Transient analysis of an M/M/1 queue with multiple vacations

Kaliappan Kalidass · Kasturi Ramanath

10 citations0/0 files storedPakistan Journal of Statistics and Operation Research

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Advanced Queuing Theory Analysis Probability and Statistical Research Age of Information Optimization

Abstract

In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems

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References

1986Queueing systems with vacations ? A survey 2006Vacation Queueing Models Theory and Applications 2000Transient solution of an M/M/1 queue with catastrophes 1954A Continuous Time Treatment of a Simple Queue using Generating Functions 1991Vacation and priority systems 2007Transient analysis of a single server queue with catastrophes, failures and repairs 2010Transient analysis of a queue with system disasters and customer impatience 1985Transient exponential-Erlang queues and steady-state simulation

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