Cost minimization of maintained multi-state system using optimal load distribution

Imane Maatouk 1 Eric Chatelet 1 N. Chebbo 2
1 LM2S - Laboratoire Modélisation et Sûreté des Systèmes
ICD - Institut Charles Delaunay
2 Université Libanaise
Abstract : This paper presents a method for determining a minimal cost of a multi-state system subject to a corrective maintenance. The minimal cost is achieved by finding an optimal load distribution from a sequence of possible combinations. The cost considered is a combination of downtime cost (loss of productivity) and repair cost. The former is affected by a penalty value. The element failure rate depends on its current load. The universal generating function is used to evaluate the performance distribution of the entire system. Then, the unavailability and the repair time are estimated in order to obtain the objective function. The objective function is minimized using genetic algorithm. An illustrative example is presented. The effect of penalty value is studied.
Keywords : genetic algorithm load distribution multi-state system optimization universal generating function
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Conference papers
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https://hal-utt.archives-ouvertes.fr/hal-02307443
Contributor : Jean-Baptiste Vu Van <>
Submitted on : Monday, October 7, 2019 - 3:55:46 PM
Last modification on : Wednesday, October 9, 2019 - 1:37:45 AM

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Imane Maatouk, Eric Chatelet, N. Chebbo. Cost minimization of maintained multi-state system using optimal load distribution. 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE), Jun 2012, Chengdu, China. pp.1005-1009, ⟨10.1109/ICQR2MSE.2012.6246394⟩. ⟨hal-02307443⟩

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