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International Journal of Management, IT and Engineering
Year : 2019, Volume : 9, Issue : 2
First page : ( 22) Last page : ( 33)
Online ISSN : 2249-0558.

Single server feedback Markovian queueing system with impatient customers and two types of vacations

Marichamy S.*,****, Rajaram S.**, Kalidass K.***

*Research Scholar, Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli, India

**Department of Mathematics, Sri. S.R.N.M. College, Sattur-626203, India

***Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore-641021, Tamil Nadu, India

****Assistant Professor, Department of Mathematics, Apollo Engineering College, Chennai-602103

Online published on 24 October, 2019.

Abstract

We consider an queue with two types of vacations and Bernoulli feedback simultaneously. During both vacations, the customers become impatient. That is whenever a customer arrives at the system it activates an ’impatience timer’. If the customer's service has not been completed before the customer's timer expire, the customer leaves the queue and never return. The stationary probability distribution of the system studied by probability generating function technique and some performance measures are also derived.

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Keywords

Markovian Queue, Vacations, Feedbacks, Impatient Customers.

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