Analysis of MAP/M/1 queue with working breakdowns

Liwei Liu

18 citations0/0 files storedCommunication in Statistics- Theory and Methods

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Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Probability and Risk Models

Abstract

In this paper, we analyze the MAP/M/1 queue with working breakdowns. The number of customers in the system in the steady state is obtained by the matrix geometric solution method. Then, several useful performance measures are provided. Furthermore, we show a recursive formula to obtain an approximation of stationary sojourn time. At last, we present several numerical examples.

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References

1991New results on the single server queue with a batch markovian arrival process 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.2011Wiley encyclopedia of operations research and management science 1989Introduction to Queuing Theory 2013Fundamentals of Matrix-Analytic Methods 2001The Batch Markovian Arrival Process: A Review and Future Work 1963Some Queuing Problems with the Service Station Subject to Breakdown 1992Models Based on the Markovian Arrival Process

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2021Sojourn times in a Markovian queue with working breakdowns and delayed working vacations 2021ANFIS and Cost Optimization for Markovian Queue with Operational Vacation 2021Joining strategies of noncooperative and cooperative in a single server retrial queue with N -policy and multiple server vacations

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