групповые переходы требований

Analysis of Heterogeneous Queueing Networks with Batch Movements of Customers

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

Closed exponential queueing network with different classes of customers and batch movements is considered. To model evolution of given network Markov chains are used. Two approaches to stationary distribution calculation for given type queueing networks are presented. Formulas for basic stationary characteristics are given.

Method for Analysis of Closed Queueing Networks with Discrete Time, Batch Movements of Customers and Dynamic Control of Service Rates

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

The closed queueing networks with single class of customers, discrete time and batch movements of customers are considered. Queues include multiple identical servers with geometric distribution of service times. A method for dynamic control of service rates in queues is proposed. The control is realized by use of different service rates during fixed time intervals in process of networks operation. When this method is used in queueing networks of considered type, close to given customer allocation among queueing systems is provided.

Dynamic load allocation in closed queueing networks with batch movements

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

A method of load allocation control in closed queueing networks with batch movements is proposed. When this method is used in queueing networks of considered type, close to given customer allocation among queueing systems is provided. The control is realized by use of different routing matrices during fixed time intervals in process of network operation. Models of evolution and an approximate method of computing a stationary distribution and other stationary characteristics of considered type queueing networks are presented.

 

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.