IJPAM: Volume 106, No. 8 (2016)

A REVIEW ON CLASSICAL BULK ARRIVAL AND
BATCH SERVICE QUEUEING MODEL

S.P. Niranjan$^1$, K. Indhira$^2$
$^{1,2}$Department of Mathematics
School of Advanced Sciences
VIT University
Vellore-14, Tamil Nadu, INDIA


Abstract. This article reviews about research work done in the area of bulk arrival and batch service queueing models. The concept of bulk arrivals and batch service has gained a tremendous significance in real life situations. To avoid congestion problem researches have to focus their attention to develop models and procedures to deal with the problems. In many of the industries particularly in production line, mathematical modelling of queueing model is essential to reduce congestion problems. This survey attempts to review the work done in the area of bulk queues with vacations, modelling various phenomenons. This paper aims to provide enough information to analysts, researchers and industry people to model congestion problems and need to derive various performance measures to optimize the queueing model.

Received: February 15, 2016

AMS Subject Classification: 60K25, 90B22,68M20

Key Words and Phrases: classical queueing model, bulk arrival, batch service, renovation time

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DOI: 10.12732/ijpam.v106i8.7 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: 8
Pages: 45 - 52


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