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A modified block replacement policy with two variables and general random minimal repair cost

Part of: Operations research and management science Survival analysis and censored data Special processes

Published online by Cambridge University Press:  14 July 2016

Shey-Huei Sheu
Shey-Huei Sheu*
Affiliation:
National Taiwan Institute of Technology
*
∗Postal address: Department of Industrial Management, National Taiwan Institute of Technology, Taipei, Taiwan.
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Abstract

This paper considers a modified block replacement with two variables and general random minimal repair cost. Under such a policy, an operating system is preventively replaced by new ones at times kT (k= 1, 2, ···) independently of its failure history. If the system fails in [(k − 1)T, (k − 1)T+ T0) it is either replaced by a new one or minimally repaired, and if in [(k − 1) T + T0, kT) it is either minimally repaired or remains inactive until the next planned replacement. The choice of these two possible actions is based on some random mechanism which is age-dependent. The cost of the ith minimal repair of the system at age y depends on the random part C(y) and the deterministic part ci (y). The expected cost rate is obtained, using the results of renewal reward theory. The model with two variables is transformed into a model with one variable and the optimum policy is discussed.

Keywords

MAINTENANCERELIABILITYSYSTEMS

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.) 62N05: Reliability and life testing
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 2 , September 1996 , pp. 557 - 572
Copyright
Copyright © Applied Probability Trust 1996 

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