Geodesic
The construction of a solution of the alternative linear programming problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1150-1156

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Finite optimization algorithms are described for a linear function on a set defined by alternative conditions over a system of polyhedra. 
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     title = {The construction of a~solution of the alternative linear programming problem},
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R. Gabasov; F. M. Kirillova; E. A. Kostina. The construction of a solution of the alternative linear programming problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1150-1156. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a2/