Transient Analysis of a Two-Unit Standby System with Markovian Degrading Units

Frank A. Van der Duyn Schouten and Pieter Wartenhorst
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Frank A. Van der Duyn Schouten: CWI, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands and Faculty of Economics, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands
Pieter Wartenhorst: McKinsey & Company, Amstel 344, 1017 AS Amsterdam, The Netherlands

Management Science, 1994, vol. 40, issue 3, 418-428

Abstract: A two-unit cold standby system with Markovian degrading units and one repair facility is considered. Two types of repair are possible: preventive and corrective, where the latter is supposed to be more time consuming than the first. The system is controlled by a repair policy of control limit type: a preventive repair on the working unit is carried out as soon as the state of this unit exceeds a certain threshold unless the repair facility is occupied by the other unit. In this paper we derive explicit expressions for the Laplace transforms of the up- and down-periods of this system, which provide insight in the availability of the system and which can be used to obtain approximations for the interval availability distribution. An iterative numerical procedure is presented for the special case of generalized Erlangian distributed repair times.

Keywords: repairable systems; single repair facility; preventive maintenance; corrective maintenance; cold standby; Markovian degradation; transient behavior; interval availability (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:40:y:1994:i:3:p:418-428

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