analysis of queueing networks

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 Queueing Networks with Dynamic Control of Service Rates

Authors: Dolgov V. I., Rogachko E. S.

Model of evolution and a method for analysis of closed exponential queueing networks with dynamic control of service rates are proposed. A method of computing of the stationary distribution and formulas for calculating of stationary characteristics of the networks are presented. An example of analysis of considered type queueing network is given. According to the results of analysis and simulation of this network the accuracy of this method is sufficient for practical application.

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.