000 | 02966 a2200181 4500 | ||
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020 | _a9780471964933 | ||
082 |
_a388.068 _bBEL |
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100 |
_aBell, Michael G. H. _952250 |
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245 | _aTransportation network analysis | ||
260 |
_aWest Sussex _bJohn Wiley & Sons _c1997 |
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300 | _aix,216p. | ||
505 | _aCONTENTS Preface V 1 Introduction1 1.1 Motivation and approach Network representation 2 Modes of travel 3 Network equilibrium 3 Generalised costs 5 Demand curves 6 Link cost functions 6 Supply curves 10 Intermodal equilibrium 12 User benefit and surplus 14 Time dependency 1ยง Structure of the book 15 2 Transportation Networks 17 Introduction 17 Network terminology 19 Transportation network types 21 Flow and cost variables 22 Incidence matrices 24 Conservation relationships 25 Shortest path algorithms 29 Path enumeration and column generation 29 Link choice probabilities 33 Utility maximisation and expected minimum cost 34 Network capacity 34 Space-time networks 37 Network equilibrium 40 Concluding remarks 40 3 Optimality Introduction 41 Kinds of variable 41 Matrix operations 42 Objective functions 45 Constraints 47 Optimality conditions 49 Dual variables 51 Lagrangian equation 54 Sensitivities 56 Method of successive averages 59 Iterative balancing 59 Summary 61 Notation 65 4 Cost Functions 67 Introduction 67 Traffic representation 67 Link costs 68 Junction costs 72 Priority junctions 78 Signal controlled junctions 78 Discussion 82 5 Deterministic User Equilibrium Assignment 83 Introduction 83 Existence and uniqueness ' 86 Solution algorithms 89 Sensitivity 95 Most likely path flows 100 Elastic demand 102 Time-dependent networks 108 Discussion 111 6 Stochastic User Equilibrium Assignment 113 Introduction 113 Existence and uniqueness 115 A general equivalent optimisation problem 118 Logit assignment 120 Probit assignment 133 Sensitivity 134 Elastic demand 138 Space-time networks 140 Discussion 148 7 Trip Table Estimation 149 Introduction 149 Maximum entropy 150 An generalised least squares 155 Bi-level programming 156 Linear path flow estimation 160 Log-linear path flow estimation 164 Time-dependent methods 170 Conclusions 176 8 Network Reliability 179 Introduction 179 Connectivity 179 Structure function 180 Structure function and reliability value 183 Exact methods 185 Heuristic methods 186 Travel time reliability 191 Future challenges 192 9 Network Design 193 Introduction 193 Objective function 195 Bi-Level programming 196 Sensitivities 197 Numerical example 199 Conclusions 204 10 Conclusions 205 Network equilibrium 205 Traffic assignment 206 Path flow estimation 207 Network reliability 208 Network design 208 References 209 Index 215 | ||
600 | _952024 | ||
700 |
_aLida, Yasunori _952022 |
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890 | _aUK | ||
891 | _aFT | ||
942 | _2ddc | ||
999 |
_c45073 _d45073 |