Title

ANALYSIS OF TWO-PHASE QUEUING SYSTEM WITH
IMPATIENT CUSTOMERS, SERVER BREAKDOWNS
AND DELAYED REPAIR

Authors

S. Hanumantha Rao, V. Vasanta Kumar,
B. Srinivasa Kumar, T. Srinivasa Rao
Vignan's Foundation for Science
Technology and Research University
Vadlamudi, 522213, Guntur (Dt), Andhra Pradesh, INDIA
K.L. University
Vaddeswaram, 522502, Guntur (Dt), Andhra Pradesh, INDIA

Abstract

We study a two-phase Markovian queueing model where the first phase of service is for all waiting customers in batch mode and second phase of service is in individual mode to each of them. The server may breakdown during any phase of service and may not be repaired immediately due to non-availability of the repair facility. Arriving customers may balk with certain probability and may depart after joining the queue without getting the service due to impatience. Customers reneging is assumed to occur when the server is in individual service or during breakdown rate of individual service. We derive the probability generating functions for the number of customers present in the system when the server is in different states. Further, closed form of expressions for the mean system size for various states of the server, balking rate, reneging rate and loss rate are derived. Numerical examples are presented.

History

Received: June 18, 2016
Revised: April 27, 2017
Published: August 10, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: two-phase, breakdowns, delayed repair, balking, reneging

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v115i4.1 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: 2017
Volume: 115
Issue: 4
Pages: 651 - 663

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

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