Queueing systems with service interruptions II

Awi Federgruen · Linda Green

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Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Age of Information Optimization

Abstract

We present an exact solution method for a single-server queueing system which alternates between periods in which service can be provided (on-periods) and periods in which the server is out of operation (off-periods). The arrival process is Poisson, on-periods are assumed to have a phase-type distribution, and service times and off-periods are assumed to be arbitrary.

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References

1984Matrix-Geometric Solutions to Stochastic Models 1987Stochastic Modelling and Analysis: A Computational Approach.1987An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking 1979A gradient technique for general buffer storage design in a production line 1983Modeling and Analysis of Three-Stage Transfer Lines with Unreliable Machines and Finite Buffers 1986Queueing Systems with Service Interruptions

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1989Optimal time to repair a broken server 2008A class of multi-server queueing system with server failures 2007Approximate mean waiting time in a GI / D /1 queue with autocorrelated times to failures 1997Analysis of a single server queue with semi-Markovian service interruption 1994Reliability analysis of M/G/1 queueing system with repairable service station of reliability series structure

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