Geodesic
Optimization of power transmission systems using a multi-level decomposition approach
RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 2, pp. 213-229

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We discuss the use of operations research methods for computer-aided design of mechanical transmission systems. We consider how to choose simultaneously transmission ratios and basic design parameters of transmission elements (diameters, widths, modules and tooth number for gears, diameters of shafts). The objectives, by the order of importance, are: to minimize the deviation of the obtained speeds from desired; to maximize the transmission life; to minimize the total mass. To solve this problem, we propose a multi-level decomposition scheme in combination with methods of quadratic and dynamic programming. Some industrial cases are solved. For these cases, the developed software tool improves the design decisions by decreasing total metal consumption of the transmission as much as 7-10% and considerable simplifies the work of the designer.

DOI : 10.1051/ro:2007017
Classification : 90B10, 90C35, 90C90
Keywords: power transmission design, optimization, multi-level decomposition, graph approach, quadratic programming, dynamic programming 
@article{RO_2007__41_2_213_0,
     author = {Dolgui, Alexandre and Guschinsky, Nikolai and Levin, Genrikh},
     title = {Optimization of power transmission systems using a multi-level decomposition approach},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {213--229},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {2},
     year = {2007},
     doi = {10.1051/ro:2007017},
     mrnumber = {2341441},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2007017/}
}
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AU  - Levin, Genrikh
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%A Guschinsky, Nikolai
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%D 2007
%P 213-229
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%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ro:2007017/
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Dolgui, Alexandre; Guschinsky, Nikolai; Levin, Genrikh. Optimization of power transmission systems using a multi-level decomposition approach. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 2, pp. 213-229. doi: 10.1051/ro:2007017

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