A random walk model for a multi-component deteriorating system

Autor(en): Stadje, W 
Zuckerman, D
Stichwörter: control-limit policy; deterioration; long-run average reward; MAINTENANCE MODELS; multi-component system; Operations Research & Management Science; PARALLEL SYSTEM; RANDOM ENVIRONMENT; random walk; replacement; REPLACEMENT-PROBLEM
Erscheinungsdatum: 2001
Herausgeber: ELSEVIER SCIENCE BV
Journal: OPERATIONS RESEARCH LETTERS
Volumen: 29
Ausgabe: 5
Startseite: 199
Seitenende: 205
Zusammenfassung: 
We consider a Markovian l-unit system which is subject to shocks causing it to deteriorate in each of its stochastically dependent components. The net reward produced by the system is assumed to be an l-dimensional function of the amounts of deterioration of the components. After every shock the controller has the option to replace the system by a new one. The objective is to maximize the long-run average reward. Under natural conditions we prove the existence of an optimal control-limit policy and the unimodality of the long-term reward as a function of the threshold value. (C) 2002 Elsevier Science B.V. All rights reserved.
ISSN: 01676377
DOI: 10.1016/S0167-6377(01)00109-2

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