%0 Journal Article %T An Alternative Approach for Solving Bi-Level Programming Problems %A Rashmi Birla %A Vijay K. Agarwal %A Idrees A. Khan %A Vishnu Narayan Mishra %J American Journal of Operations Research %P 239-247 %@ 2160-8849 %D 2017 %I Scientific Research Publishing %R 10.4236/ajor.2017.73016 %X 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. %K Linear Programming Problem %K Bi-Level Programming Problem %K Graph %K Algorithm %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=76630