Multiobjective Reliability Allocation in Multi-State Systems: Decision Making by Visualization and Analysis of Pareto Fronts and Sets

Enrico Zio (1, 2, 3) , R. Bazzo (1)

1 Dipartimento di Energia [Milano]
2 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
3 LGI - Laboratoire Génie Industriel - EA 2606

Reliability-based design, operation and maintenance of multi-state systems lead to multiobjective (multicriteria) optimization problems whose solutions are represented in terms of Pareto Fronts and Sets. Among these solutions, the decision maker must choose the ones which best satisfy his\her preferences on the objectives of the problem. Visualization and analysis of the Pareto Fronts and Sets can help decision makers in this task. In this view, a recently introduced graphical representation, called Level Diagrams, is here used in support of the analysis of Pareto Fronts and Sets aimed at reducing the number of non-dominated solutions to be considered by the decision maker. Each objective and design parameter is represented on separate "synchronized" diagrams which position the Pareto front points according to their proximity to ideal preference points and on the basis of this representation a two-step front reduction procedure is proposed. An application to a redundancy allocation problem of literature concerning a multi-state system is used to illustrate the analysis.

Keywords: Multi-state system redundancy allocation; Reliability; Availability; Multiobjective decision making; Pareto Front; Pareto Set; Level Diagrams

Domains: Engineering Sciences [physics]; Other

Enrico Zio, R. Bazzo. Multiobjective Reliability Allocation in Multi-State Systems: Decision Making by Visualization and Analysis of Pareto Fronts and Sets. Anatoly Lisnianski and Ilia Frenkel. Recent Advances in System Reliability, Springer, pp.195-208, 2012, ⟨10.1007/978-1-4471-2207-4_14⟩. ⟨hal-00642352⟩