IJPAM: Volume 115, No. 2 (2017)

Title

ANALYSIS OF A HIERARCHICAL STRUCTURED QUEUING
SYSTEM WITH THREE SERVICE CHANNELS, AND
CHANCES OF REPETITION OF SERVICE WITH FEEDBACK

Authors

Surender Kumar$^1$, Gulshan Taneja$^2$
$^{1,2}$Department of Mathematics
Maharshi Dayanand University
Rohtak, INDIA

Abstract

The paper deals with the analysis of a queuing system with three service channels wherein a customer after getting the service from first server may leaves the system or may moves to the second server according as he/she is satisfied with service of first customer or not. However, the customer after getting the service from second or third server may moves to any server or may leaves the system. Repetition of service by a server may also be there but allowed only once. The steady-state equations have been derived for finding mean queue length using generating function technique.

History

Received: March 25, 2017
Revised: May 24, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 90B22
Key Words and Phrases: queuing system, reversibility, feedback, mean queue length

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Bibliography

A. Kumar (1990), On feed back in the network queues with service rates proportional to their queue numbers, JISSOR, 11, 29-42. P.C. Garg and S. Kumari (1998), A note on time dependent solution for a bulk queue with feedback, IJIMS, 9 (3), 59-67. Garg and Srivastava (2006), A measure for time dependent queueing system with feedback and service in batches of variable size, IJMS, 5 (1), 109-119. Kusum et al. (2010), Feedback queue model assumed service rate proportional to queue numbers, AJMI, 2 (1), 103-110. Huang et al. (2015), Control of patient flow in emergency departments or multiclass queues with deadlines and feedback, Operations Research: Informs, 63 (4). Raheja et al. (2016), Designing a vague logic based multi-level feedback queue scheduler, Egyptian Informatics, 17 (1), 125-137.

How to Cite?

DOI: 10.12732/ijpam.v115i2.15 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: 2
Pages: 383 - 398


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