Oblique path algorithms for solving linear programming problems
Diskretnyj analiz i issledovanie operacij, Tome 8 (2001) no. 2, pp. 17-26
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We present polynomial optimization algorithms in an oblique path cone to solve a linear programming problem. The oblique path that we introduce in this paper is an extension of the concept of the path of analytic centers. We consider prospects for using the algorithms proposed to solve the practical problem of determining admissible modes of operation of electrical power systems.
@article{DA_2001_8_2_a1,
author = {O. N. Voitov and V. I. Zorkal'tsev and A. Yu. Filatov},
title = {Oblique path algorithms for solving linear programming problems},
journal = {Diskretnyj analiz i issledovanie operacij},
pages = {17--26},
publisher = {mathdoc},
volume = {8},
number = {2},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DA_2001_8_2_a1/}
}
TY - JOUR AU - O. N. Voitov AU - V. I. Zorkal'tsev AU - A. Yu. Filatov TI - Oblique path algorithms for solving linear programming problems JO - Diskretnyj analiz i issledovanie operacij PY - 2001 SP - 17 EP - 26 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DA_2001_8_2_a1/ LA - ru ID - DA_2001_8_2_a1 ER -
O. N. Voitov; V. I. Zorkal'tsev; A. Yu. Filatov. Oblique path algorithms for solving linear programming problems. Diskretnyj analiz i issledovanie operacij, Tome 8 (2001) no. 2, pp. 17-26. http://geodesic.mathdoc.fr/item/DA_2001_8_2_a1/