Title of article :
Optimal solution set in interval quadratic programming problem
Author/Authors :
Ghorbani Hormazdabadi, Mahdieh Kerman Branch, Islamic Azad University, Kerman, Iran , Mishmast Nehi, Hassan University of Sistan and Baluchestan, Zahedan, Iran , Allahdadi, Mehdi University of Sistan and Baluchestan, Zahedan, Iran
Abstract :
There are several methods to compute the optimal bounds of the objective function for interval quadratic programming (IQP) problems, but no method has yet been suggested to calculate a set of optimal solutions of IQP problems. This paper presents an accurate set of optimal solutions for the interval quadratic programming problems. The optimal solution of the quadratic programming problem is not essentially an extreme point. We rst propose conditions that make the optimal solutions of the IQP to extreme points and then, using these conditions, we compute the exact set of optimal solutions for the IQP problem.
Keywords :
Interval matrix , interval quadratic programming , optimal solution set , extreme point
Journal title :
Journal of Mathematical Extension(IJME)
