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Journal ArticleDOI

Optimal deployment of public charging stations for plug-in hybrid electric vehicles

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TLDR
In this article, the authors developed an equilibrium modeling framework that captures the interactions among availability of public charging opportunities, prices of electricity, and destination and route choices of plug-in hybrid electric vehicles (PHEVs) at regional transportation and power transmission networks coupled by PHEVs.
Abstract
This paper develops an equilibrium modeling framework that captures the interactions among availability of public charging opportunities, prices of electricity, and destination and route choices of plug-in hybrid electric vehicles (PHEVs) at regional transportation and power transmission networks coupled by PHEVs. The modeling framework is then applied to determine an optimal allocation of a given number of public charging stations among metropolitan areas in the region to maximize social welfare associated with the coupled networks. The allocation model is formulated as a mathematical program with complementarity constraints, and is solved by an active-set algorithm. Numerical examples are presented to demonstrate the models and offer insights on the equilibrium of the coupled transportation and power networks, and optimally allocating resource for public charging infrastructure.

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Citations
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Journal ArticleDOI

A stochastic flow-capturing model to optimize the location of fast-charging stations with uncertain electric vehicle flows

TL;DR: In this paper, a stochastic flow-capturing location model (SFCLM) was developed to optimize the location of public fast charging stations for electric vehicles (EVs).
Journal ArticleDOI

Optimization models for electric vehicle service operations: A literature review

TL;DR: This study reviews the state-of-the-art mathematical modeling-based literature on EV operations management according to recurring themes, such as EV charging infrastructure planning, EV charging operations, and public policy and business models.
Journal ArticleDOI

Design framework of large-scale one-way electric vehicle sharing systems: A continuum approximation model

TL;DR: In this article, the authors proposed a Continuum Approximation (CA) model for design of a one-way electrical vehicle (EV) sharing system that serves a metropolitan area.
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A demand-side approach to the optimal deployment of electric vehicle charging stations in metropolitan areas

TL;DR: In this paper, the optimal allocation of charging infrastructures into portions (subareas) of the urban area, based on an analysis of a driver sample under the assumption of a complete switch to an equivalent fleet of electric vehicles, is investigated.
References
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Book

Nonlinear Programming

Book

Mathematical Programs with Equilibrium Constraints

TL;DR: Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems.
Journal ArticleDOI

Foundations of dynamic traffic assignment : the past, the present and the future

TL;DR: This opening paper will summarize the current understanding of DTA, review the existing literature, make the connection to the approaches presented in this special issue, and attempt to hypothesize about the future.
Journal ArticleDOI

CONOPT—A Large-Scale GRG Code

TL;DR: It is concluded that GRG codes can be very competitive with other codes for large-scale nonlinear programming from both an efficiency and a reliability point of view.
Journal ArticleDOI

Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity

TL;DR: Several stationarity concepts, based on a piecewise smooth formulation, are presented and compared and Fiacco-McCormick type second order optimality conditions and an extension of the stability results of Robinson and Kojima are presented.
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