ON DEVIATION MATRICES FOR BIRTH–DEATH PROCESSES

Authors:
G. M. Koole;F. M. Spieksma
Affiliations:
Division of Mathematics and Computer Science, Vrije Universiteit, 1081HV Amsterdam, The Netherlands, E-mail: koole@cs.vu.nl;Mathematical Institute, University of Leiden, 2300RA Leiden, The Netherlands, E-mail: spieksma@math.leidenuniv.nl
Venue:
Probability in the Engineering and Informational Sciences
Year:
2001

Citing 2
Cited 2

Separable routing: a scheme for state-dependent routing of circuit switched telephone traffic

Annals of Operations Research - Special issue on stochastic modeling of telecommunication systems
On the value function of a priority queue with an application to a controlled polling model

Queueing Systems: Theory and Applications

THE DEVIATION MATRIX OF A CONTINUOUS-TIME MARKOV CHAIN

Probability in the Engineering and Informational Sciences
Transform-Domain solutions of poisson's equation with applications to the asymptotic variance

ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

We study deviation matrices of birth–death processes. This is relevant to the control of multidimensional queueing systems. We give an algorithm for computing deviation matrices for birth–death processes. As an application, we compute them explicitly for the M/M/s/N and M/M/s/∞ queues.