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研究生:雷中仁
研究生(外文):Lionel Francisco Gonzalez Casanova
論文名稱:An Ant Colony Optimization Algorithm for the Multi-Objective Gate Assignment Problem
論文名稱(外文):An Ant Colony Optimization Algorithm for the Multi-Objective Gate Assignment Problem
指導教授:丁慶榮丁慶榮引用關係
學位類別:碩士
校院名稱:元智大學
系所名稱:工業工程與管理學系
學門:工程學門
學類:工業工程學類
論文種類:學術論文
論文出版年:2011
畢業學年度:99
語文別:英文
論文頁數:122
中文關鍵詞:Ant Colony OptimizationQuadratic Assignment ProblemGate Assignment problemMulti-Objective Optimization
外文關鍵詞:Ant Colony Optimization, Quadratic Assignment Problem, Gate Assignment problem, Multi-Objective Optimization
相關次數:
  • 被引用被引用:0
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In this research, the Gate Assignment Problem (GAP) is considered with reference to two objectives. The first objective is to minimize total walking distance of passengers to departure gates, check-in counters, and connection flights. The second one is to minimize number of flights assigned to the apron. Essentially, the GAP seeks the optimal flight-to-gate assignments so that total passenger walking distances and consequent connection times are minimized. A weighted sum of two objectives to the GAP is used by adding a penalty to flights assigned to the apron. An algorithm is used based on the Ant Colony Optimization (ACO) method to minimize our bi-objective gate assignment problem. Our goal is to apply the ACO to the GAP by achieving a near optimal solution. The behavior of each ant is critical for fast convergence to (near) optimal solutions of the GAP. The numerical experiments investigate whether the ACO approach is an efficient method to obtain good solutions in our proposed GAP model. The performance of this approach is evaluated in a variety of test problems. The commercial Gurobi Solver and a First Come First Served heuristic algorithm are used as baselines to compare our ACO results for small and large size instances, respectively. An instance generator was used to generate data for arrival and departure times, and additional specifications of flights.

In this research, the Gate Assignment Problem (GAP) is considered with reference to two objectives. The first objective is to minimize total walking distance of passengers to departure gates, check-in counters, and connection flights. The second one is to minimize number of flights assigned to the apron. Essentially, the GAP seeks the optimal flight-to-gate assignments so that total passenger walking distances and consequent connection times are minimized. A weighted sum of two objectives to the GAP is used by adding a penalty to flights assigned to the apron. An algorithm is used based on the Ant Colony Optimization (ACO) method to minimize our bi-objective gate assignment problem. Our goal is to apply the ACO to the GAP by achieving a near optimal solution. The behavior of each ant is critical for fast convergence to (near) optimal solutions of the GAP. The numerical experiments investigate whether the ACO approach is an efficient method to obtain good solutions in our proposed GAP model. The performance of this approach is evaluated in a variety of test problems. The commercial Gurobi Solver and a First Come First Served heuristic algorithm are used as baselines to compare our ACO results for small and large size instances, respectively. An instance generator was used to generate data for arrival and departure times, and additional specifications of flights.

ACKNOWLEDGEMENTS ii
Abstract iii
Table of Contents v
List of Figures viii
List of Tables ix
Chapter 1 Introduction 1
1.1 Research Background 1
1.2 Research Motivation 3
1.3 Research Objectives 5
1.4 Thesis Organization 6
Chapter 2 Literature Review 7
2.1 Quadratic Assignment Problem 7
2.2 Gate Assignment Problem 12
2.3 Multiple-Objective Gate Assignment Problem 15
2.4 Exact Methods and Heuristic Algorithms Applied to the GAP 18
2.4.1 Linear Programming 18
2.4.2 Branch and Bound 22
2.4.3 Genetic Algorithms for the GAP 23
2.5 Ant Colonies for the GAP 24
2.5.1 The Original Ant System 24
2.5.2 Max-Min Ant System 26
2.5.3 Ant Colony System 27
2.5.4 Rank-based Ant System 28
2.5.5 Ant Colonies for the QAP 28
2.5.6 Ant Colony Optimization Approach to Multiple Objectives 30
2.6 Summary 31
Chapter 3 Research Methodology 33
3.1 Quadratic Assignment Problem 33
3.1.1 Assumptions and Problem Formulation 33
3.1.2 Model Formulation 34
3.1.3 Ant Colony System for the QAP 34
3.2 Gate Assignment Problem 39
3.2.1 Assumptions and Problem Formulation 40
3.2.2 Ant Colony System for the GAP 42
3.3 The Multi-Objective Gate Assignment Problem 49
3.4 Summary 53
Chapter 4 Computational Experiments 55
4.1 QAP Instances 55
4.1.1 Parameter Sensitivity Analysis 56
4.1.2 QAP Results 60
4.2 Single Objective GAP Test Problems 62
4.2.1 Parameter Sensitivity Analysis of ACO-GAP 67
4.2.2 GAP Results 70
4.3 Multi-objective Gate Assignment Problem 77
4.4 Summary 91
Chapter 5 CONCLUSIONS 94
5.1 Major Findings 95
5.2 Recommendations 96
5.3 Directions for Future Research 98
REFERENCES 99
APPENDIX 110


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