Geodesic
Towards optimal formwork pairing on construction sites
RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 4, pp. 381-398

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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.

DOI : 10.1051/ro:2007035
Classification : 90B90
Keywords: pairing, russian dolls, tabu, fixed-charge multi-commodity flow 
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     author = {Benoist, Thierry},
     title = {Towards optimal formwork pairing on construction sites},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {381--398},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {4},
     year = {2007},
     doi = {10.1051/ro:2007035},
     mrnumber = {2361292},
     zbl = {1165.90556},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2007035/}
}
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Benoist, Thierry. Towards optimal formwork pairing on construction sites. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 4, pp. 381-398. doi: 10.1051/ro:2007035

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