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The park-and-ride behavior in a cumulative prospect theory-based model. (English) Zbl 1387.90040
Summary: As an effective travel demand management means, park-and-ride (P&R) mode is an important part of urban traffic. In a traffic corridor with P&R service, suppose that the travel time on highway is uncertain, a cumulative prospect theory (CPT)-based travel decision-making model is established with two travel modes of driving all the way and (P&R). With this setting, the effect of various factors such as the transit fare rate, the parking fee and the total travel demand on the CPT-based and expected utility theory (EUT)-based equilibrium results are compared. In addition, the sensitivity analysis focus on CPT-related parameters are also performed. The numerical results in our case show that the equilibrium flow on P&R mode is always underestimated in an EUT-based model, especially for a low total travel demand. Also, it is found that reducing the transit fare rate or parking fee for P&R station and raising the parking fee for CBD has the same effect on promoting more commuters transfer to P&R mode, whatever CPT-based or EUT-based model is employed. Furthermore, commuter’s reference dependence characteristic is also observed in a CPT-based model, and it is especially noticeable when the road uncertainty is large.
90B06 Transportation, logistics and supply chain management
90B20 Traffic problems in operations research
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[1] Wang, JYT; Yang, H; Lindsey, R, Locating and pricing park-and-ride facilities in a linear monocentric city with deterministic mode choice, Transp. Res. B., 38, 709-731, (2004)
[2] Liu, TL; Huang, HJ; Yang, H; Zhang, XN, Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice, Transp. Res. B., 43, 692-707, (2009)
[3] Tian, Q; Huang, HJ; Yang, H, Mode choice models based on logit stochastic equilibrium in transportation systems with park-and-ride option, J. Manag. Sci. China., 8, 1-6, (2005)
[4] Zhu, CJ; Jia, B; Han, LH; Gao, ZY, Commuting pattern with park-and-ride option for heterogeneous commuters, Discrete. Dyn. Nat. Soc., 2013, 1-8, (2013) · Zbl 1264.90049
[5] Fan, WB; Lv, X; etal., Parking pricing for two types of parking facilities under three operation regimes, J. Transp. Syst. Eng. Inf. Technol., 14, 30-35, (2014)
[6] Kahneman, D., Tversky, A.: Prospect theory: an analysis of decisions under risk. Econometrica 47(2), 263-291 (1979) · Zbl 0411.90012
[7] Baidya, A; Bera, UK; Maiti, M, Breakable fuzzy multi-stage transportation problem, J. Oper. Res. Soc. China, 3, 53-67, (2015) · Zbl 1317.90042
[8] Roy, SK, Transportation problem with multi-choice cost and demand and stochastic supply, J. Oper. Res. Soc. China., (2016) · Zbl 1342.90026
[9] Connors, RD; Sumalee, A, A network equilibrium model with travellers’ perception of stochastic travel times, Transp. Res. B., 43, 614-624, (2009)
[10] Yang, JF; Jiang, GY, Development of an enhanced route choice model based on cumulative prospect theory, Transp. Res. C., 47, 168-178, (2014)
[11] Li, XJ; Liu, LZ, Route choice model for commuters based on cumulative prospect theory, J. Transp. Syst. Eng. Inf. Technol., 15, 173-178, (2015)
[12] Avineri, E, The effect of reference point on stochastic network equilibrium, Transp. Sci., 40, 409-420, (2006)
[13] Zhao, XB; Geng, W, A note on “prospect theory and the newsvendor problem”, J. Oper. Res. Soc. China., 3, 89-94, (2015) · Zbl 1317.90041
[14] Tversky, A; Kahneman, D, Advances in prospect-theory-cumulative representation of uncertainty, J. Risk Uncertain., 5, 297-323, (1992) · Zbl 0775.90106
[15] Prelec, D, The probability weighting function, Econometrica, 66, 497-527, (1998) · Zbl 1009.91007
[16] Smith, MJ, The existence, uniqueness and stability of traffic equilibrium, Transp. Res. B., 13, 295-304, (1979)
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