Title
Analysis of Networks of the Resource Queuing Systems.
Abstract
Consideration was given to the model of a queuing network with resource queuing systems—the multi-server systems with losses where servicing of the accepted customer occupies random volumes of resources with the given distribution function depending on the customer class and the type of required servicing. Customer servicing in a node can be interrupted by a signal arriving at an exponential time from the start of servicing, and during the time of customer sojourn in the network it may be interrupted more than once. Analytical formulas for calculation of the fundamental probability-time model characteristics—including the joint distribution functions of the number of customers in the nodes and the volumes of resources occupied by them—were proposed on the assumption of the Poisson flows incoming to the nodes and arbitrary servicing.
Year
DOI
Venue
2018
10.1134/S0005117918050041
Automation and Remote Control
Keywords
Field
DocType
resource queuing systems, queuing networks, queuing system with interrupt of servicing
Mathematical optimization,Joint probability distribution,Exponential function,Queuing network,Queueing theory,Poisson distribution,Distribution function,Mathematics
Journal
Volume
Issue
ISSN
79
5
0005-1179
Citations 
PageRank 
References 
1
0.41
5
Authors
2
Name
Order
Citations
PageRank
Valeriy A. Naumov1183.42
K. E. Samuilov220.75