The problem of forming the graphics of the implementation of the investment multiproject

Abstract

Investment projects are a typical tool for the development of modern business, aimed at expansion, organizational change and modernization. Depending on the scale of the proposed changes, monoprojects are used, which are a tool for solving one problem and multiprojects that include several monoprojects. The mechanisms for the implementation of monoprojects are fairly well studied in the works of Russian and foreign authors. The process of implementing multiprojects in comparison with monoprojects has a much more complex structure and, despite the large number of works in this area, is an actual area of research. The effectiveness of the implementation of investment multiprojects largely depends on their financing technologies and the implementation schedule. The paper investigates the problem of the formation of an optimal sequence of independent investment multiproject projects. Several problem statements are analyzed that differ in the specifics of the projects and the rules for their financing: a multi-project involving investment in the initial (zero) point in time for the entire project (one-time investment); multiproject involving investment at the start of each project included in it; non-profit, socially significant pro-jects not aimed at generating income. As criteria for optimality, depending on the specifics of the multiproject, criteria for maximizing profit and minimizing costs are considered. The proposed rules for determining the optimal sequence of project execution in all the problem statements un-der consideration are based on the socalled selection priority coefficients, the rationale of which is constructed using scheduling theory approaches. The selection priority coefficients depend on the key parameters of the problem statement (the time the project takes to the stage of operational profitability, the monthly income after the transition to the stage of the current operating profitability, project implementation costs) and the discount rate used in the project.