most citedMarkov-modulated M/G/1 type queue in heavy traffic and its application to time-sharing disciplines

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2015★ 2 cited

Markov-modulated M/G/1 type queue in heavy traffic and its application to time-sharing disciplines

H. Thorsdottir, I. M. Verloop

This paper deals with a single-server queue with modulated arrivals, service requirements and service capacity. In our first result, we derive the mean of the total workload assumi…

math.PR2013

A functional central limit theorem for a Markov-modulated infinite-server queue

D. Anderson, J. Blom, M. Mandjes +2

The production of molecules in a chemical reaction network is modelled as a Poisson process with a Markov-modulated arrival rate and an exponential decay rate. We analyze the distr…