3 papers
math.OC2016
The strict complementary slackness condition in linear fractional programming
Mahmood Mehdiloozad, Kaoru Tone, Mohammad Bagher Ahmadi
The strict complementary slackness condition (SCSC) is an important concept in the duality theory of linear programming (LP). The current study aims at extending this concept to th…
math.OC2015
Measurement of returns to scale with weight restrictions: How to deal with the occurrence of multiple supporting hyperplanes?
Mahmood Mehdiloozad, Kaoru Tone, Biresh K. Sahoo
While measuring returns to scale in data envelopment analysis (DEA), the occurrence of multiple supporting hyperplanes has been perceived as a crucial issue. To deal effectively wi…
math.OC2015
Finding a maximal element of a convex set through its characteristic cone: An application to finding a strictly complementary solution
Mahmood Mehdiloozad, Kaoru Tone, Rahim Askarpour +1
In order to express a polyhedron as the (Minkowski) sum of a polytope and a polyhedral cone, Motzkin (1936) made a transition from the polyhedron to a polyhedral cone. Based on his…