Transient analysis of a queue where potential customers arediscouraged by queue length

P.R. Parthasarathy · N. Selvaraju

35 citations0/0 files storedMathematical Problems in Engineering

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

Abstract

The transient solution is obtained analytically using continued fractions for a state‐dependent birth‐death queue in which potential customers are discouraged by the queue length. This queueing system is then compared with the well‐known infinite server queueing system which has the same steady state solution as the model under consideration, whereas their transient solutions are different. A natural measure of speed of convergence of the mean number in the system to its stationarity is also computed.

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2011A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging 2017A state-dependent queueing system with asymptotic logarithmic distribution 2020On Probability Characteristics for a Class of Queueing Models with Impatient Customers 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 2014Transient solution of a multi-server queue with catastrophes and impatient customers when system is down

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