A fuzzy set-theoretic approach to the multi-objective interval transportation problem : 불확실한 모수를 갖는 다목적 수송 문제에 대한 퍼지집합접근법

다국어 초록 (Multilingual Abstract)

The aim of this master thesis is to explore the interval transportation problem with multiple objectives and develop a compromise solution based on the fuzzy programming approach. The two objectives in the multi-objective transportation problem (MOTP) model are to minimize the delivery time and maximize the profit.
The study considers the left and the right bounds and the center of given intervals. The center and the left of profit maximization interval can be considered as the expected value and the uncertainty of an interval respectively. This order relation represents the decision maker's preference for the alternative with the higher expected value and less uncertainty. The center and the right of delivery time minimization interval can be considered as the expected value and the uncertainty of an interval respectively. The order relation represents the decision maker's preference for the alternative with the lower expected value and less uncertainty.
The research work determines the optimal compromise solution of multi-objective interval transportation problem with profit and delivery time objectives by using fuzzy programming algorithm. Numerical example has been provided to illustrate the solution procedure. The data for this thesis was collected by Patel and Dhodiya (2017). The data have been processed using MATLAB programming language and have been applied to the Russian coal industry, particularly to SUEN Company, one of the leading coal producers in Russia.

목차 (Table of Contents)

• CHAPTER 1. INTRODUCTION 1
• 1.1. Background and purpose of study 1
• 1.2. Literature review 2
• 1.3. Structure of research study 6
• CHAPTER 2. PROBLEM STATEMENT 7
• 2.1 Transportation problem and its various extensions 7
• 2.2 Mathematical formulation of classical transportation
• model 7
• 2.3 Multi-objective transportation problem 11
• 2.4 Multi-objective interval transportation problem 13
• 2.4.1 Optimization of the interval objective function 14
• 2.4.2 Order relations for minimization problem 15
• 2.4.3 Order relations for maximization problem 15
• 2.5 The fuzzy set theoretic approach 16
• 2.6 The multi-objective interval transportation problem
• with delivery time minimization and profit maximization 18
• 2.6.1 Problem definition 18
• 2.6.2 The new objective function 19
• 2.6.3 The concept of center and width which used in
• multi-objective interval transportation problem 20
• CHAPTER 3. SOLUTION METHODOLOGY 22
• CHAPTER 4. MODEL APPLICATION AND RESULTS 24
• 4.1 Case from Russian coal industry 24
• 4.2 New model in case of Russian coal industry 27
• 4.3 Solution 27
• 4.4 Result interpretation and performance evaluation 33
• CONCLUSION 35
• REFERENCES 37
• ABSTRACT
• ACKNOWLEDGEMENTS