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Approximate Analysis of A Single Server Queue with Unit Step Function

Author Affiliations

  • 1Department of Mathematics, Maharishi Markandeshwar University, Mullana-133203, INDIA

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (10), Pages 1-4, October,12 (2014)

Abstract

This study analyzed a single server queueing model with a time dependent arrival rate and service rate is constant. In this model, the incoming arrivals are Poisson stream, service times are negative exponentially distributed and the first come first served queueing discipline. We obtain an explicit expression for the state probability distribution with time dependent arrival rate using unit step function. For a special form of the traffic intensity, If the service rate is constant (= ), this corresponds to

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