Abstract
This paper deals with a complex reliability system of main unreliable, spare, and auxiliary spare machines, subject to random breakdowns, repairs, and two replacement policies: one for busy, and another for idle or vacation periods. During vacation periods, when the system performs a mandatory routine maintenance, auxiliary machines are being used for back-ups; the information on the system is naturally delayed. We utilize an analog of the N-policy to restrict the usage of auxiliary machines to some reasonable quantity. Analytically, tractable results are obtained by using a duality principle (which enables us to treat a more rudimentary system), semiregenerative analysis, and the theory of fluctuations of multivariate marked renewal processes. The results are demonstrated in the framework of optimization problems.
| Original language | English |
|---|---|
| Pages (from-to) | 1235-1257 |
| Number of pages | 23 |
| Journal | Mathematical and Computer Modelling |
| Volume | 36 |
| Issue number | 11-13 |
| DOIs | |
| Publication status | Published - 6 Dec 2002 |
| Externally published | Yes |
Keywords
- Closed queues
- Disaster recovery
- Duality
- First exceed level process
- Multichannel queue
- Repairman
- Semi-Markov process
- Semiregenerative process
- Stochastic optimization
- Weak Markov process