The opportunities of application of optimization methods in project portfolio management

The paper discusses problems associated with optimization of project management in organizations. The relevance of this task stems from the fact that the formation of investors ' portfolios is necessary to ensure the satisfaction of characteristics of projects with certain conditions. Competitiveness of organizations is due to the fact that the choice of projects is based on relevant approaches, among such approaches, there should be methodological unity. The lack of coordination on individual projects, their needs, priorities could result in a disruption of the normal modes of operation of the company, which often leads to the disruption of a large number of projects. You need to set the required priorities across the organization and consider the movement and distribution of all resources. Such problems can be a successful method solved in the framework of project portfolio management - a set of projects that may not be a technological way and implemented by the organizations to achieve its strategic goals. In this work the analysis of existing approaches in the management of projects, portfolios, demonstrated the possibility of application of methods of linear optimization. Based on the method of linear integer programming solved the problem of the selection of projects yielding the greatest financial benefit for the company. On the basis of the target integer programming when adding additional conditions under several scenarios show which projects may be selected taking into account the fact that the risk does not exceed a predetermined value. The approach may be useful in a variety of organizations in the course of determining the best portfolio.

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