%0 Journal Article
%T First step immersion in interval linear programming with linear dependencies
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Hladík, M.
%A Černý, M.
%D 2016
%\ 12/18/2016
%V 42
%N Issue 7 (Special Issue)
%P 43-53
%! First step immersion in interval linear programming with linear dependencies
%K Linear programming
%K interval analysis
%K linear dependencies
%R
%X We consider a linear programming problem in a general form and suppose that all coefficients may vary in some prescribed intervals. Contrary to classical models, where parameters can attain any value from the interval domains independently, we study problems with linear dependencies between the parameters. We present a class of problems that are easily solved by reduction to the classical case. In contrast, we also show a class of problems with very simple dependencies, which appear to be hard to deal with. We also point out some interesting open problems.
%U http://bims.iranjournals.ir/article_887_4300ceea6463c7bf9f165fe17ce6a1be.pdf