Author(s)

Wei Xing, Boying Wu

Department of Mathematics, Harbin Institute of Technology, Harbin, China.

In this paper, we propose a homotopy continuous method (HCM) for solving a weak efficient solution of multiobjective optimization problem (MOP) with feasible set unbounded condition, which is arising in Economical Distributions, Engineering Decisions, Resource Allocations and other field of mathematical economics and engineering problems. Under the suitable assumption, it is proved to globally converge to a weak efficient solution of (MOP), if its x-branch has no weak infinite solution.

Multiobjective Optimization Problem; Feasible Set Unbounded; Homotopy Continuous Method; Global Convergence

W. Xing and B. Wu, "Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition," Applied Mathematics, Vol. 3 No. 7, 2012, pp. 765-771. doi: 10.4236/am.2012.37114.