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

Imane Maatouk; Eric Chatelet; N. Chebbo

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

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

Document type :

Conference papers

Domain :

Computer Science [cs] / Performance [cs.PF]

Quantitative Finance [q-fin] / Risk Management [q-fin.RM]

Complete list of metadatas

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

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

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

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