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Periodic Replacement with Increasing Minimal Repair Costs at Failure

Author

Listed:
  • Philip J. Boland

    (University College, Dublin, Ireland)

  • Frank Proschan

    (The Florida State University, Tallahassee, Florida)

Abstract

When an expensive one unit system fails or breaks down, it is often more practical to perform “minimal repair” than to make a replacement or perform a complete overhaul. Instead replacements or complete overhauls are made periodically at fixed multiples of some predetermined time T . In this paper we treat a model for this minimal repair-periodic replacement policy, and consider the problems of determining: (1) the period T which minimizes the total expected cost of repair and replacement over a fixed time horizon [0, t ), and (2) the period T which minimizes the total expected cost per unit time over an infinite time horizon.

Suggested Citation

  • Philip J. Boland & Frank Proschan, 1982. "Periodic Replacement with Increasing Minimal Repair Costs at Failure," Operations Research, INFORMS, vol. 30(6), pages 1183-1189, December.
  • Handle: RePEc:inm:oropre:v:30:y:1982:i:6:p:1183-1189
    DOI: 10.1287/opre.30.6.1183
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