IJPAM: Volume 106, No. 5 (2016)

RETRIAL QUEUEING SYSTEM WITH
RETENTION OF RENEGING CUSTOMERS

S. Pavai Madheswari$^1$, P. Suganthi$^2$, S.A. Josephine$^3$
$^1$Department of Computer Science and Engineering
$^2$Department of Mathematics
$^{1,2}$R.M.K. Engineering College
Kavaraipettai, 601 206, Tamil Nadu, INDIA
$^{3}$Department of Mathematics
Loyala-ICAM College of Engineering and Technology
Nungambakkam, Chennai-34, INDIA


Abstract. Managing customer impatience plays a vital role in improving the efficiency of queueing systems. Reneging of impatient customers leads to loss of potential customers, which results in the loss of business. A reneged customer can be retained in many cases by employing various convincing strategies to continue in the queue until completion of service. In this paper we present an analysis of a single server retrial queue with retention of reneging customers from the orbit. The generating function technique has been used to derive the steady state probabilities of the system. Performance measures have been derived and system efficiency discussed by numerical results and graphical illustrations to demonstrate how the various parameters influence the behavior of the system. Some of the existing results have been deduced.

Received: January 23, 2016

AMS Subject Classification: 60K25, 60K30, 90B22

Key Words and Phrases: retrial queues, reneging, retention, Kummer confluent function

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DOI: 10.12732/ijpam.v106i5.2 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 5
Pages: 11 - 20


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