Mathematical Programming Techniques for solving MCDA problems

In MCDA problem, the outranking methodology of ELECTRE TRI method provides a compromise solution. An attempt is made in developing spreadsheet procedures for ELECTRE TRI method. The algorithm proposed is a user-friendly one and allows the user to handle the complex dimensioned MCDA problems very simply using the defined macro. To meet the main objective of goal programming, i.e., minimizing the sum of deviations, two new methods are proposed. The proposed methods showed better results in minimizing the deviations when compared to conventional goal programming model. A derivative ratio methodology, namely the Analytical Hierarchy Process has been used to test the consistency of the weights under goal programming model. Further, the practical importance, scope and usage of this technique in handling goal programming model are highlighted. It is shown that the weights which are proved as consistent, these weights will provide better performance than the weights which are inconsistent.

Dr. Ganesh is working as Assistant Professor at the Department of Mathematics, National Institute of Technology (NIT) Hamirpur, Himachal Pradesh. He obtained his MSc, Ph.D. in Statistics from SV University, Tirupati. His areas of research include Operations Research, Distribution Theory, Stochastic Processes, and Biostatistics.