SIMULATION OF THE INITIAL STAGE OF ENGINEERING NETWORK DESIGN

Abstract

The work contains an analysis of the current state of centralized utilities, which form the basis of engineering networks in the country. The problems actualizing questions of mathematical modeling of system process of designing of new and reconstruction of old engineering networks in the conditions of their perspective development are resulted. The analysis of researches in the field of designing of engineering networks taking into account uncertainty of the information is given. The main material of the article is devoted to the construction of a mathematical model of the problem of distribution of work volumes at different stages of construction or reconstruction of the engineering network, taking into account the long-term development of the system. The list of questions to be answered when designing a network is given. A topological model of the design area is proposed. It consists of sites for which design is carried out, indicators of reliability of assignment of design sites to various stages of construction or reconstruction of an engineering network, quality criteria and characteristics of resource constraints. The basic mathematical model of the problem is built, which takes into account the conditions of perspective development of the engineering network. It is solved by Boolean programming methods. Another view of the introduced variables is offered, which allows to consider them as functions of belonging of sites of the territory of designing to this or that stage of construction or reconstruction of an engineering network. The introduction of indicators of reliability of the design sites to different stages of construction or reconstruction of the engineering network leads to the discontinuous nature of the allowable values of variables, which makes the task dichotomous. The solution to this problem is the problem of partial-integer linear programming. Another approach to taking into account the uncertainty of information at the initial stages of design of engineering networks – the use of algebra of interval numbers. With the help of interval numbers it is possible to reproduce the expert opinion on the scattering of the initial data. The analysis of efficiency of application of interval algebra is resulted and formulated the need for further research on this topic.