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Academic Lecture: Stochastic Network Equilibrium with Inertial Behaviors
2015-12-21
Time: 13:30, Dec. 30, 2015
Venue: Lecture hall at College of Transport & Management
Speaker: Dr. Chi Xie, Shanghai Jiao Tong University
Abstract:
Uncertainties or variations associated with both transportation supplies and travel demands seem inherently natural and may arise in infinite varieties. Numerous evidences show that traffic network flows vary with changing network conditions and demand rates over time. Although the resulting traffic network flows vary from one scenario to another (or from one period to another), they are not mutually separate and uncorrelated, since the traffic flow entities—individual travelers—experience multiple network scenarios (or periods) and their routing decisions are in general a synthetic result of their long-term learning process over different network states. Understanding the underlying correlation through varying traffic networks is critical to describing and evaluating traffic dynamics caused by scenario-to-scenario (or period-to-period) system supply and demand variations. In this talk, we introduce a new equilibrium modeling scheme for stochastic networks with a finite number of states, which takes into account the behavioral inertia. A finite-dimensional variational inequality model is formulated to describe the cross-state equilibrium conditions among heterogeneous travelers with different inertial degrees and knowledge structures. Our model allows for traveler’s partial understanding and inertial effect in perceiving varying network conditions and provides a different perspective (from existing stochastic and Markovian network equilibrium approaches) to describe traffic flow variations across multiple network scenarios.
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