International Journal of Advanced Research in Management and Social Sciences
  • Year: 2015
  • Volume: 4
  • Issue: 12

Empirical Analysis Based on Comparison Among Various Methods of Obtaining IBFS to Unbalanced Transportation Problem

  • Author:
  • S. S. Kulkarni
  • Total Page Count: 7
  • Page Number: 1 to 7

*Head, Department of Statistics, Willlingdon College, Sangli, India

Online published on 6 May, 2016.

Abstract

This paper presents a comparative study of various methods of obtaining Initial Basic Feasible Solution (IBFS) to Unbalanced Transportation Problem viz., NWCR, Matrix-minima method (least cost method), VAM, VAMT-TOC, and method given by Kirca-Satir(1990)) with our Cost-Sum method using statistical experimental design. The measure of the quality and the effectiveness for comparison of these methods are average relative deviation and the number of iterations to reach the optimality. It is also presented that how many instances gives the IBFS≡ OBFS cost which proves the superiority of Cost-Sum method as compared to other methods.

Keywords

Unbalanced Transportation Problem (UTP), Vogel's approximation method, total opportunity cost, Cost-Sum method, total opportunity cost matrix, IBFS