Solution of Multi Objective Transportation Problem

Abstract

The transportation problem is one of the earliest applications of the linear programming problems. The basic transportation problem was originally developed by Hitchcock. Efficient methods of solution derived from the simplex algorithm were developed in 1947. The transportation problem can be modeled as a standard linear programming problem, which can then be solved by the simplex method. The objective of traditional transportation is to determine the optimal transportation pattern of a certain goods from supplier to demand customer so that the transportation cost become minimum and for this purpose we have different method for getting initial and optimal solution. We can get an initial basic feasible solution for the transportation problem by using the North West corner rule, Row minima, Column minima, Matrix minima, or the Vogel Approximation Method VAM . To get an optimal solution for the transportation problem, we use the MODI method Modified Distribution Method . In this paper we have developed an algorithm by fuzzy programming technique to solve multi objective transportation problem. We have also compared the result with raw maxima and EMV and show how the developed approach is more effective than other approaches. Sanjay R. Ahir | H. M. Tandel "Solution of Multi Objective Transportation Problem" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-4 , June 2021, URL: https://www.ijtsrd.compapers/ijtsrd43607.pdf Paper URL: https://www.ijtsrd.comother-scientific-research-area/other/43607/solution-of-multi-objective-transportation-problem/sanjay-r-ahir

Authors and Affiliations

Sanjay R. Ahir | H. M. Tandel

Keywords

Related Articles

Analysis of Various Image De-Noising Techniques: A Perspective View

A critical issue in the image restoration is the problem of de noising images while keeping the integrity of relevant image information. A large number of image de noising techniques are proposed to remove noise. Mainly...

Analyzation of Weak Convergence on L^p Space

In this paper a study on duality, weak convergences and weak sequential compactness on L^p space. A new generalized L^p space is investigated from the weak sequential convergence. Some more special types and properties o...

Effects of GeoGebra Software Package on the Mathematics Performance of Senior Secondary Students with Dyscalculia in Bayelsa State Nigeria

This study investigated the effects of GeoGebra software package on the mathematics performance of senior secondary students with dyscalculia in Bayelsa State Nigeria. Two research questions and two null hypotheses were...

Engineering Surveying Course Taught to Civil Engineering Students in KSA Universities A Case Study of Albaha University

An analysis of various diseases have been predicted using multiple data mining and text mining techniques. In this article we are going to discuss about 6 prediction techniques. Using gene expression pattern we predict t...

Foldable World

The document resembles the possible UX disaster that upcoming foldable phones and devices and brings along with requirements and demands. This document covers the whole possibilities of destruction that will be done beca...

Download PDF file
  • EP ID EP695855
  • DOI -
  • Views 67
  • Downloads 0

How To Cite

Sanjay R. Ahir (2021). Solution of Multi Objective Transportation Problem. International Journal of Trend in Scientific Research and Development, 5(4), -. https://europub.co.uk/articles/-A-695855