Exact Transient Solution of a Discrete Time Queue with State-Dependent Rates

P.R. Parthasarathy · Ramupillai Sudhesh

12 citations0/0 files storedAmerican Journal of Mathematical and Management Sciences

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

SYNOPTIC ABSTRACTExact expressions are obtained in closed form for the time-dependent system size probabilities of a discrete queue with state-dependent arrival and service rates. The underlying difference equations of system size probabilities is converted into a continued fraction which is then expressed as a power series. As a special case we derive a Geo/Geo/1 queue. Numerical illustrations are presented.

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1995Queueing analysis: A foundation of performance evaluation 1993Discrete-Time Models for Communication Systems Including ATM

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2014Transient analysis of an M/M/1 queue with multiple vacations 2020Transient Analysis of a Markov Queueing Model with Feedback, Discouragement and Disaster 2011Time dependent analysis of M/M/ 1 queue with server vacations and a waiting server

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