- Tytuł:
- Analysis of an MAP/PH/1 queue with flexible group service
- Autorzy:
-
Brugno, A.
D’Apice, C.
Dudin, A.
Manzo, R. - Powiązania:
- https://bibliotekanauki.pl/articles/330419.pdf
- Data publikacji:
- 2017
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
queueing system
batch service
multirate service
stationary distribution
optimization
system kolejkowy
usługa wsadowa
usługa wielotaryfowa
rozkład stacjonarny - Opis:
- A novel customer batch service discipline for a single server queue is introduced and analyzed. Service to customers is offered in batches of a certain size. If the number of customers in the system at the service completion moment is less than this size, the server does not start the next service until the number of customers in the system reaches this size or a random limitation of the idle time of the server expires, whichever occurs first. Customers arrive according to a Markovian arrival process. An individual customer’s service time has a phase-type distribution. The service time of a batch is defined as the maximum of the individual service times of the customers which form the batch. The dynamics of such a system are described by a multi-dimensional Markov chain. An ergodicity condition for this Markov chain is derived, a stationary probability distribution of the states is computed, and formulas for the main performance measures of the system are provided. The Laplace–Stieltjes transform of the waiting time is obtained. Results are numerically illustrated.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 119-131
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł