| 摘要 | 第1-14页 |
| Abstract | 第14-23页 |
| List of Figures | 第23-24页 |
| List of Tables | 第24-26页 |
| 1 Introduction and preliminaries | 第26-32页 |
| 2 Construction of orthogonal Latin hypercube designs | 第32-46页 |
| ·Introduction | 第32-34页 |
| ·Orthogonal LHDs with 2~(c+1)+1 runs and 2~c factors | 第34-36页 |
| ·Orthogonal LHDs with 2~(c+1) runs and 2~c factors | 第36页 |
| ·Comparisons with existing methods | 第36-39页 |
| ·Construction of orthogonal LHDs with flexible run sizes | 第39-42页 |
| ·Optimality properties of the constructed LHDs | 第42-44页 |
| ·Concluding remarks | 第44-46页 |
| 3 Construction of orthogonal column designs for cornputer experiments | 第46-58页 |
| ·Introduction | 第46-47页 |
| ·Some notation and related work on rotation designs | 第47-48页 |
| ·Construction of OCDs | 第48-54页 |
| ·Construction from symmetrical orthogonal arrays | 第48-52页 |
| ·Construction from asymmetrical orthogonal arrays | 第52-54页 |
| ·Construction of nearly OCDs | 第54-55页 |
| ·Concluding remarks | 第55-58页 |
| 4 Construction of nested space-filling designs with two levels of accuracy using difference matrices | 第58-70页 |
| ·Introduction | 第58-59页 |
| ·Construction of nested difference matrices | 第59-61页 |
| ·Construction of nested space-flling designs | 第61-63页 |
| ·Concluding remarks | 第63-70页 |
| 5 Construction of nested space-filling designs with multiple levels of accuracy | 第70-86页 |
| ·Introduction | 第70-71页 |
| ·The decomposition of Galois field and a projection | 第71-75页 |
·The case of u_i| 第75-76页 | |
| ·The case of u_i│u_(i+1) | 第76-82页 |
| ·Discussions and concluding remarks | 第82-86页 |
| 6 Flexible methods for constructing optimal supersaturated designs | 第86-106页 |
| ·Introduction | 第86-87页 |
| ·Preliminaries | 第87-88页 |
| ·Construction methods | 第88-96页 |
| ·The near-orthogonality of the resulting designs | 第96-99页 |
| ·Concluding remarks | 第99-101页 |
| ·Appendix | 第101-106页 |
| 7 An algorithmic approach to finding factorial designs with generalized min-imum aberration | 第106-120页 |
| ·Introduction | 第106-108页 |
| ·Reformutlation of the problem of finding GMA designs | 第108-110页 |
| ·Optimization methods | 第110-113页 |
| ·A general algorithm | 第110-111页 |
| ·Selection of y_(?) | 第111-112页 |
| ·Selection of γ | 第112-113页 |
| ·Some newly generated designs | 第113-118页 |
| ·Further discussions | 第118-120页 |
| 8 Connections between uniformity and aberration in general multi-level fac-torials | 第120-130页 |
| ·Introduction | 第120-121页 |
| ·Preliminaries | 第121-123页 |
| ·Connection between discrete discrepancy and aberration | 第123-127页 |
| ·Connections between CD_2/WD_2 and aberration | 第127-128页 |
| ·Concluding remarks | 第128-130页 |
| Bibliography | 第130-140页 |
| Acknowledgements | 第140-142页 |
| Publications and manuscripts | 第142-144页 |
| 个人简历 | 第144页 |
