Determining optimal locations for charging stations of electric car-sharing systems under stochastic demand

In this article, we introduce and study a two-stage stochastic optimization problem suitable to solve strategic optimization problems of car-sharing systems that utilize electric cars. By combining the individual advantages of car-sharing and electric vehicles, such electric car-sharing systems may help to overcome future challenges related to pollution, congestion, or shortage of fossil fuels. A time-dependent integer linear program and a heuristic algorithm for solving the considered optimization problem are developed and tested on real world instances from the city of Vienna, as well as on grid-graph-based instances. An analysis of the influence of different parameters on the overall performance and managerial insights are given. Results show that the developed exact approach is suitable for medium sized instances such as the ones obtained from the inner districts of Vienna. They also show that the heuristic can be used to tackle very-large-scale instances that cannot be approached successfully by the integer-programming-based method.

[1]  Nikolas Geroliminis,et al.  An optimization framework for the development of efficient one-way car-sharing systems , 2015, Eur. J. Oper. Res..

[2]  Maurizio Bruglieri,et al.  The vehicle relocation problem for the one-way electric vehicle sharing , 2013, ArXiv.

[3]  Richard F. Hartl,et al.  A survey on pickup and delivery problems , 2008 .

[4]  Kara M. Kockelman,et al.  THE ELECTRIC VEHICLE CHARGING STATION LOCATION PROBLEM: A PARKING-BASED ASSIGNMENT METHOD FOR SEATTLE , 2013 .

[5]  T. M. Sweda,et al.  Simultaneous vehicle routing and charging station siting for commercial Electric Vehicles , 2012, 2012 IEEE International Electric Vehicle Conference.

[6]  Shahriar Shafiee,et al.  When will fossil fuel reserves be diminished , 2009 .

[7]  Lei Xue,et al.  User-Based Vehicle Relocation Techniques for Multiple-Station Shared-Use Vehicle Systems , 2004 .

[8]  Michael H. Breitner,et al.  A Decision Support System For The Optimization Of Car Sharing Stations , 2013, ECIS.

[9]  Susan Shaheen,et al.  North American Carsharing , 2009 .

[10]  Ratna Babu Chinnam,et al.  A Stochastic Programming Approach for Electric Vehicle Charging Network Design , 2017, IEEE Transactions on Intelligent Transportation Systems.

[11]  Michael Drexl,et al.  A survey of variants and extensions of the location-routing problem , 2015, Eur. J. Oper. Res..

[12]  Oya Ekin Karasan,et al.  A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles , 2016 .

[13]  Yu Nie,et al.  A corridor-centric approach to planning electric vehicle charging infrastructure , 2013 .

[14]  Toshiyuki Yamamoto,et al.  Simulation Analysis for the Management of an Electric Vehicle–Sharing System: Case of the Kyoto Public-Car System , 2002 .

[15]  Ruey Long Cheu,et al.  Relocation Simulation Model for Multiple-Station Shared-Use Vehicle Systems: , 2006 .

[16]  Tomás Eiró,et al.  An Optimisation Algorithm to Establish the Location of Stations of a Mixed Fleet Biking System: An Application to the City of Lisbon , 2012 .

[17]  Gilbert Laporte,et al.  The static bicycle relocation problem with demand intervals , 2014, Eur. J. Oper. Res..

[18]  Markus Leitner,et al.  Overview of Optimization Problems in Electric Car-Sharing System Design and Management , 2016 .

[19]  Christian Prins,et al.  A survey of recent research on location-routing problems , 2014, Eur. J. Oper. Res..

[20]  Michael Kahr.  Determining optimal locations for electric car-sharing stations under stochastic demand , 2016 .

[21]  F. Altiparmak,et al.  The location-routing problem with simultaneous pickup and delivery: Formulations and a heuristic approach , 2012 .

[22]  Joel E. Cohen,et al.  Human Population: The Next Half Century , 2003, Science.

[23]  Jiaqi Ma,et al.  Design framework of large-scale one-way electric vehicle sharing systems: A continuum approximation model , 2016 .

[24]  Saïd Salhi,et al.  Location-routing: Issues, models and methods , 2007, Eur. J. Oper. Res..

[25]  Dominik Goeke,et al.  The Electric Vehicle-Routing Problem with Time Windows and Recharging Stations , 2014, Transp. Sci..

[26]  Alessandro Farina,et al.  A new shared vehicle system for urban areas , 2012 .

[27]  F. Kirchner,et al.  Towards electric mobility data mining , 2012, 2012 IEEE International Electric Vehicle Conference.

[28]  Elliot W. Martin,et al.  Greenhouse Gas Emission Impacts of Carsharing in North America , 2011, IEEE Transactions on Intelligent Transportation Systems.

[29]  Matthew Barth,et al.  Simulation model performance analysis of a multiple station shared vehicle system , 1999 .

[30]  Keith Crane,et al.  Energy Services Analysis: An Alternative Approach for Identifying Opportunities to Reduce Emissions of Greenhouse Gases , 2012 .

[31]  Zhenhong Lin,et al.  Charging infrastructure planning for promoting battery electric vehicles: An activity-based approach using multiday travel data , 2014 .

[32]  Güneş Erdoğan,et al.  Discrete Optimization An exact algorithm for the static rebalancing problem arising in bicycle sharing systems , 2015 .

[33]  Michael Kuby,et al.  The flow-refueling location problem for alternative-fuel vehicles , 2005 .

[34]  Gilbert Laporte,et al.  Static pickup and delivery problems: a classification scheme and survey , 2007 .

[35]  Luca Di Gaspero,et al.  A Hybrid ACO+CP for Balancing Bicycle Sharing Systems , 2013, Hybrid Metaheuristics.

[36]  Ta-Hui Yang,et al.  Strategic design of public bicycle sharing systems with service level constraints , 2011 .

[37]  Ibrahim Dincer,et al.  Economic and environmental comparison of conventional, hybrid, electric and hydrogen fuel cell vehicles , 2006 .

[38]  Said Salhi,et al.  The effect of ignoring routes when locating depots , 1989 .

[39]  Ta-Hui Yang,et al.  A hub location inventory model for bicycle sharing system design: Formulation and solution , 2013, Comput. Ind. Eng..

[40]  V. Jorge Leon,et al.  An arc cover-path-cover formulation and strategic analysis of alternative-fuel station locations , 2013, Eur. J. Oper. Res..