Dynamic networks and evolutionary variational inequalities:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cheltenham, UK
Elgar
2006
|
| Series: | New dimensions in networks
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 253 S. Ill. |
| ISBN: | 9781843769293 1843769298 |
Staff View
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| adam_text | Contents
List of Figures vii
List of Tables ix
Acknowledgments xi
1 Introduction 1
2 The Traffic Equilibrium Problem 7
2.1 Static Case 7
2.2 Dynamic Case 10
2.3 Existence Theorems 15
2.4 Additional Constraints 17
2.5 Calculation of the Solution 19
2.6 Delay and Elastic Model 38
2.7 Sources and Remarks 49
3 Evolutionary Spatial Price Equilibrium 51
3.1 The Price Formulation 51
3.2 The Quantity Formulation 79
3.3 Economic Model for Demand-Supply Markets 93
3.4 Sources and Remarks 108
4 The Evolutionary Financial Model 109
4.1 Quadratic Utility Function 110
4.2 General Utility Function 136
4.3 Policy Intervention 150
4.4 A Numerical Financial Example 166
v
vi Contents
4.5 Sources and Remarks 170
5 Projected Dynamical Systems 171
5.1 Finite-Dimensional PDS 171
5.2 Infinite-Dimensional PDS 173
5.3 Common Formulation 180
5.4 General Uniqueness Results 181
5.5 The Relation Between the Two Timeframes 183
5.6 Computational Procedure 186
5.7 Numerical Dynamic Traffic Examples 187
5.8 Sources and Remarks 198
A Definitions and Properties 201
A.I Functions and Related Properties 201
A.2 Multifunctions and Related Properties 203
A.3 Cones and Related Properties 204
B Weak Convergence 209
C Generalized Derivatives 213
C.I Directional Derivatives 213
C.2 Gateaux and Frechet Derivatives 214
C.3 Subdifferential 216
D Variational Inequalities 219
D.I Finite Dimension 219
D.2 Infinite Dimension 220
E Quasi-Variational Inequalities 225
E.I Finite Dimension 225
E.2 Infinite Dimension 226
F Infinite Dimensional Duality 227
Bibliography 233
Index 251
List of Figures
2.1 Network with travel demand p(t) =t 13
2.2 Network with general travel demand p(t) 22
2.3 Rectangular network 44
3.1 Network with two supply and two demand markets ... 70
3.2 Network with two supply and one demand markets ... 73
3.3 Supply and demand markets a.e. in [A, 1 + A] 104
4.1 Multi-sector multi-instrument network a.e. in[0, T] . . . 113
4.2 Multi-sector multi-instrument network at equilibrium . . 117
4.3 Two sectors and two financial instruments network a.e. in
[0,1] 166
5.1 Network with a single O/D pair 188
5.2 Equilibrium flows for Example 5.7.1 190
5.3 Network with 2 O/D pairs 192
5.4 Equilibrium flows for Example 5.7.2 195
5.5 Equilibrium flows for Example 5.7.3 199
vii
List of Tables
5.1 Equilibrium points for the network in Example 5.7.1 . . . 189
5.2 Equilibrium points for the network in Example 5.7.2 . . . 194
5.3 Equilibrium points for the network in Example 5.7.3 . . . 198
ix
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| indexdate | 2024-07-10T00:00:20Z |
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| isbn | 9781843769293 1843769298 |
| language | English |
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| physical | XI, 253 S. Ill. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | Elgar |
| record_format | marc |
| series2 | New dimensions in networks |
| spelling | Daniele, Patrizia Verfasser aut Dynamic networks and evolutionary variational inequalities Patrizia Daniele Cheltenham, UK Elgar 2006 XI, 253 S. Ill. txt rdacontent n rdamedia nc rdacarrier New dimensions in networks Equilibrium (Economics) Dynamisches Gleichgewicht (DE-588)4228432-6 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Dynamisches Netzwerk (DE-588)4150934-1 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Netzwerk (DE-588)4171529-9 s Gleichgewichtstheorie (DE-588)4071876-1 s Dynamisches Gleichgewicht (DE-588)4228432-6 s Dynamisches Netzwerk (DE-588)4150934-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024178906&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Daniele, Patrizia Dynamic networks and evolutionary variational inequalities Equilibrium (Economics) Dynamisches Gleichgewicht (DE-588)4228432-6 gnd Netzwerk (DE-588)4171529-9 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| subject_GND | (DE-588)4228432-6 (DE-588)4171529-9 (DE-588)4150934-1 (DE-588)4071876-1 |
| title | Dynamic networks and evolutionary variational inequalities |
| title_auth | Dynamic networks and evolutionary variational inequalities |
| title_exact_search | Dynamic networks and evolutionary variational inequalities |
| title_full | Dynamic networks and evolutionary variational inequalities Patrizia Daniele |
| title_fullStr | Dynamic networks and evolutionary variational inequalities Patrizia Daniele |
| title_full_unstemmed | Dynamic networks and evolutionary variational inequalities Patrizia Daniele |
| title_short | Dynamic networks and evolutionary variational inequalities |
| title_sort | dynamic networks and evolutionary variational inequalities |
| topic | Equilibrium (Economics) Dynamisches Gleichgewicht (DE-588)4228432-6 gnd Netzwerk (DE-588)4171529-9 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| topic_facet | Equilibrium (Economics) Dynamisches Gleichgewicht Netzwerk Dynamisches Netzwerk Gleichgewichtstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024178906&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT danielepatrizia dynamicnetworksandevolutionaryvariationalinequalities |