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Technical Note—Probabilistic Analysis of a Two-Unit System with a Single Service Facility for Preventive Maintenance and Repair

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  • M. N. Gopalan

    (Indian Institute of Technology, Powai, Bombay, India)

  • C. A. D'Souza

    (Indian Institute of Technology, Powai, Bombay, India)

Abstract

This note deals with the availability and the reliability of a two-unit system with a cold standby and a single service facility for the performance of preventive maintenance and repair. Explicit expressions for the Laplace transform of the mean downtime of the system during (0, t ) and for the mean time to system failure have been obtained under the assumption that the repair time and the preventive maintenance time of a unit are exponentially distributed. The case of no preventive maintenance is also considered as a special case.

Suggested Citation

  • M. N. Gopalan & C. A. D'Souza, 1975. "Technical Note—Probabilistic Analysis of a Two-Unit System with a Single Service Facility for Preventive Maintenance and Repair," Operations Research, INFORMS, vol. 23(1), pages 173-177, February.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:1:p:173-177
    DOI: 10.1287/opre.23.1.173
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