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 | Enthalten in: | OPERATIONS RESEARCH LETTERS | Band: | 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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geprüft am 07.06.2024