Mathematical models of replacement and wearing of equipment

Resolving issues of effective use of equipment is a one of the most important problem while managing industrial production. Minor and major structuring repairs of the equipment and its replacement are connected with considerable material, labour and financial expenses. Besides, equipment downtimes influence significantly the efficiency of industrial production in general. In the article mathematical models of problems of replacement of the equipment at the determined and stochastic information for a limited and unlimited period are described. Moreover, there is a model of replacement of the equipment which uses the terms of network modelling, also algorithms of dynamic programming are used when modelling a problem of replacement of the equipment. On the basis of the offered models, the generalizing algorithm of the solution of a problem of replacement of the equipment is constructed. Also it is shown that taking a factor of uncertainty at the solution of problems of this class into account is important. The received results can be used to design an optimum strategy of replacement of the equipment at a manufacturing enterprise.