TITLE:
An Alternative Approach for Solving Bi-Level Programming Problems
AUTHORS:
Rashmi Birla, Vijay K. Agarwal, Idrees A. Khan, Vishnu Narayan Mishra
KEYWORDS:
Linear Programming Problem, Bi-Level Programming Problem, Graph, Algorithm
JOURNAL NAME:
American Journal of Operations Research,
Vol.7 No.3,
May
27,
2017
ABSTRACT: An algorithm is proposed in this paper for solving two-dimensional bi-level linear programming problems without making a graph. Based on the classification of constraints, algorithm removes all redundant constraints, which eliminate the possibility of cycling and the solution of the problem is reached in a finite number of steps. Example to illustrate the method is also included in the paper.