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An M/G/l queueing system with fixed feedback policy

Published online by Cambridge University Press:  17 February 2009

Bong Dae Choi
Affiliation:
Department of Mathematics and Telecommunication Mathematics Research Center, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul, 136-701, Korea; e-mail: bdchoi@semi.korea.ac.kr.
Bara Kim
Affiliation:
School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta GA 30332-0205, USA; e-mail: bkim@isye.gatech.edu.
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We consider a single server queueing system where each customer visits the queue a fixed number of times before departure. A customer on his j th visit to the queue is defined to be a class-j -customer. We obtain the joint probability generating function for the number of class-j-customers and also obtain the Laplace-Stieltjes transform for the total response time of a customer.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002