Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42Issue 7 (Special Issue)20161218First step immersion in interval linear programming with linear dependencies4353887ENM.HladíkDepartment of Applied Mathematics, Faculty of Mathematics and Physics, Charles University in Prague, Malostranske Nam. 25, 11800, Prague, Czech Republic.M.ČernýDepartment of Econometrics, University of Economics, n'am. W. Churchilla 4, 13067, Prague, Czech Republic.Journal Article20160308We 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.http://bims.iranjournals.ir/article_887_4300ceea6463c7bf9f165fe17ce6a1be.pdf