scholarly journals Inverse linear programming with interval coefficients

2016 ◽  
Vol 292 ◽  
pp. 591-608 ◽  
Author(s):  
Amin Mostafaee ◽  
Milan Hladík ◽  
Michal Černý
Keyword(s):  
Linear Programming ◽  
Interval Coefficients

THE UNIVERSAL SOLUTIONS OF INTERVAL SYSTEMS OF LINEAR ALGEBRAICAL EQUATIONS

1993 ◽  
Vol 03 (04) ◽  
pp. 477-485 ◽  
Author(s):  
L.T. ASCHEPKOV ◽  
D.V. DOLGY
Keyword(s):  
Linear Programming ◽  
Linear Equations ◽  
Constructive Methods ◽  
New Concepts ◽  
Systems Of Linear Equations ◽  
Interval Coefficients ◽  
Interval Systems ◽  
Universal Solutions

The new concepts of ε-solutions and universal solutions for systems of linear equations with interval coefficients are introduced. To find these solutions some constructive methods using linear programming technics are proposed.

scholarly journals Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Syaripuddin ◽  
Herry Suprajitno ◽  
Fatmawati
Keyword(s):  
Linear Programming ◽  
Quadratic Programming ◽  
Programming Models ◽  
Interval Coefficients ◽  
Extension Process

Quadratic programming with interval coefficients developed to overcome cases in classic quadratic programming where the coefficient value is unknown and must be estimated. This paper discusses the extension of Wolfe method. The extended Wolfe method can be used to solve quadratic programming with interval coefficients. The extension process of Wolfe method involves the transformation of the quadratic programming with interval coefficients model into linear programming with interval coefficients model. The next step is transforming linear programming with interval coefficients model into two classic linear programming models with special characteristics, namely, the optimum best and the worst optimum problem.

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