam, 1963. "Simple Machine Interference with Two Types of Failure," Operations Research, INFORMS, vol. 11(4), pages 624-636, August.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:4:p:624-636
    DOI: 10.1287/opre.11.4.624
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    Cited by:

    1. Özgecan Ulusçu & Tayfur Altiok, 2013. "Waiting time approximation in multi-class queueing systems with multiple types of class-dependent interruptions," Annals of Operations Research, Springer, vol. 202(1), pages 185-195, January.
    2. Özgecan Ulusçu & Tayfur Altıok, 2009. "Waiting time approximation in single-class queueing systems with multiple types of interruptions: modeling congestion at waterways entrances," Annals of Operations Research, Springer, vol. 172(1), pages 291-313, November.

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