A combined scalarizing method for multiobjective programming problems

作者：Rastegar Narges; Khorram Esmaile^*

来源：European Journal of Operational Research, 2014, 236(1): 229-237.

DOI：10.1016/j.ejor.2013.11.020

• Multiple objective programming
• Scalarization method
• Approximate solutions
• Properly efficient solutions
• epsilon-Properly efficient solutions

In this paper, a new general scalarization technique for solving multiobjective optimization problems is presented. After studying the properties of this formulation, two problems as special cases of this general formula are considered. It is shown that some well-known methods such as the weighted sum method, the epsilon-constraint method, the Benson method, the hybrid method and the elastic epsilon-constraint method can be subsumed under these two problems. Then, considering approximate solutions, some relationships between epsilon-(weakly, properly) efficient points of a general (without any convexity assumption) multiobjective optimization problem and epsilon-optimal solutions of the introduced scalarized problem are achieved.

• 出版日期2014-7-1