Some effects of nonstationarity on multiserver Markovian queueing systems
Operations Research
Strong approximations for time-dependent queues
Mathematics of Operations Research
Generating function analysis of some joint distributions for Poisson loss systems
Queueing Systems: Theory and Applications
Some universal limits for nonhomogeneous birth and death processes
Queueing Systems: Theory and Applications
Transient and periodic solution to the time-inhomogeneous quasi-birth death process
Queueing Systems: Theory and Applications
Mean characteristics of Markov queueing systems
Automation and Remote Control
Some bounds for M(t)/M(t)/S queue with catastrophes
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
On the speed of convergence to stationarity of the Erlang loss system
Queueing Systems: Theory and Applications
On Mn(t)/Mn(t)/S queues with catastrophes
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
On the nonstationary Erlang loss model
Automation and Remote Control
Large-time asymptotics for the Gt/Mt/st+GIt many-server fluid queue with abandonment
Queueing Systems: Theory and Applications
Stability bounds for Mt/Mt/N/N + R queue
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Perturbation bounds and truncations for a class of Markovian queues
Queueing Systems: Theory and Applications
| Hi-index | 0.00 |
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 1980s 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.