Description: In the article, a mathematical model of the processes of spending and replenishing the resource (PVPR) of the grouping of technical objects is proposed. The concept of grouping is defined, the quality indicators of the PVPR grouping are introduced, its parameters are determined. The parameters of individual technical objects are the resource and service life, after which the operation of the object within the grouping should be stopped. The parameters of the VFRP have a plan for repairs, which restore the resource of the facilities, the plan for the write-off of facilities whose resource is exhausted, and the supply plan for the grouping of new facilities and spare parts. Indicators of the quality of the VFR in general selected the composition and total resource of the grouping, the necessary values of which should be maintained throughout the entire existence of the grouping. The formulation of the task of managing a warehouse and a grouping resource is formulated, in which the parameters controlled by the plans repair, write-off and supply objects to the groupings. A mathematical model has been developed that establishes the dependence of VDPR quality indicators on the parameters of objects and grouping. The model is implemented programmatically with the help of the Delphi pro-grammatical system. An example of modeling results is given, demonstrates the working capacity of simulation algorithms and the possibilities of practical application of the model.
Keywords: resource of technical object, service life of technical object, composition and resource of grouping, plan for repair, write-off and supply of new objects