Nonstationary queues:Estimation of the rates of convergence

Details Nonstationary queues:Estimation of the rates of convergence Nonstationary queues:Estimation of the rates of convergence

2003-11-10

arxiv.org/abs/math/0311142v1

Queuing systems 46, 363-388 (2004)

Mathematics

Probability

Scientific paper

The paper is devoted to the estimation of the rate of of exponential convergence of nonhomogeneous queues exhibiting different types of ergodicity. The main tool of our study is the method, which was proposed by the second author in the late 1980-s and was subsequently extended and developed in different directions in a series of joint papers by the authors of the present paper. The method originated from the idea of Gnedenko and Makarov to employ the logarithmic norm of a matrix to the study of the problem of stability of nonhomogeneous Markov chains. In the present paper, we apply the method to a class of Markov queues with a special form of nonhomogenuity that is common in applications.

Affiliated with

Also associated with

No associations

Rating

Nonstationary queues:Estimation of the rates of convergence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonstationary queues:Estimation of the rates of convergence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonstationary queues:Estimation of the rates of convergence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51157