The Block Replacement Problem with Minimal Repair and Random Repair Costs

Menachem Berg, Robert Cléroux

Research output: Contribution to journalArticlepeer-review


A generalization of the block replacement policy (BRP) is proposed and analysed. The new policy differs from the ordinary BRP in that at failure epochs the replacement of the failed unit is not mandatory and instead a minimal repair can be made. The choice between these two possible actions is based on the repair cost which is assumed to be random. Planned replacements are carried out at times kT(k — 1. 2, 3,…), like in the ordinary BRP, and the aim of the paper is to find the optimal block interval T which minimizes the long run expected cost per unit time of the policy.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalJournal of Statistical Computation and Simulation
Issue number1
StatePublished - Jun 1982


  • Block replacement
  • Marginal cost analysis
  • Minimal repair
  • Preventive replacement
  • Random repair cost
  • Replacement policy

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


Dive into the research topics of 'The Block Replacement Problem with Minimal Repair and Random Repair Costs'. Together they form a unique fingerprint.

Cite this