The mathematical simulation of functional reliability of pipeline with redundancy

Abstract

The article proposes the mathematical model of the functional reliability of pipeline with the redundancy (PR), which contains the elements of strength, hydraulic and game theory models. The distribution optimum criterion of the transported product between the PR parallel sections is substantiated taking into account the action uncertainty of the environment factors on the defects development in the pipe and the functional characteristics of PR sections. The strength resource is proposed as the index of the functional reliability of PR section, as a difference in the maximum and working intra-tube of pressures in the diagnosed defect place. The example of the guaranteed strength resource calculation for the pipeline system with the duplicating is given