Optimal Repair of a 2-Component Series-System with Partially Repairable Components

Michael N. Katehakis, Pravin K. Johri

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A 2-component series system is maintained by one repairman. The up-times of the components are s-independent r.v.'s with exponential distributions. The time required to repair a failed component is the sum of a number of 5-independent, exponential r.v.'s. Components can be partially repaired, and a working component can fail even while the system as a whole is not functioning. The analysis finds repairman allocation policies which maximize the system availability. Under the assumption that it is permissible to reassign the repairman instantaneously among failed components, the explicit form of optimal policies is obtained. And, the optimal policies are characterized when the time for such a reassignment is allowed to be an exponential r.v.

Original languageEnglish (US)
Pages (from-to)427-430
Number of pages4
JournalIEEE Transactions on Reliability
VolumeR-33
Issue number5
DOIs
StatePublished - Dec 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering

Keywords

  • Alternating renewal process
  • Availability
  • Dynamic programming
  • First passage time
  • Policy improvement

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