论文信息 - Optimal and strongly optimal solutions for linear programming models with variable parameters

Optimal and strongly optimal solutions for linear programming models with variable parameters

This paper deals with linear programming (LP) models with variable parameters and introduces two concepts for this class of problems: optimal solution and strongly optimal solution. Also, it seeks necessary and sufficient conditions for a feasible solution to be optimal or strongly optimal.

Majid Soleimani-Damaneh | Gholam Reza Jahanshahloo

[1] Eldon Hansen,et al. Global optimization using interval analysis , 1992, Pure and applied mathematics.

[2] Ali Asghar Foroughi,et al. Finding a weights-restricted efficient (extreme) point and using it for solving MOLP problems , 2004, Appl. Math. Comput..

[3] Paolo Serafini. Linear programming with variable matrix entries , 2005, Oper. Res. Lett..

[4] Christian Jansson,et al. A self-validating method for solving linear programming problems with interval input data , 1988 .

[5] Ta Van Tu,et al. Optimization over the efficient set of a parametric multiple objective linear programming problem , 2000, Eur. J. Oper. Res..

[6] Hanif D. Sherali,et al. Linear Programming and Network Flows , 1977 .