IJPAM: Volume 106, No. 5 (2016)
RETENTION OF RENEGING CUSTOMERS






Kavaraipettai, 601 206, Tamil Nadu, INDIA

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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This work is licensed under the Creative Commons Attribution International License (CC BY).