- Tytuł:
- Analysis of a single server queue in a multi-phase random environment with working vacations and customers’ impatience
- Autorzy:
-
Bouchentouf, Amina Angelika
Guendouzi, Abdelhak
Houalef, Meriem
Majid, Shakir - Powiązania:
- https://bibliotekanauki.pl/articles/2175837.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
- Tematy:
-
queueing model
multi-phase random environment
working vacation policies
impatient customer
probability generating function - Opis:
- In this paper, we analyze an M/M/1 queueing system under both single and multiple working vacation policies, multiphase random environment, waiting server, balking and reneging. When the system is in operative phase j = 1, 2, . . . , K, customers are served one by one. Whenever the system becomes empty, the server waits a random amount of time before taking a vacation, causing the system to move to working vacation phase 0 at which new arrivals are served at a lower rate. Using the probability generating function method, we obtain the distribution for the steady-state probabilities of the system. Then, we derive important performance measures of the queueing system. Finally, some numerical examples are illustrated to show the impact of system parameters on performance measures of the queueing system.
- Źródło:
-
Operations Research and Decisions; 2022, 32, 2; 16--33
2081-8858
2391-6060 - Pojawia się w:
- Operations Research and Decisions
- Dostawca treści:
- Biblioteka Nauki
Artykuł