Read more
Informationen zum Autor Vera Bell is an award-winning author of the trilogy, Always and Forever, set in sixteenth-century Ireland and present-day United States. Book One, Through the Veneer of Time, is her debut novel. She wrote it after trying Past Life Regression and finding herself immersed in a world so captivating, she couldn't let it go. A former commercial artist, she lives in Georgia with her husband, two teenagers, and one fur baby. Her favorite place to write is on her porch, overlooking a pond lined with river birches and magnolias. The topics she never tires of are Ireland, past lives, and love that transcends time and space. Klappentext The fabric of all societies is held together by networks of various kinds, such as water supply, energy supply, sewage disposal, communication and, perhaps most importantly, transportation. Transportation Network Analysis is concerned primarily with the spatial, but also the temporal, nature of the movement of people and freight across land, where the movement is channelled onto roads or railways. The road and rail infrastructure constitute the transportation network while the movement of people and freight constitute the flows on the network. Providing a coherent theoretical framework, this book focuses on three interdependent aspects of transportation networks: state estimation ? the estimation of path flows, vehicle queues, stops and delays; route choice ? link cost functions and the equilibrium principle; and network design ? traffic signal control, link design and link insertion or deletion. While the treatment of transportation networks is general and not specific to one mode of transport, the emphasis is on private transport by road networks with extensions to public transport indicated where appropriate. Numerous examples illustrate both definitions and algorithms. Zusammenfassung The fabric of all societies is held together by networks of various kinds! such as water supply! energy supply! sewage disposal! communication and! perhaps most importantly! transportation. Inhaltsverzeichnis Preface v 1 Introduction 1 1.1 Motivation and approach 1 1.2 Network representation 2 1.3 Modes of travel 3 1.4 Network equilibrium 3 1.5 Generalised costs 5 1.6 Demand curves 6 1.7 Link cost functions 6 1.8 Supply curves 10 1.9 lntermodal equilibrium 12 1.10 User benefit and surplus 14 1.11 Time dependency 15 1.12 Structure of the book 15 2 Transportation Networks 17 2.1 Introduction 17 2.2 Network terminology 17 2.3 Transportation network types 19 2.4 Flow and cost variables 21 2.5 Incidence matrices 22 2.6 Conservation relationships 24 2.7 Shortest path algorithms 25 2.8 Path enumeration and column generation 29 2.9 Link choice probabilities 29 2.10 Utility maximisation and expected minimum cost 33 2.11 Network capacity 34 2.12 Space-time networks 34 2.13 Network equilibrium 37 2.14 Concluding remarks 40 3 Optimality 41 3.1 Introduction 41 3.2 Kinds of variable 41 3.3 Matrix operations 42 3.4 Objective functions 45 3.5 Constraints 47 3.6 Optimality conditions 49 3.7 Dual variables 51 3.8 Lagrangian equation 54 3.9 Sensitivities 56 3.10 Method of successive averages 59 3.11 Iterative balancing 59 3.12 Summary 61 3.13 Notation 65 4 Cost Functions 67 4.1 Introduction 67 4.2 Traffic representation 67 4.3 Link costs 68 4.4 Junction costs 72 4.5 Priority junctions 78 4.6 Signal controlled junctions 78 4.7 Discussion 82 5 Deterministic User Equilibrium Assignment 83 5.1 Introduction 83 5.2 Existence and uniqueness 86 5.3 Solution algorithms ...
