Solving Linear Bilevel Programming via Particle Swarm Algorithm with Heuristic Pattern Searc

Authors

Mohamed A. Tawhid, Department of Mathematics and Statistics, Faculty of Science, Thompson Rivers University, Kamloops, BC, Canada V2C 0C8\\ Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Moharam Bey 21511, Alexandria, EgyptFollow
Garrett Paluck, Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6 CanadaFollow

Abstract

A metaheuristic approach is proposed for solving linear bilevel programming problem using the Memetic Particle Swarm Algorithm which uses a Heuristic Pattern Search as the local search. The proposed algorithm has proven to be stable and capable of generating the optimal solution to the linear bilevel programming problem. The numerical results show that the metaheuristic approach is both feasible and efficient.

Recommended Citation

A. Tawhid, Mohamed and Paluck, Garrett (2017) "Solving Linear Bilevel Programming via Particle Swarm Algorithm with Heuristic Pattern Searc," Information Sciences Letters: Vol. 6 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol6/iss1/1