

Articles
by
M.S. Osman 
Total Records (
1 ) for
M.S. Osman 





M.S. Osman
,
W.F. Abd ElWahed
,
Mervat M.K. El Shafei
and
Hanaa B. Abd El Wahab


Problem statement: We deal with the bilevel linear programming problem. A bilevel programming problem is formulated for a problem in which two DecisionMakers (DMs) make decisions successively. Approach: In this research we studied and designs a Genetic Algorithm (GA) of BiLevel Linear Programming Problems (BLPP) by constructing the fitness function of the upperlevel programming problems based on the definition of the feasible degree. This GA avoids the use of penalty function to deal with the constraints, by changing the randomly generated initial population into an initial population satisfying the constraints in order to improve the ability of the GA to deal with the constraints. Also we designed software to solve this problem. A comparative study between proposed method and previous methods through numerical results of some examples. Finally, parametric information of the GA was introduced. Results: Results of the study showed that the proposed method is feasible and more efficient to solve (BLPP), also there exist package to solve (BLPP) problem. Conclusion: This GA avoids the use of penalty function to deal with the constraints, by changing the randomly generated initial population into an initial population satisfying the constraints in order to improve the ability of the GA to deal with the constraints. 





