Mathematical model of functioning distributed infomatione systeme on the base "fale-server" architecture with cosidering the influence of blocings
Abstract
Mathematical model of functioning distributed infomatione systeme on the base "fale-server" architecture with cosidering the influence of blocings
Incoming article date: 28.09.2015Using a device of close homogeneous exponential queueing networks (QN) a mathematical model of an information system functiouning with 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: Distributed information system, distributed data base, local computing system, mass service network, conceptual model, exponential law of distributing the random value, stationary probability, mark process, the global balance equation, system reaction tim