Fuzzy Programming Technique for Solving Different Types of Multi Objective Transportation Problem

Abstract

In today’s highly competitive market, the pressure on organizations to find better ways to create and deliver value to customers become stronger. How and when to send the products to the customers in the quantities, they want in a cost-effective manner, become more challenging. Transportation models provide a powerful framework to meet this challenge. Transportation models ensure the efficient movement and timely availability of raw materials and finished goods. This thesis is devoted to fuzzy programming technique for solving different types of multi-objective transportation problem. The main topics are multi-objective transportation problem, multi-objective capacitated transportation problem, multiobjective interval transportation problem. The chapter-wise summary of the thesis is as follows:

Chapter 1 is introductory in nature. This chapter includes basic concepts used throughout the work.

Chapter 2 presents brief review of the work done in the area of multiobjective transportation problem.

In Chapter 3, fuzzy programming technique to solve the multi-objective transportation problems with different type of membership functions is presented. To illustrate the presented technique a numerical example is solved.

In Chapter 4, fuzzy programming technique to solve multi-objective capacitated transportation problem in which the supply and demand constraints are equality type, capacity restriction on each route are specified and the objectives are conflicting in nature, is presented. To illustrate the presented technique a numerical example is solved.

In Chapter 5, we focus on the solution procedure of the multi-objective transportation problem, where the cost coefficients of the objective functions, and the source and destination parameters are expressed as interval values by the decision maker. This problem is transformed into a classical multi-objective transportation problem. The equivalent transformed problem is solved by fuzzy programming technique.