Piecewise-linear networks with multimode service strategies

Authors:
A. N. Starovoitov
Affiliations:
Skorina State University, Gomel, Belarus
Venue:
Automation and Remote Control
Year:
2008

Citing 2
Cited 1

Introduction to queueing theory (2nd ed)

Introduction to queueing theory (2nd ed)
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers

Journal of the ACM (JACM)

On conditions for a product-form stationary probability distribution of states of a multimode service network

Problems of Information Transmission

Quantified Score

Hi-index	0.00

Visualization

Abstract

Consideration is given to open and closed queueing networks with Markov routing and symmetric service procedures. Single-line nodes can operate in several modes; the switching time from one mode to another is of exponential distribution. The switching occurs only to nearby modes. The quantity of work on service of the arriving customer is a random quantity with an arbitrary distribution function. For open networks, the input flow is the simplest. The invariancy of the stationary distribution of network states with respect to the functional form of distributions of quantities of works at fixed first moments is established.