Transient analysis of a two-heterogeneous servers queue with impatient behavior

Sherif Ibrahim Ammar

37 citations0/0 files storedJournal of the Egyptian Mathematical Society

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Advanced Queuing Theory Analysis Optimization and Search Problems Age of Information Optimization

Abstract

Recently, [1] have obtained the transient solution of multi-server queue with balking and reneging. In this paper, a similar technique is used to drive a new elegant explicit solution for a two heterogeneous servers queue with impatient behavior. In addition, steady-state probabilities of the system size are studied and some important performance measures are discussed for the considered system.

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References

2009Transient solution of the M/M/c queue with balking and reneging 1970Two-Server Markovian Queues with Balking: Heterogeneous vs. Homogeneous Servers 1981Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers 2009Advances in Queueing Theory and Network Applications 2005An M/M/2 queueing system with heterogeneous servers and multiple vacations

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2016Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers’ impatience 2017Heterogeneous two-server queueing system with reverse balking and reneging 2020Single server multiple vacation queue with discouragement solve by confluent hypergeometric function 2015Balking and Reneging Multiple Working Vacations Queue with Heterogeneous Servers 2019Modelling and optimisation of a two-server queue with multiple vacations and working breakdowns 2020Transient Solution of Multiple Vacation Queue with Discouragement and Feedback

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