- Tytuł:
- Analysis of an MMAP/PH1, PH2/N/∞ queueing system operating in a random environment
- Autorzy:
-
Kim, C.
Dudin, A.
Dudin, S.
Dudina, O. - Powiązania:
- https://bibliotekanauki.pl/articles/330607.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
random environment
marked Markovian arrival process
phase type distribution
Laplace–Stieltjes transform
rozkład fazowy
transformata Laplace'a-Stieltjesa
system operacyjny
system kolejkowy - Opis:
- A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process. Type 1 customers have a non-preemptive priority over type 2 customers and can leave the buffer due to a lack of service. The service times of different type customers have a phase-type distribution with different parameters. To facilitate the investigation of the system we use a generalized phase-type service time distribution. The criterion of ergodicity for a multi-dimensional Markov chain describing the behavior of the system and the algorithm for computation of its steady-state distribution are outlined. Some key performance measures are calculated. The Laplace–Stieltjes transforms of the sojourn and waiting time distributions of priority and non-priority customers are derived. A numerical example illustrating the importance of taking into account the correlation in the arrival process is presented.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 485-501
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł