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Computational Aspects of the Method of Bilateral Narrowing of the Boundaries of the Optimum and the Variables in the Mixed-integer knapsack problem

Computational Aspects of the Method of Bilateral Narrowing o...

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4th International Conference on problems of Cybernetics and Informatics (PCI)

作者： Mammadov, Kamal Minist Communicat & Informat Technol Baku Azerbaijan

ISBN: (纸本)9781467345026;9781467345002

In this article experimental research was conducted in order to investigate the quality of the method for the solution of the problem of the mixed-integer programming with one restriction witch suggested by author. In these experiments it has been confirmed once more that the method suggested by author operates more rapidly than the known "branch and bound" method.

关键词： mixed-integer programming integer-valued knapsack problem interval narrowing values of variables and functionals equivalent problem

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Mixed-integer knapsack problem Solving Method Using the Narrow Intervals for the Criterion Function and Variables

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AUTOMATIC CONTROL AND COMPUTER SCIENCES 2010年第4期44卷 216-226页

作者： Mansimov, K. B. Mamedov, K. K. Natl Acad Sci Azerbaijan Inst Cybernet Ul Agaeva 9 AZ-1141 Baku Azerbaijan

A mixed-integer knapsack problem solving method is suggested. With this purpose, first, the number of integer-valued variables and the domain of feasible solutions (containing the optimal solution) are decreased. Further, the received problem is solved using the "branch and bound" type method, where the narrow intervals for the functional and variables are used while each is branching. The numerous computing experiments fulfilled have shown that the suggested method operates more rapidly than the known "branch and bound" method.

关键词： mixed-integer programming integer-valued knapsack problem interval narrowing values of variables and functionals equivalent problem

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