Multiple equilibrium behaviors and advanced traveler information systems with endogenous market penetration
We consider a specific advanced traveler information system (ATIS) whose objective is to reduce drivers' time uncertainty with recurrent network congestion through provision of traffic information to drivers. Suppose drivers equipped with an ATIS will receive complete information and hence be able to find the minimum travel time routes in a user-optimal manner, while drivers not equipped with an ATIS will have only incomplete information and hence may take longer travel time routes in a stochastic manner. We propose a convex programming model and an algorithm to solve this mixed behavior equilibrium problem for any given level of the market penetration of ATIS. Furthermore, suppose that the information benefit received by a driver who buys an ATIS is measured as the travel time saving (stochastic mean travel time minus deterministic minimum travel time in a mixed behavior equilibrium over a common network), and the market penetration of ATIS is determined by a continuous increasing function of the information benefit, then we have a variable, mixed behavior equilibrium model with endogenous market penetration in an ATIS environment. We establish the existence, uniqueness and stability of this performance and demand equilibrium of ATIS, and propose an iterative procedure to calculate the ATIS market penetration and the resulting equilibrium network flow pattern.
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Volume (Year): 32 (1998)
Issue (Month): 3 (April)
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References listed on IDEAS
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- Bennett, Lloyd D., 1993. "The existence of equivalent mathematical programs for certain mixed equilibrium traffic assignment problems," European Journal of Operational Research, Elsevier, vol. 71(2), pages 177-187, December.
- Mingyuan Chen & Attahiru Sule Alfa, 1991. "Algorithms for solving fisk's stochastic traffic assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 405-412, December.
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- Yang, Reddy H & Vaughn, K M & Abdel-Aty, M A & Kitamura, R & Jovanis, P P, 1995. "Design of an Artificial Simulator for Analyzing Route Choice Behavior in the Presence of Information System," Institute of Transportation Studies, Working Paper Series qt93x4h7pp, Institute of Transportation Studies, UC Davis.
- P. D. F. Strydom, 1994. "The economics of information," Chapters, in: The Elgar Companion to Austrian Economics, chapter 24 Edward Elgar Publishing.
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