Optimization of transportation problems in fuzzy environment by zero suffix method

Abstract

In today s highly competitive market, the pressure on organizations to find better ways to create and to deliver value for customers become stronger. Transportation models provide a powerful framework to meet this challenge. This thesis is devoted to find the optimized value of the transportation problems with the new method, zero suffix method. The degeneracy problem is also avoided by this proposed method. For this proposed method an algorithm was constructed using C# Net program. One among the fuzzy techniques, which have the capability to analyze subjective and uncertain matters, fuzzy set theory is an extremely useful tool for analyzing transportation problems. This new method included procedure to determine fuzzy membership functions and to generate fuzzy rules. To develop these fuzzy approaches for transportation problem analysis, several details related to how each of the fuzzy approaches are applied were investigated. This new proposed method can also be used in Fuzzy Cost Minimizing Transportation Problems (FCMTP) and in Multi Objective Fuzzy Cost Minimizing Transportation Problems (MOFCMTP) to find the optimized value in which the demands and supply quantities are triangular fuzzy numbers. A new method namely, Separation Method is applied to find an optimal solution for Interval Integer The proposed method is also based on Zero Suffix Method. The main concepts discussed in thesis are Single-Objective Cost Minimizing Transportation Problems, Fuzzy Transportation Problems, Multi- Objective Two Stage Fuzzy Transportation Problems and Interval Integer Transportation Problems. Finally a comparison is made between Modified Distributed Method (MODI) with Zero Suffix Method (ZSM) and output is represented in graphical form. In this comparison, the success rate for the ZSM is greater than the MODI method. This new proposed method may also be applied to solve Assignment Problems and Travelling Salesman Problems in future. newline newline newline