Optimal maintenance policy for equipment subject to random deterioration and random failure A modern control theory approach
作者:
MANSOOR ALAM,
J. W. LYNN,
V. V. S. SARMA,
期刊:
International Journal of Systems Science
(Taylor Available online 1976)
卷期:
Volume 7,
issue 9
页码: 1071-1080
ISSN:0020-7721
年代: 1976
DOI:10.1080/00207727608941989
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The stochastic version of Pontryagin's maximum principle is applied to determine an optimal maintenance policy of equipment subject to random deterioration. The deterioration of the equipment with age is modelled as a random process. Next the model is generalized to include random catastrophic failure of the equipment. The optimal maintenance policy is derived for two special probability distributions of time to failure of the equipment, namely, exponential and Weibull distributions Both the salvage value and deterioration rate of the equipment are treated as state variables and the maintenance as a control variable. The result is illustrated by an example.
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