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Journal of Computer and Systems Sciences International
Published in: Journal of Computer and Systems Sciences International 6/2021

01-11-2021 | COMPUTER METHODS

Decompositional Method for the Optimization Problem of Effective Shooting

Authors: L. P. Wang, A. S. Esenkov, E. S. Strelkova, A. P. Tizik

Published in: Journal of Computer and Systems Sciences International | Issue 6/2021

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Abstract

The method of sequential modification of the coefficients of the target function for transport-type problems is extended to the class of efficient shooting problems. At each step of the iterative process, problems with two constraints and one binding variable are solved. Degeneration due to non-uniqueness of the solution of the mentioned intermediate problems is considered. A procedure for removing degeneracy is given. The final algorithm constructs an exact solution to the original Boolean programming problem. The exponential growth of the computation time is experimentally established depending on the dimension of the original problem.
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Literature
1.
E. G. Gol’shtein and D. B. Yudin, Transport-Type Linear Programming Problems (Nauka, Moscow, 1969) [in Russian].MATH
2.
A. P. Tizik and V. I. Tsurkov, “Iterative functional modification method for solving a transportation problem,” Autom. Remote Control 73, 134 (2012).MathSciNetCrossRef
3.
D. I. Kuzovlev, A. P. Tizik, and Yu. P. Treskov, “Method of sequential modification of the objective function in the assignment problem,” J. Comput. Syst. Sci. Int. 50, 921 (2011).MathSciNetCrossRef
4.
D. I. Kuzovlev, A. P. Tizik, and Yu. P. Treskov, “Decompositional algorithm for solving transportation problem with fixed channel capasities,” Mekhatron., Avtomatiz., Upravl., No. 1, 45–48 (2012).
5.
A. P. Tizik, D. I. Kuzovlev, and A. A. Sokolov, “Method of successive modifications of functional for transportation problem with additional warehouse points for suppliers and consumers,” Vestn. TvGU, Ser. Prikl. Mat., No. 4 (27), 91–98 (2012).
Metadata
Title
Decompositional Method for the Optimization Problem of Effective Shooting
Authors
L. P. Wang
A. S. Esenkov
E. S. Strelkova
A. P. Tizik
Publication date
01-11-2021
Publisher
Pleiades Publishing
Published in
Journal of Computer and Systems Sciences International / Issue 6/2021
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230721060162

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