Alam, Mansoor and Lynn, JW and Sarma, VVS (1976) Optimal maintenance policy for equipment subject to random deterioration and random failure A modern control theory approach. In: International Journal of Systems Science, 7 (9). pp. 1071-1080.
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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
| Item Type: | Journal Article |
|---|---|
| Publication: | International Journal of Systems Science |
| Publisher: | Taylor and Francis Group |
| Additional Information: | Copyright of this article belongs to Taylor and Francis Group. |
| Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering |
| Date Deposited: | 10 Dec 2009 10:35 |
| Last Modified: | 10 Dec 2009 10:35 |
| URI: | http://eprints.iisc.ac.in/id/eprint/24162 |
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