Line Search and Genetic Approaches forSolving Linear Tri-level Programming Problem

in the recent years, the multi level programming problems specially the bi level and trilevel programming problems TLPP are interested by many researchers and these problems, particularly TLPLP are known as an appropriate tool to solve the real problems in several areas of optimization such as economic, traffic finance the liternture shows ig has been proposed a few attempts for solving using TLPP. in this paper, we attempt to propose a new function for smoothing the trilevel programming problem after usning karush kuhn tucker condition also we develop two effective apporaches, and based on genetic algorighm,

Keywords:

Linear bi-level programming problem , Linear tri -levelprogramming problem , Karush-Kuhn-Tucker conditions , Genetic theorem , Line search method