RUS  ENG
Full version
JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2016 Issue 4(29), Pages 59–62 (Mi pfmt472)

MATHEMATICS

Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies

J. S. Kruka, Y. E. Dudovskayab

a Belarusian National Technical University
b F. Scorina Gomel State University

Abstract: Stationary distribution of conditions probabilities of the open queueing network is investigated. Devices of the nodes can operate in several modes. There are two types of customers in the nodes: ordinary (active) customers and temporarily non-active customers. There are input flows of signals that allow customers to change the state: from non-active state pass into the state when they can receive service and backwards. Stationary distribution insensitivity with respect to functional form of distribution of work quantity for customer service is established.

Keywords: queueing network, non-active customers, multimode service, stationary distribution insensitivity.

UDC: 519.2

Received: 05.09.2016



© Steklov Math. Inst. of RAS, 2024