анализ сетей массового обслуживания.

Queueing networks with batch movements of customers, blocking and clusters

 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

 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.