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Focusing on dynamic network flows, the book explores how drivers select routes in road networks to minimize their travel time based on real-time information. It introduces the concept of instantaneous dynamic equilibrium, where each flow particle adjusts its route in response to network changes. The author provides a precise mathematical definition of this equilibrium, investigates the existence of such flows, examines their computational complexity, and establishes quality bounds, offering a comprehensive analysis of traffic behavior in dynamic environments.
Nákup knihy
Dynamic Network Flows with Adaptive Route Choice based on Current Information, Lukas Graf
- Jazyk
- Rok vydania
- 2024
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- Titul
- Dynamic Network Flows with Adaptive Route Choice based on Current Information
- Jazyk
- anglicky
- Autori
- Lukas Graf
- Vydavateľ
- Springer Fachmedien Wiesbaden
- Rok vydania
- 2024
- Väzba
- mäkká
- Počet strán
- 296
- ISBN13
- 9783658449476
- Kategórie
- Matematika
- Anotácia
- Focusing on dynamic network flows, the book explores how drivers select routes in road networks to minimize their travel time based on real-time information. It introduces the concept of instantaneous dynamic equilibrium, where each flow particle adjusts its route in response to network changes. The author provides a precise mathematical definition of this equilibrium, investigates the existence of such flows, examines their computational complexity, and establishes quality bounds, offering a comprehensive analysis of traffic behavior in dynamic environments.