Abstract
We consider the problem of estimation and confidence interval construction of a Markovian controllable queueing system with unreliable server and constant retrial policy. For the fully observable system the standard parametric estimation technique is used. The arrived customer finding a free server either gets service immediately or joins a retrial queue. The customer at the head of the retrial queue is allowed to retry for service. When the server is busy, it is subject to breakdowns. In a failed state the server can be repaired with respect to the threshold policy: the repair starts when the number of customers in the system reaches a fixed threshold level. To obtain the estimates for the system parameters, performance measures and optimal threshold level we analyze the system in a stationary regime. The performance measures including average cost function for the given cost structure are presented in a closed matrix form.
| Original language | English |
|---|---|
| Article number | 1550046 |
| Number of pages | 12 |
| Journal | Asia-Pacific Journal of Operational Research |
| Volume | 32 |
| Issue number | 06 |
| DOIs | |
| Publication status | Published - 2015 |
Fields of science
- 101 Mathematics
- 101014 Numerical mathematics
- 101018 Statistics
- 101019 Stochastics
- 101024 Probability theory
JKU Focus areas
- Computation in Informatics and Mathematics
- Engineering and Natural Sciences (in general)