analysis of queueing networks.

An Analysis of Queueing Networks with Dynamic Routing Control

Authors: Mitrophanov Y. I., Fokina N. P.

A method for analysis of closed exponential queueing networks with one class of customers and central dynamic routing control is proposed. The method of control is based on a use of different routing matrices during fixed time intervals in the network operation process. The method for analysis is based on a description of the network operation process with model Markov chains. An example of analysis of this type network is given.

Queueing networks with batch movements of customers, blocking and clusters

Authors: Mitrophanov Y. I., Dolgov V. I., Rogachko E. S., Stankevich E. P.

 Two types queueing networks with batch movements of customers – networks with blocking and networks with clusters are investigated. Product form stationary distribution for networks with blocking of transitions in states, in which the number of customers in queueing systems exceeds given values, is derived. For queueing networks with disjoint clusters of systems the problem of analyzing is solved and the product form stationary distribution is found. Examples of analysis of the network with blocking and the network with clusters are presented. 

Analysis of closed unreliable queueing networks with batch movements of customers

Authors: Tananko I. E., Fokina N. P.

 Closed unreliable queueing network with batch movements is considered. The main result of the paper is the steady state distribution for given type queueing networks.