Abstract
We consider an M/ G/ 1 retrial queueing system with two classes of customers, in which the service time distributions are different for both classes of customers. When the server is unavailable, an arriving class-1 customer is queued in the queue with infinite capacity, whereas class-2 customer enters the retrial group. In this paper, we are concerned with the analysis of the waiting time distribution. We obtain the joint transform of the waiting time of a class-2 customer and the number of class-2 customers as well as the Laplace–Stieltjes transform of the waiting time of a class-1 customer. We also obtain all the moments of the waiting time distributions of class-1 and class-2 customers.
Original language | English |
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Pages (from-to) | 121-134 |
Number of pages | 14 |
Journal | Annals of Operations Research |
Volume | 252 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2017 May 1 |
Keywords
- Queue length
- Retrial queue with two classes of customers
- Transform
- Waiting time
ASJC Scopus subject areas
- Decision Sciences(all)
- Management Science and Operations Research