Waiting time distributions in an M/G/1 retrial queue with two classes of customers

Bara Kim; Jeongsim Kim

doi:10.1007/s10479-015-1979-1

Waiting time distributions in an M/G/1 retrial queue with two classes of customers

Bara Kim, Jeongsim Kim

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We consider an (Formula presented.) 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
Journal	Annals of Operations Research
DOIs	https://doi.org/10.1007/s10479-015-1979-1
Publication status	Accepted/In press - 2015 Aug 25

Fingerprint

Waiting time

Queue

Queueing system

Keywords

Queue length
Retrial queue with two classes of customers
Transform
Waiting time

ASJC Scopus subject areas

Management Science and Operations Research
Decision Sciences(all)

Cite this

Kim, B., & Kim, J. (Accepted/In press). Waiting time distributions in an M/G/1 retrial queue with two classes of customers. Annals of Operations Research. https://doi.org/10.1007/s10479-015-1979-1

Waiting time distributions in an M/G/1 retrial queue with two classes of customers. / Kim, Bara; Kim, Jeongsim.

In: Annals of Operations Research, 25.08.2015.

Research output: Contribution to journal › Article

Kim, B & Kim, J 2015, 'Waiting time distributions in an M/G/1 retrial queue with two classes of customers', Annals of Operations Research. https://doi.org/10.1007/s10479-015-1979-1

Kim B, Kim J. Waiting time distributions in an M/G/1 retrial queue with two classes of customers. Annals of Operations Research. 2015 Aug 25. https://doi.org/10.1007/s10479-015-1979-1

Kim, Bara ; Kim, Jeongsim. / Waiting time distributions in an M/G/1 retrial queue with two classes of customers. In: Annals of Operations Research. 2015.

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10.1007/s10479-015-1979-1