Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Belgrade
2021-01-01
|
| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100003B.pdf |
| Summary: | We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system. |
|---|---|
| ISSN: | 0354-0243 1820-743X |