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中南大学学报(英文版)

Journal of Central South University

Vol. 27    No. 1    January 2020

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Traffic assignment problem under tradable credit scheme in a bi-modal stochastic transportation network: A cumulative prospect theory approach
HAN Fei(韩飞)1, 2, ZHAO Xiang-mo(赵祥模)2, CHENG Lin(程琳)3

1. School of Automobile, Chang’an University, Xi’an 710064, China;
2. School of Information Engineering, Chang’an University, Xi’an 710064, China;
3. School of Transportation, Southeast University, Nanjing 210096, China

Abstract:The traffic equilibrium assignment problem under tradable credit scheme (TCS) in a bi-modal stochastic transportation network is investigated in this paper. To describe traveler’s risk-taking behaviors under uncertainty, the cumulative prospect theory (CPT) is adopted. Travelers are assumed to choose the paths with the minimum perceived generalized path costs, consisting of time prospect value (PV) and monetary cost. At equilibrium with a given TCS, the endogenous reference points and credit price remain constant, and are consistent with the equilibrium flow pattern and the corresponding travel time distributions of road sub-network. To describe such an equilibrium state, the CPT-based stochastic user equilibrium (SUE) conditions can be formulated under TCS. An equivalent variational inequality (VI) model embedding a parameterized fixed point (FP) model is then established, with its properties analyzed theoretically. A heuristic solution algorithm is developed to solve the model, which contains two-layer iterations. The outer iteration is a bisection-based contraction method to find the equilibrium credit price, and the inner iteration is essentially the method of successive averages (MSA) to determine the corresponding CPT-based SUE network flow pattern. Numerical experiments are provided to validate the model and algorithm.

 

Key words: tradable credit scheme; cumulative prospect theory; endogenous reference points; generalized path costs; stochastic user equilibrium; variational inequality model; heuristic solution algorithm

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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