Geodesic
Analysis and solution of discrete optimization problems with logical constraints on the base of $L$-partition approach
Prikladnaâ diskretnaâ matematika, no. 4 (2015), pp. 100-108

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In the paper, we analize discrete optimization problems with logical constraints based on integer linear programming models and $L$-partition approach. We obtain an upper bound for the power of any $L$-complex of the $2$-SAT polytope. The use of this evaluation allows to solve some applied problems of designing complex products by these approaches much more efficiently.
Keywords: satisfiability problem, logical constraints, integer programming
Mots-clés : $L$-partition. 
@article{PDM_2015_4_a9,
     author = {A. V. Adelshin and A. A. Kolokolov},
     title = {Analysis and solution of discrete optimization problems with logical constraints on the base of $L$-partition approach},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {100--108},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2015_4_a9/}
}
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A. V. Adelshin; A. A. Kolokolov. Analysis and solution of discrete optimization problems with logical constraints on the base of $L$-partition approach. Prikladnaâ diskretnaâ matematika, no. 4 (2015), pp. 100-108. http://geodesic.mathdoc.fr/item/PDM_2015_4_a9/