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Issue RAIRO Oper. Res.
Volume 41, Number 4, October-December 2007
Page(s) 381 - 398
DOI 10.1051/ro:2007035
Published online 11 October 2007

RAIRO Oper. Res. 41 (2007) 381-398
DOI: 10.1051/ro:2007035

Towards optimal formwork pairing on construction sites

Thierry Benoist

Bouygues e-lab, 32 av Hoche, 75008 Paris, France; tbenoist@bouygues.com

(Received January 1st, 2002. Accepted February 6, 2007. Published online 11 October 2007.)

Abstract
Minimizing shutterings assembling time on construction sites can yield significant savings in labor costs and crane moves. It requires solving a pairing problem that optimizes the ability for the crane to move chains of shutterings as a whole when they can be later reused together to frame another wall of the site. In this paper, we show that this problem is NP-hard in the strong sense as well as both its multiflow and ordering aspects. We also introduce a linear relaxation that computes reasonably good lower bounds of the objective, and describe a Tabu Search based on pairings insertion and ejection that builds promising solutions.


Mathematics Subject Classification. 90B90

Key words: Pairing, Russian dolls, tabu, fixed-charge multi-commodity flow


© EDP Sciences, ROADEF, SMAI 2007


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