Extension of dynamic programming models for management optimization from single structure to multi-structures level

Rafic Faddoul (1) , Abdul-Hamid Soubra (2) , Wassim Raphael (1) , Alaa Chateauneuf (3)

1 ESIB - Ecole supérieure d'ingénieurs de Beyrouth
2 TRUST - Contrôle de santé fiabilité et calcul des structures
3 LAMI - Laboratoire de Mécanique et Ingénieries

The aim of this article is the management optimisation (inspection, maintenance and rehabilitation (IM&R)) of a group of structures. It is supposed that the optimisation is constrained by limited available budget at the beginning of each time period during the entire time horizon thus creating an economical dependence between the decisions related to each of the structures. A Lagrangian relaxation technique is used for the extension of existing dynamic programming methods from single structure to multi-structures level. The methodology is illustrated by using a Generalised Partially Observable Markov Decision Process having a decision tree composed of a sequence of two decisions at the beginning of each time period, namely an inspection decision followed by a maintenance action decision. A numerical example concerning the optimisation of IM&R of 16 different bridges is presented.

Mots clés: optimisation; maintenance; decision-making; infrastructure management; imperfect information; life-cycle cost

Domaines: Mécanique [physics.med-ph]; Matériaux; Economies et finances

Rafic Faddoul, Abdul-Hamid Soubra, Wassim Raphael, Alaa Chateauneuf. Extension of dynamic programming models for management optimization from single structure to multi-structures level. Structure and Infrastructure Engineering, 2013, 9 (5), pp.432-447. ⟨10.1080/15732479.2011.557082⟩. ⟨hal-01006860⟩