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A Reliability Problem with Spares and Multiple Repair Facilities

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  • R. Natarajan

    (Directorate of Scientific Evaluation, New Delhi, India)

Abstract

A single unit system with ( N −1) spares and c repair facilities is considered. It is assumed that the failure time distribution of each unit is negative exponential with parameter λ and repair time distribution of each repair facility is again a negative exponential with parameter μ. The Time-to-System Failure Period (TSFP) process has been investigated solving the difference-differential equation through the compensating function technique. The general process probabilities are obtained through renewal arguments from TSFP process and System Down Time (SDT) process, and their ergodic properties are discussed. The long-run availability of the system and the cost implication has been illustrated by a numerical example.

Suggested Citation

  • R. Natarajan, 1968. "A Reliability Problem with Spares and Multiple Repair Facilities," Operations Research, INFORMS, vol. 16(5), pages 1041-1057, October.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:5:p:1041-1057
    DOI: 10.1287/opre.16.5.1041
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    Cited by:

    1. Gu, Jingyao & Zhang, Guoqing & Li, Kevin W., 2015. "Efficient aircraft spare parts inventory management under demand uncertainty," Journal of Air Transport Management, Elsevier, vol. 42(C), pages 101-109.
    2. Wang, Wenbin, 2012. "A stochastic model for joint spare parts inventory and planned maintenance optimisation," European Journal of Operational Research, Elsevier, vol. 216(1), pages 127-139.
    3. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2009. "Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems," International Journal of Production Economics, Elsevier, vol. 118(1), pages 260-268, March.

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