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Lexicographic Search of Optimal Solutions of Boolean Programming Problems

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 130))

Abstract

Practical problems of optimization have always demanded effective algorithms for search of their solutions. Nowadays, due to the considerable development of computer aids and various technologies, in particular technologies of parallel calculations, there is a need for development of new algorithms and methods that would allow to receive optimal or close to them solutions within an acceptable time. It is especially urgent in connection with the significant increase in dimension of modern applied tasks. In this work such methods and algorithms are being constructed for the purpose of increase in efficiency of the algorithm of lexicographic search of the solution of Boolean optimization problems.

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    http://people.brunel.ac.uk/~mastjjb/~jeb/~orlib/~mknapinfo.html.

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Correspondence to Sergey V. Chupov .

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Chupov, S.V. (2017). Lexicographic Search of Optimal Solutions of Boolean Programming Problems. In: Butenko, S., Pardalos, P., Shylo, V. (eds) Optimization Methods and Applications . Springer Optimization and Its Applications, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-319-68640-0_5

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