Description: The article describes the mathematical model of the process of resource consumption and replenishment (PRVR) of the grouping of complex technical objects. In addition to the authors' description previously described, a formalized description of the grouping was introduced, including: the set of grouping objects; normative parameters for the expenditure and replenishment of the resource of the objects and the current state of the grouping. The grouping status is determined by the state of the resource of the technology included in the grouping. The resource of an individual object is determined by three parameters: the actual resource (residual operating time), the remaining service life and the remaining number of planned repairs that must be performed at this facility before it is written off. The developed model is implemented in software in Delphi programming environment. A database (DB) built into the model has been developed, in which all information about the simulated groupings is stored. In the database, information can also be entered for a real grouping, so that the model can be used to solve practical problems of planning technical operation in specific groups. The database model is based on the application of the local InterBase server. A classification of states of a grouping resource has been introduced, which defines three classes of states: "new", "balanced" and "old". Examples of the results of RVR simulation are presented, which clearly illustrate the possibilities of using the developed model. The examples demonstrate the expediency of striving to organize the operation of the grouping objects to the balanced state of its resource.
Keywords: resource and service life of a technical object, composition and resource of technical objects grouping, plans for repair, write-off and supply of new objects, residual number of scheduled repairs