Abstract

The limited driving range and the unavailability or insufficiency of battery charging/swapping stations cause the so-called range anxiety issue for traffic assignment involving battery electric vehicle (BEV) users. In addition, expected utility theory-based stochastic user equilibrium (EUT-SUE) model generates the perfectly rational issue when the travellers make route choice decisions. To tackle these two problems, this article improves the cumulative prospect theory-based stochastic user equilibrium (CPT-SUE) model in a degradable transport network through incorporating the constraints of multiple user classes and distance limit. In this degradable network, the travellers experience stochastic travel times due to network link capacity degradations. For this improved CPT-SUE model, the equivalent variational inequality (VI) model and associated method of successive averages (MSA) based solution are provided. The improved CPT-SUE model is tested and compared with the EUT-SUE model with distance limit, with results showing that the improved CPT-SUE model can handle jointly the range anxiety issue and the perfectly rational issue.

Highlights

  • Electric vehicles (EVs) are believed to be one of the promising approaches to reduce greenhouse emissions and air pollution

  • To simplify the complexity of the improved cumulative prospect theory-based stochastic user equilibrium (CPT-stochastic user equilibrium (SUE)) model, a series of assumptions are proposed based on the research of Jiang et al [19]. –– gasoline vehicle (GV) users and battery electric vehicle (BEV) users are considered for the travel demand population. –– Total travel demand for each type of vehicle at each origin is fixed. –– GV users and BEV users spend the same amount of time on the same path. –– All BEVs are assumed to be fully charged at origins

  • In order to deal with these two issues, this paper improves the cumulative prospect theory (CPT)-SUE model in a degradable transport network through incorporating the constraints of multiple user classes and distance limit, for which, an equivalent variational inequality model and associated method of successive averages (MSA) based solution are provided, and the existence and equivalence of model solution are proved

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Summary

INTRODUCTION

Electric vehicles (EVs) are believed to be one of the promising approaches to reduce greenhouse emissions and air pollution. Despite the increasing adoptions of EVs, especially battery electric vehicles (BEVs), into the road traffic, the limited driving range (e.g. Pearre et al [3]) and scarcity of battery charging/swapping stations (e.g. Morrow et al [4] and Dong et al [5]) pose a wellknown range anxiety issue [6]. The objective of this paper is to improve the cumulative prospect theory-based stochastic user equilibrium (CPT-SUE) model by incorporating the constraints of multiple user classes and distance limit to jointly deal with the range anxiety issue and perfectly rational issue.

LITERATURE REVIEW
CALCULATION OF CUMULATIVE PROSPECT VALUE
Path travel time distribution
Reference point
Cumulative prospect theory
The improved CPT-SUE model
The equivalent VI model
Preliminary
Path flow comparison
Influence of distance limit parameter on path flows
Generality analysis of the improved CPT-SUE model
Findings
CONCLUSIONS
Full Text
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