Optimal maintenance of systems subject to deterioration of the renewal type (Q597345)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Optimal maintenance of systems subject to deterioration of the renewal type |
scientific article; zbMATH DE number 2082655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal maintenance of systems subject to deterioration of the renewal type |
scientific article; zbMATH DE number 2082655 |
Statements
Optimal maintenance of systems subject to deterioration of the renewal type (English)
0 references
6 August 2004
0 references
This paper investigates systems subject to shocks, which arrive according to a Poisson process and cause some damage. If the accumulated damage exceeds a threshold \(Y\), the system fails and is replaced at constant cost \(c\). Moreover, the system is preventively replaced at cost \(g(x)\), if the damage exceeds a fixed level \(x\). Using as objective functions the total discounted cost and the long run average cost, respectively, optimal solutions with respect to the level \(x\) are stated.
0 references
renewal process
0 references
total discounted cost
0 references
long run average cost
0 references
