Optimal age-replacement time with minimal repair based on cumulative repair cost limit and random lead time
- 24 June 2009
- journal article
- research article
- Published by Informa UK Limited in International Journal of Systems Science
- Vol. 40 (7), 703-715
- https://doi.org/10.1080/00207720902953144
Abstract
In this article, we consider an age-replacement model with minimal repair based on a cumulative repair cost limit and random lead time for replacement delivery. A cumulative repair cost limit policy uses information about a system's entire repair cost history to decide whether the system is repaired or replaced; a random lead time models delay in delivery of a replacement once it is ordered. A general cost model is developed for the average cost per unit time based on the stochastic behaviour of the assumed system, reflecting the costs of both storing a spare and of system downtime. The minimum-cost policy time is derived, its existence and uniqueness is shown, and structural properties are presented. Various special cases are included. Because the framework and analysis are general, the proposed model extends several existing results. Finally, a numerical example is provided for illustration.Keywords
This publication has 44 references indexed in Scilit:
- Number-dependent replacement model with random lead-time for systems under maintenance continuouslyInternational Journal of Systems Science, 2008
- Optimal age-replacement policy with age-dependent minimal-repair and random-leadtimeIEEE Transactions on Reliability, 2001
- A modified block replacement policy with two variables and general random minimal repair costJournal of Applied Probability, 1996
- Optimal number of minimal repairs before replacement of a system subject to shocksNaval Research Logistics (NRL), 1996
- Some replacement policies with minimal repairs and repair cost limitInternational Journal of Systems Science, 1989
- Optimal number of minor failures before replacementInternational Journal of Systems Science, 1987
- A Combined Block and Repair Limit Replacement PolicyJournal of the Operational Research Society, 1984
- Replacement Policies under Minimal RepairJournal of the Operational Research Society, 1981
- A Note on the Repair Limit Replacement PolicyJournal of the Operational Research Society, 1980
- An Economic Replacement ModelJournal of the Operational Research Society, 1967