Algorithmic analysis of a multiserver markovian queue with primary and secondary services

Authors

Valentina I. Klimenok, Belarusian State UniversityFollow
Srinivas R. Chakravarthy, Kettering UniversityFollow
Alexander N. Dudin, Belarusian State UniversityFollow

Document Type

Article

Publication Date

10-2005

Publication Title

Computers & Mathematics with Applications

Abstract

We consider a multiserver retrial queueing model with applications in service industries, in which customers arrive according to a Markovian arrival process (MAP). Any admitted customer either

(a) gets service and leaves the system as a satisfied primary customer; or

(b) gets service and becomes a secondary customer.

The secondary customers leave the system either as satisfied or unsatisfied with their services. In this paper, we perform the steady state analysis of the model and also study the algorithmic aspects of this queueing model including an optimization problem.

Volume

50

Issue

Issues 8–9

First Page

1251

Last Page

1270

DOI

10.1016/j.camwa.2005.06.002

ISSN

0898-1221

Comments

A part of this paper was presented at the eighteenth Balarussian winter workshop in queueing theory held in Minsk, Belarus, February 22–24, 2005.

Rights

© 2005 Published by Elsevier Ltd.

Recommended Citation

Klimenok, Valentina I.; Chakravarthy, Srinivas R.; and Dudin, Alexander N., "Algorithmic analysis of a multiserver markovian queue with primary and secondary services" (2005). Industrial & Manufacturing Engineering Publications. 102.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/102