Impatient customers in an M/M/c queue with single and multiple synchronous working vacations

Shakir Majid Ganie, P Manoharan

Abstract


In this paper, an M/M/c queuing model with synchronous working vacation and impatient
customers is considered.The model is analyzed for two vacation policies i.e multiple working
vacation(MWV) policy and single working vacation(SWV) policy.The servers serve the customers at a slower rate than the normal busy period during a working vacation and this becomes
the cause of customers impatience.The M/M/c queue with two such policies is described and
using the PGF method, we obtain various system performance measures in terms of two indicators.we have derived some results relating to the limiting behavior of some performance
measures.At the end of each model, we have presented some numerical examples to demonstrate the effects of system parameters on some performance measures.Finally, a comparison
between the two models is carried out

Keywords


M/M/c queue, synchronous Working vacation, Impatient customers, Generating function.

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DOI: http://dx.doi.org/10.18187/pjsor.v14i3.1866

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Title

Impatient customers in an M/M/c queue with single and multiple synchronous working vacations

Keywords

M/M/c queue, synchronous Working vacation, Impatient customers, Generating function.

Description

In this paper, an M/M/c queuing model with synchronous working vacation and impatient customers is considered.The model is analyzed for two vacation policies i.e multiple working vacation(MWV) policy and single working vacation(SWV) policy.The servers serve the customers at a slower rate than the normal busy period during a working vacation and this becomes the cause of customers impatience.The M/M/c queue with two such policies is described and using the PGF method, we obtain various system performance measures in terms of two indicators.we have derived some results relating to the limiting behavior of some performance measures.At the end of each model, we have presented some numerical examples to demonstrate the effects of system parameters on some performance measures.Finally, a comparison between the two models is carried out

Date

2018-09-22

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 14 No. 3, 2018



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810