Regeneration in tandem queues

Esa Nummelin

34 citations0/0 files storedAdvances in Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Stochastic processes and statistical mechanics

Abstract

Consider a tandem queue with renewal input process and i.i.d. service times (at each server). This paper is concerned with the construction of regeneration times for the multivariate Markov chain formed by the interarrival times, waiting times and service times of the customers.

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References

1976On Regenerative Processes in Queueing Theory 1972Embedded renewal processes in theGI/G/squeue

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1994Stochastic optimization of regenerative systems using infinitesimal perturbation analysis 2000Simulation optimization of buffer allocations in production lines with unreliable machines 1988Regeneration in tandem queues with multiserver stations 1993Regenerative derivatives of regenerative sequences

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