Use of the device of queueing networks for analytical and numerical modeling of an information system without considering the influence of blockings
Abstract
Use of the device of queueing networks for analytical and numerical modeling of an information system without considering the influence of blockings
Incoming article date: 04.08.2015Using a device of close homogeneous exponential queueing networks (QN) a mathematical model of an information system functiouning without considering influence of blockings was worked out. A proccessor and the united resourse "channel - external memory" are considered as shared resources. All the users' requests are assumed to be single and homogeneous and the servicing discipline "First Come First Served" is used for sequence of their execution. Analytic expressions are given for calculation of the integral characteristics of the system: the distribuition law of number of messages in a system, the average number of messages at a node, the average sojourn time of a message at a node, the average sojourn time of a message in a system.
Keywords: data base, blocking, queueing network, servicing discipline for messages, exponential distribution law, conceptual model, state space, the global balance equation, normalizing constant, stationary probability, the distribuition law of number of messages