Waiting time distributions in an M/G/1 retrial queue with two classes of customers
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 5월-2017
- Publisher
- SPRINGER
- Keywords
- Retrial queue with two classes of customers; Queue length; Waiting time; Transform
- Citation
- ANNALS OF OPERATIONS RESEARCH, v.252, no.1, pp.121 - 134
- Indexed
- SCIE
SCOPUS
- Journal Title
- ANNALS OF OPERATIONS RESEARCH
- Volume
- 252
- Number
- 1
- Start Page
- 121
- End Page
- 134
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/83703
- DOI
- 10.1007/s10479-015-1979-1
- ISSN
- 0254-5330
- 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.
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