An Interval Approach for the Availability Optimization of Multi-State Systems in the Presence of Aleatory and Epistemic Uncertainties
- 14 December 2021
- journal article
- research article
- Published by ASME International in Asce-Asme Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering
- Vol. 8 (2)
- https://doi.org/10.1115/1.4052461
Abstract
An essential step in the safe design of systems is choosing the system configuration that will maximize the overall availability of the system and minimize its overall cost. The main objective of this paper is to propose an optimization method of multi-state system availability in the presence of both aleatory and epistemic uncertainties, to choose the best configuration for the system in terms of availability, cost, and imprecision. The problem is formulated as follows: let us consider several configurations of a system, with each configuration consisting of components with different working states, and imprecise failure and repair rates provided in the form of intervals. The aim is to find the best configuration regarding the system's imprecise availability, cost, and imprecision. First, the imprecise steady availability of each configuration is computed by using an original method based on Markovian approaches combined with interval contraction techniques. Then an objective function incorporating cost, the lower and upper bounds of availability, and imprecision is defined and computed to provide the best configuration. To illustrate the proposed method, a use case is discussed.Keywords
This publication has 23 references indexed in Scilit:
- Availability optimization of a redundant system through dependency modelingApplied Mathematical Modelling, 2014
- An Integrated Modeling Approach to Evaluate and Optimize Data Center Sustainability, Dependability and CostEnergies, 2014
- Reliability assessment for multi-state systems under uncertainties based on the Dempster–Shafer theoryIIE Transactions, 2013
- A comparison of deterministic, reliability-based and risk-based structural optimization under uncertaintyProbabilistic Engineering Mechanics, 2012
- Discrete time Markov chains with interval probabilitiesInternational Journal of Approximate Reasoning, 2009
- IMPRECISE MARKOV CHAINS AND THEIR LIMIT BEHAVIORProbability in the Engineering and Informational Sciences, 2009
- Optimal design of a maintainable cold-standby systemReliability Engineering & System Safety, 2007
- An annotated overview of system-reliability optimizationIEEE Transactions on Reliability, 2000
- Software dependability evaluation based on Markov usage modelsPerformance Evaluation, 2000
- Teaching distribution system reliability evaluation using Monte Carlo simulationIEEE Transactions on Power Systems, 1999