Parametrical analysis of product’s life-cycle as judged by time-cost criteria

The paper presents results of minimal budget projects construction taking into consideration restrictions on the critical path way time. The peculiarities of mathematical models of life-cycle are formulated. The network life-cycle model is presented in the form of the special chain-like type graph or network model with ordered events. Taking into consideration specific features of life-cycle, models of parametrical analysis tasks are chosen primarily for network models with two sequential and parallel operations. As the method of parametrical linear tasks solving the visual analysis method is selected , based on geometrical construction of feasible solutions. The article considers also operational complexes which include three life-cycle stages of sequential or parallel activities. On the examples of life-cycle network models particular results of parametrical analysis tasks are obtained using time-cost criteria and then the specific solution results are generalized. As a goal function of linear program task the cumulative value of direct costs on the project work execution was assumed. The results obtained in this paper can be applied in the practice of project management tasks solving, production management, operations research and analysis of life-cycle product’s stages at industrial enterprises.