Модель и метод многокритериальной оптимизации содержания проекта при нечетких исходных данных

Abstract

Предложены математическая модель и метод решения динамической задачи многокритериальной оптимизации содержания проекта при нечетких исходных данных, при наличии ограничений и заданных альтернативных вариантов выполнения работ, представленных в виде сетевых моделей. Содержание проекта оптимизируется по критериям прибыль, время, стоимость, качество и риски.The paper presents a mathematical model and method of the structural project scope optimization with fuzzy input data, which includes five objective functions. One of the functions reflects the profit for the entire project product life cycle. The other reflects the time of its realization. The third is the cost of the project. The fourth is the value of the generalized indicator of project product quality and the fifth is a risk assessment associated with the project. The model and method takes into account the restrictions on the lack of financial debt after each phase completion, the duration of the project, the quality of the separate stages products. It is assumed that the project scope is given in the form of a network model with the alternatives of the work execution. The suggested model is a multi-objective, dynamic, containing Boolean variables, algorithmic and analytical objective functions and constraints. To solve the problem the method of multi-objective structural project scope optimization with fuzzy input data with constraints, based on application of generalized criterion in conjunction with the method of implicit enumeration is proposed.