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.
Multi- objective, Transportation, Fuzzy Programming, Cost, Time
International Journal of Trend in Scientific Research and Development - IJTSRD having
online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International
Journal which provides rapid publication of your research articles and aims to promote
the theory and practice along with knowledge sharing between researchers, developers,
engineers, students, and practitioners working in and around the world in many areas
like Sciences, Technology, Innovation, Engineering, Agriculture, Management and
many more and it is recommended by all Universities, review articles and short communications
in all subjects. IJTSRD running an International Journal who are proving quality
publication of peer reviewed and refereed international journals from diverse fields
that emphasizes new research, development and their applications. IJTSRD provides
an online access to exchange your research work, technical notes & surveying results
among professionals throughout the world in e-journals. IJTSRD is a fastest growing
and dynamic professional organization. The aim of this organization is to provide
access not only to world class research resources, but through its professionals
aim to bring in a significant transformation in the real of open access journals
and online publishing.