A matrix geometric solution of a multi-server queue with waiting servers and customers’ impatience under variant working vacation and vacation interruption
| Autor: | Ines Ziad, Vijaya Laxmi, Girija Bhavani, Amina Bouchentouf, Shakir Majid |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Yugoslav Journal of Operations Research. :1-1 |
| ISSN: | 1820-743X 0354-0243 |
| DOI: | 10.2298/yjor220315001z |
| Popis: | This paper deals with a M/M/c queueing system with waiting servers, balking, reneging, and K-variant working vacations subjected to Bernoulli schedule vacation interruption. Whenever the system is emptied, the servers wait for a while before synchronously going on vacation during which services are offered with a lower rate. We obtain the steady-state probabilities of the system using the matrix-geometric method. In addition, we derive important performance measures of the queueing model. Moreover, we construct a cost model and apply a direct search method to get the optimum service rates during both working vacation and regular working periods at lowest cost. Finally, numerical results are provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|