Розробка моделей і методів оптимального управління системами проектів на базі методів оптимального агрегування

Abstract

There has been considered the management of project systems taking into account the life cycle of the product. A ma-thematical model and software for project systems has been developed. The software has modules to adjust the parameters of the mathematical model, enter data and analyze the results of the simulation. The main interpretation of the mathematical model is the complex of production, retail, logistics of components and final products and recycling systems. Technology systems can be in the states of design, construction, and production, modification of technologies and products of produc-tion. The purpose of the article is to develop mathematical models: individual production projects, taking into account de-mand, competition, technology renewal and production of products; Development of project system models with time man-agement in mind. The conceptual theoretical basis of development has been chosen: resource approach, methodology of optimal aggre-gation and solution of variation problems of optimal allocation of resources in the processes of operation and development of objects. An integrated mathematical model of "monoproject" has been developed, performing optimal aggregation and optimization of the development strategy. The result of calculations of the module is "monoproject"-matrix structures, similar to the records in databases — solving the problems of optimal operational and strategic management. The variation is solved for a one-dimensional optimal equivalent object followed by "disaggregation" - the distribution of the optimal strategy across all subsystems. The result of using the "monoproject" software module is to remove the dimension problem in solving one-step and mul-ti-step optimization problems. Specifically, it is the elimination of search engines and the possibility of parallel calculations. The following new scientific and practical results have been obtained: optimal management of the start and end of individual monoprojects; optimal management of market windows — moments of decommissioning of some products and the launch of new products; the development of new binary operators of optimal aggregation of elements of the system of projects – monoprojects. A simulation of the project test system has been performed.