Approximations of retrial queue with limited number of retrials

Authors:
Yang Woo Shin;Dug Hee Moon
Affiliations:
Department of Statistics, Changwon National University, Changwon, Gyeongnam 641-773, Republic of Korea;Department of Industrial and Systems Engineering, Changwon National University, Changwon, Gyeongnam 641-773, Republic of Korea
Venue:
Computers and Operations Research
Year:
2010

Citing 4
Cited 0

Almost sure comparison of birth and death processes with application to M/M/s queueing systems

Queueing Systems: Theory and Applications
Numerical investigation of a multiserver retrial model

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Monotonicity properties in various retrial queues and their applications

Queueing Systems: Theory and Applications
Service station factors in monotonicity of retrial queues

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.01

Visualization

Abstract

We consider the retrial queues in which the number of retrials of each customer is limited by a finite number, say m. If a customer fails to enter the service facility at the mth retrial, then the customer leaves the system forever without service. Approximation formulae for the distributions of queue length process, waiting time and the number of retrials made by a customer during his waiting time are derived by the approach in Fredericks and Reisner [10]. Some monotonicity properties are also presented.