Cumulative prospect theory-based user equilibrium model with stochastic perception errors

Wei Wang , Hui-jun Sun

Journal of Central South University ›› 2016, Vol. 23 ›› Issue (9) : 2465 -2474.

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Journal of Central South University ›› 2016, Vol. 23 ›› Issue (9) : 2465 -2474. DOI: 10.1007/s11771-016-3305-8
Geological, Civil, Energy and Traffic Engineering

Cumulative prospect theory-based user equilibrium model with stochastic perception errors

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Abstract

The cumulative prospect theory (CPT) is applied to study travelers’ route choice behavior in a degradable transport network. A cumulative prospect theory-based user equilibrium (CPT-UE) model considering stochastic perception error (SPE) within travelers’ route choice decision process is developed. The SPE is conditionally dependent on the actual travel time distribution, which is different from the deterministic perception error used in the traditional logit-based stochastic user equilibrium. The CPT-UE model is formulated as a variational inequality problem and solved by a heuristic solution algorithm. Numerical examples are provided to illustrate the application of the proposed model and efficiency of the solution algorithm. The effects of SPE on the reference point determination, cumulative prospect value estimation, route choice decision and network performance evaluation are investigated.

Keywords

cumulative prospect theory / user equilibrium / stochastic perception error / variational inequality

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Wei Wang, Hui-jun Sun. Cumulative prospect theory-based user equilibrium model with stochastic perception errors. Journal of Central South University, 2016, 23(9): 2465-2474 DOI:10.1007/s11771-016-3305-8

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References

[1]

AvineriE. The effect of reference point on stochastic network equilibrium [J]. Transportation Science, 2006, 40(4): 409-420

[2]

ConnorsR D, SumaleeA. A network equilibrium model with travelers’ perception of stochastic travel times [J]. Transportation Research Part B, 2009, 43(6): 614-624

[3]

SumaleeA, ConnorsR D, LuathepP. Network equilibrium under cumulative prospect theory and endogenous stochastic demand and supply [C]. Proceeding of the 18th International Symposium Transportation and Traffic Theory, 2009New YorkSpringer19-38

[4]

XuH, LouY, YinY, ZhouJ. A prospect-based user equilibrium model with endogenous reference points and its application in congestion pricing [J]. Transportation Research Part B, 2011, 45(2): 311-328

[5]

TianL J, HuangH J, GaoZ Y. A cumulative perceived value-based dynamic user equilibrium model considering the travelers’ risk evaluation on arrival time [J]. Network and Spatial Economics, 2012, 12(4): 589-608

[6]

YangJ F, JiangG Y. Development of an enhanced route choice based on cumulative prospect theory [J]. Transportation Research Part C, 2014, 47(2): 168-178

[7]

XuH L, LamW H K, ZhouJ. Modeling road users’ behavioral change over time in stochastic road networks with guidance information [J]. Transportmetrica B: Transport Dynamics, 2014, 2(1): 20-39

[8]

MirchandaniP, SoroushH. Generalized traffic equilibrium with probabilistic travel times and perceptions [J]. Transportation Science, 1987, 21(3): 133-152

[9]

ChenA, ZhouZ, LamW H K. Modeling stochastic perception error in the mean-excess traffic equilibrium model [J]. Transportation Research Part B, 2011, 45(10): 1619-1640

[10]

XuX D, ChenA, ChengL. Assessing the effects of stochastic perception error under travel time variability [J]. Transportation, 2013, 40(3): 525-548

[11]

LoH K, LuoX W, SiuB W Y. Degradable transport network: travel time budget of travelers with heterogeneous risk aversion [J]. Transportation Research Part B, 2006, 40(9): 792-806

[12]

SiuB W Y, LoH K. Travel time budget in doubly uncertain transport network: Degradable capacity and stochastic demand [J]. European Journal of Operational Research, 2008, 191(1): 166-181

[13]

HillI D, HillR, HolderR L. Algorithm AS 99: Fitting Johnson curves by moments [J]. Journal of the Royal Statistical Society: Series C (Applied Statistics), 1976, 25(2): 180-189

[14]

ClarkS, WaltingD. Modeling network travel time reliability under stochastic demand [J]. Transportation Research Part B, 2005, 39(2): 119-140

[15]

WangW, SunH J, WuJ J. Robust user equilibrium model based on cumulative prospect theory under distribution-free travel time [J]. Journal of Central South University, 2015, 22(2): 761-770

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