Geodesic
About Some Problems of Disjunctive Programming
Yugoslav journal of operations research, Tome 8 (1998) no. 1, p. 25 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we analyze algebra (operations and transformations) and geometry of the class of continuous piecewise linear functions (k -functions), in particular, their universal representativity and the algorithms reducing them from one representation to another. For the general piecewise linear programming problem, the dual is formed and the corresponding duality theorem is presented, the method of exact penalty function is grounded, and the saddle point theorems for the disjunctive Lagrangian are proved. It is noted that the logical part of algorithmic tools to solve k-problems can be implemented as a universal computer code allowing the formation and solution of the concluding family of standard linear programs, one of which gives the solution to the original k-problem.
Classification : 90C08 90C46
Keywords: Piecewise linear functions, algebra or transformations, saddle point and duality theorems 
@article{YJOR_1998_8_1_a1,
     author = {Ivan I. Eremin},
     title = {About {Some} {Problems} of {Disjunctive} {Programming}},
     journal = {Yugoslav journal of operations research},
     pages = {25 },
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {1998},
     zbl = {1006.90055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1998_8_1_a1/}
}
TY  - JOUR
AU  - Ivan I. Eremin
TI  - About Some Problems of Disjunctive Programming
JO  - Yugoslav journal of operations research
PY  - 1998
SP  - 25 
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_1998_8_1_a1/
LA  - en
ID  - YJOR_1998_8_1_a1
ER  - 
%0 Journal Article
%A Ivan I. Eremin
%T About Some Problems of Disjunctive Programming
%J Yugoslav journal of operations research
%D 1998
%P 25 
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_1998_8_1_a1/
%G en
%F YJOR_1998_8_1_a1
Ivan I. Eremin. About Some Problems of Disjunctive Programming. Yugoslav journal of operations research, Tome 8 (1998) no. 1, p. 25 . http://geodesic.mathdoc.fr/item/YJOR_1998_8_1_a1/