A Farkas-Type Theorem for Interval Linear Inequalities

Authors: Jiří Rohn
Publication year: 2014
Publication type: Článek v odborném periodiku
Periodical: Optimization Letters
Bibliographic citation: ROHN, Jiří. A Farkas-Type Theorem for Interval Linear Inequalities. Optimization Letters. 2014, 8(4), 1591-1598. ISSN 1862-4472. E-ISSN 1862-4480
Dostupné z: doi:10.1007/s11590-013-0675-9
DOI: 10.1007/s11590-013-0675-9
ID: 394270

Abstract

We describe a Farkas-type condition for strong solvability of interval linear inequalities. The result is used to derive several descriptions of the set of strong solutions and to show that this set forms a convex polytope.