The deterioration of materials and finished products in manufacturing, or in use or in storage is an important problem now in our modern industries to both producers and users. Economical, reliable evaluation, and engineering judgement applied to reliability effectiveness and life times detection provide management with deterioration curves, maintenance requirements and remedy feedback informations to maximize life and product serviceability, thus minimizing costs. To attain these goals some essential elements should be encompassed. Developing and implementing economic new techniques to solve these problems are needed. The ultimate objective of these techniques is to provide reliability assurance for the finished product and to assure optimum reliability costs for that product through the detection of life times. The formulation of an optimize statistical model of these the basic condition of obtaining objective results. It is important in this case to arrange the method of formulation of these problems in good agreement with the objective of the research taking into account the main and auxilary factors. By the essence of statistical simulation the process of functioning of the complex system were used to represent a mathematically formulated model which was isomorphic in all essential aspects to the total and required main of research objectives. This model was repeatedly tested to determine the required statistical characteristics, based on the complex stochastic process which was regarded as a sequence of the finite element.