It was found in the paper that the time frames of the studied system operation depend on the research objective. In cases when it comes to problems, related to the physical movement of the input and output products, limits of the study are defined by the time of the beginning of the movement of the first input product of the operation and ends with the time of issue of the last output product of the operation by the system. Time of completion of the physical movement of products is defined in the paper as the time of the physical completion of the operation. Since the purpose of any operation is to increase the value of the output products in relation to the value of input products of the operation, in cases when there is a problem of investigating the target operation, the time of completion of the target operation is determined not by the physics of the process, but its cybernetics. Since for the time of the operation, conversion processes link input products in time, the added value of output products is intended to compensate in time the costs of temporary binding of input products that initially have their value. The time, when the added value of output products of the target operation compensates the value of tight input products for the time of the operation, is defined in the paper as the time of the actual completion of the target operation. A system of notations to describe the system processes of target operations was proposed. The expressions for the numerical and analytical determination of the time of actual completion of the target operation were obtained. A link to the resource, with examples of calculations of the time of the actual completion of the operation with the use of numerical methods and analytic expressions, obtained in the paper was given.

The reduced, simplified registration mathematical model of the system operation, obtained by scaling the registration signals of the basic model and determining the sum of the reduced, integrated flow rates by the input and output of the system under study was constructed. The studies of this traditional, for today model have shown the problem, associated with the existing approach in operations identification. As a result of using the agent model and system approach, it was found that registration model of the operation is not based on the data, actually describing the process under investigation. The new idea of the studied process has allowed to develop a method for constructing the reduced, deployed model of the operation. The deployed model of the operation allows to get access to data of operations at each point of the model of the operation process. The developed approach to constructing the mathematical model of the reduced deployed operation allows more accurate identification of the operation and its use to obtain new scientific results in the field of operations research.
Lutsenko, I. Deploed model of extremal system operation for solving optimal management problems [Text] / Eastern-European Journal of Enterprise Technologies. - 2014. - Vol. 5/2(71). - P. 61-66. DOI: 10.15587/1729-4061.2014.28592