Presenting a one-objective optimization model to determine the reliability of the components of a coherent system

In this paper, the amount required to increase the reliability of the components of a coherent system is determined so that the cost of this increase is minimized and the reliability of the whole system is not less than the predetermined value.

In this research, after introducing the objective and constraint functions in the optimization problem, the Lagrange method is used and then the problem is solved by presenting an algorithm. In this article, several cost functions are considered, and then the results are presented in the general case for a coherent system and then for two special cases, series-parallel and parallel-series systems.

In this article, two numerical examples are presented and solved. In the first example, a bridge structure is evaluated and in the second example, a series-parallel system is studied. In both examples, the required values are determined to increase the reliability of the system components.

Originality/Value: 

This research, using a mathematical model and numerical calculations with the help of R software, examines the optimization problem for a coherent system.