Active robust optimization

✍ Scribed by Salomon S

• Publisher: Springer
• Year: 2019
• Tongue: English
• Leaves: 194
• Series: Springer Theses. Recognizing Outstanding Ph.D. Research
• Category: Library

✦ Table of Contents

Supervisor’s Foreword......Page 7
Abstract......Page 9
Acknowledgements......Page 10
Contents......Page 12
Nomenclature......Page 15
List of Figures......Page 19
List of Tables......Page 22
1 Introduction......Page 23
1.2 Outline of the Thesis......Page 25
1.3 Contributions......Page 27
References......Page 29
2.1 Uncertainties in Engineering Design......Page 30
2.1.1 Types of Uncertainties......Page 31
2.1.2 Sources of Uncertainties......Page 32
2.2 Design Methods for Coping with Uncertainties......Page 33
2.2.1 Robust Design......Page 35
2.2.2 Design for Adaptability......Page 37
2.2.3 Design for Reconfigurability......Page 38
2.2.4 Design for Flexibility......Page 40
2.2.5 Evaluation Measures for Changeable Products......Page 41
2.3.1 Nomenclature Explained......Page 45
2.3.2 Common Optimization Methods......Page 47
2.3.3 Multi-objective Optimization......Page 48
2.3.4 Evaluation Measures for Sets......Page 51
2.3.5 Dynamic Optimization......Page 57
2.4 Robust Optimization......Page 58
2.4.1 Robustness Indicators......Page 59
2.4.2 Robust Multi-objective Optimization......Page 63
2.4.3 Robust Optimization of Changeable Systems......Page 65
2.5 Research Gaps......Page 67
References......Page 70
3.1 Introduction......Page 77
3.2.1 Variables......Page 78
3.2.2 Objective Functions......Page 79
3.3 Problem Formulation......Page 80
3.4.1 Problem Formulation......Page 81
3.4.3 Uncertainty Propagation to the Objective Function......Page 83
3.5 Optimizing for Robustness......Page 87
3.5.1 AROP Solution for Different Definitions of Robustness......Page 88
3.5.2 Comparison With a Non-adaptive Robust Solution......Page 91
3.6 Sampled Representation of the Uncertainties......Page 95
3.7.1 Type B Uncertainty......Page 97
3.7.2 Type C Uncertainty......Page 101
3.8 Summary......Page 104
References......Page 105
4.1 Introduction......Page 107
4.2 Problem Formulation......Page 108
4.3.1 Functions Analysis......Page 109
4.3.2 Introducing Uncertainties......Page 111
4.3.3 Introducing Adaptability......Page 113
4.4 Evaluating Candidate Solutions for ARMOPs......Page 115
4.4.1 Requirements from Robustness Indicators for ARMOPs......Page 116
4.4.2 Single-Objectivization......Page 118
4.4.3 Decomposition-Based Approach Using Scalarization......Page 121
4.4.4 Set-Based Unary Indicator......Page 125
4.4.5 Set-Based Binary Indicator......Page 128
4.5 Solution Approach to ARMOPs......Page 130
4.5.1 A Generic Algorithm for Solving ARMOPs......Page 131
4.5.2 Indicator-Specific Algorithms......Page 132
4.6 Review of Solution Methods for ARMOPs......Page 135
4.7 Summary......Page 138
References......Page 140
5.2 Optical Table......Page 141
5.2.1 Formulation......Page 142
5.2.2 Simulations and Results......Page 148
5.2.3 Discussion......Page 150
5.3 Gearbox Design—Single-Objective Formulation......Page 152
5.3.1 Background......Page 153
5.3.2 Motor and Gear System......Page 155
5.3.3 Problem Formulation......Page 158
5.3.4 Simulation Results......Page 161
5.3.5 Robustness of the Obtained Solutions......Page 163
5.3.6 Discussion......Page 167
5.4 Gearbox Design—Multi-objective Formulation......Page 168
5.4.2 Problem Formulation......Page 169
5.4.3 Optimiser Design......Page 171
5.4.4 Simulation Results......Page 174
5.4.5 Discussion......Page 176
5.5 Summary......Page 177
References......Page 178
6 Conclusions......Page 180
6.1.1 Framework for Active Robust Optimization......Page 182
6.1.2 Framework for Active Robust Multi-objective Optimization......Page 183
6.1.3 Case Study Applications......Page 184
6.3 Future Work......Page 188
References......Page 191
Appendix Calculation of the qε+ Indicator......Page 192
References......Page 194