THE WORKING OUT AND RESEARCH OF THE PROBABILISTIC MODELS OF THE QUALITY EVALUATION OF MANAGEMENT INFORMATION SYSTEMS
Abstract
Information and Control Systems (ICS) are difficult to implement, their work is often associated with numerous and mutually independent streams of input events, wearing casual character. In this regard, on the design phase of such systems the use of stochastic modeling is necessary, in particular on the basis of queuing systems. In paper process of planning of real time application is analyzed. The planning cycle is composed of solutions of high-priority and low-priority tasks. It has been shown that it is possible to use a single line queuing systems with the erlang input stream and hyperexponential service time for the simulation of high priority tasks. The integral equation Lindley for such a system is received. The solution of such equation is obtained by factorization of integral equation. Explicit expressions of the distribution function of the delay time of the real-time high-priority tasks is received, as well as its average value. The process of implementation of low-priority tasks is analyzes. It is shown that the analysis of this process can be done by the use of queuing systems with the generalized erlang flow of random events. On the basis of the method of the integral equation Lindley the Laplace-Stieltjes transform of the waiting time in the queue and the average value of this time is obtained. Thus, the analysis of the functioning of information and control systems on the base of single-line queuing systems allows to plan the order of their functioning and estimate the major characteristics of this process.Key words: time, criterion, model, service, process, design, flow, system, event.
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