Optimal Routing for Plug-In Hybrid Electric Vehicles

We propose routing algorithms for plug-in hybrid electric vehicles (PHEVs) that account for the significant energy efficiency differences of vehicle operating modes and recommend the predominant mode of operation for each road segment during route planning. This is to enhance fuel economy and reduce emissions. We introduce the energy-efficient routing problem (EERP) for PHEVs and formulate this problem as a new class of the shortest path problem. The objective of the EERP is to not only find a path to any given destination but also to identify the predominant operating mode for each segment of the path to minimize fuel consumption. EERP can be generalized to a new class of problems in the context of network optimization, where for each arc we need to choose which resources to use to minimize the consumption of one of the resources subject to a constraint on the other resource. In this problem, the resource selection is mutually exclusive, which means we cannot choose both resources together for an arc. We...

[1]  Zhenhong Lin,et al.  Optimizing and Diversifying Electric Vehicle Driving Range for U.S. Drivers , 2014, Transp. Sci..

[2]  Vijay V. Vazirani,et al.  Approximation Algorithms , 2001, Springer Berlin Heidelberg.

[3]  Yuval Shavitt,et al.  Optimal partition of QoS requirements with discrete cost functions , 2000, IEEE Journal on Selected Areas in Communications.

[4]  Sartaj Sahni,et al.  Algorithms for Scheduling Independent Tasks , 1976, J. ACM.

[5]  F. R. Salmasi,et al.  Control Strategies for Hybrid Electric Vehicles: Evolution, Classification, Comparison, and Future Trends , 2007, IEEE Transactions on Vehicular Technology.

[6]  Thomas Spengler,et al.  A Hybrid Simulation Approach for Estimating the Market Share Evolution of Electric Vehicles , 2014, Transp. Sci..

[7]  Dimitri P. Bertsekas,et al.  Linear network optimization - algorithms and codes , 1991 .

[8]  Hanif D. Sherali,et al.  Linear Programming and Network Flows: Bazaraa/Linear , 2009 .

[9]  Aaron Bernstein Near linear time (1 + ε)-approximation for restricted shortest paths in undirected graphs , 2012, SODA.

[10]  Cynthia A. Phillips,et al.  The network inhibition problem , 1993, STOC.

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

[12]  Tomáš Juřík Optimal Route Planning for Electric Vehicles , 2013 .

[13]  Martin Leucker,et al.  Efficient Energy-Optimal Routing for Electric Vehicles , 2011, AAAI.

[14]  Luigi Di Puglia Pugliese,et al.  A Reference Point Approach for the Resource Constrained Shortest Path Problems , 2013, Transp. Sci..

[15]  Gerhard J. Woeginger,et al.  When Does a Dynamic Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)? , 2000, INFORMS J. Comput..

[16]  Bhavya Shukla,et al.  HYBRID ELECTRIC VEHICLE , 2013 .

[17]  T. M. Sweda,et al.  Finding minimum-cost paths for electric vehicles , 2012, 2012 IEEE International Electric Vehicle Conference.

[18]  Michel Bierlaire,et al.  Forecasting the Demand for Electric Vehicles: Accounting for Attitudes and Perceptions , 2014, Transp. Sci..

[19]  Funda Ergün,et al.  An improved FPTAS for Restricted Shortest Path , 2002, Inf. Process. Lett..

[20]  Irina S. Dolinskaya,et al.  Optimal Recharging Policies for Electric Vehicles , 2017, Transp. Sci..

[21]  Ashish Goel,et al.  Efficient computation of delay-sensitive routes from one source to all destinations , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[22]  Donald B. Johnson,et al.  Efficient Algorithms for Shortest Paths in Sparse Networks , 1977, J. ACM.

[23]  L. Guzzella,et al.  Control of hybrid electric vehicles , 2007, IEEE Control Systems.

[24]  Sartaj Sahni,et al.  Two techniques for fast computation of constrained shortest paths , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[25]  Bhaskar Krishnamachari,et al.  Delay efficient sleep scheduling in wireless sensor networks , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[26]  Oscar H. Ibarra,et al.  Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems , 1975, JACM.

[27]  A. Frank,et al.  Hybrid vehicles gain traction. , 2006, Scientific American.

[28]  Ratna Babu Chinnam,et al.  Online scheduling and pricing for electric vehicle charging , 2017 .

[29]  J. Current,et al.  An Improved Solution Algorithm for the Constrained Shortest Path Problem , 2007 .

[30]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[31]  Zuo-Jun Max Shen,et al.  Infrastructure Planning for Electric Vehicles with Battery Swapping , 2012, Manag. Sci..

[32]  Mihalis Yannakakis,et al.  Small Approximate Pareto Sets for Biobjective Shortest Paths and Other Problems , 2009, SIAM J. Comput..

[33]  Li Yang,et al.  The electric vehicle routing problem with time windows using genetic algorithm , 2017, 2017 IEEE 2nd Advanced Information Technology, Electronic and Automation Control Conference (IAEAC).

[34]  Ravindra K. Ahuja,et al.  Network Flows: Theory, Algorithms, and Applications , 1993 .

[35]  Hanif D. Sherali,et al.  Linear Programming and Network Flows , 1977 .

[36]  Michael Wang,et al.  Hybrid electric vehicle technology assessment : methodology, analytical issues, and interim results. , 2002 .

[37]  Stacy Cagle Davis,et al.  Transportation Energy Data Book: Edition 31 , 2012 .

[38]  Natashia Boland,et al.  Improved preprocessing, labeling and scaling algorithms for the Weight‐Constrained Shortest Path Problem , 2003, Networks.

[39]  Kurt Mehlhorn,et al.  Resource Constrained Shortest Paths , 2000, ESA.

[40]  Stefano Giordano,et al.  A survey on multi-constrained optimal path computation: Exact and approximate algorithms , 2010, Comput. Networks.

[41]  Jonas Sjöberg,et al.  Engine On/Off Control for Dimensioning Hybrid Electric Powertrains via Convex Optimization , 2013, IEEE Transactions on Vehicular Technology.

[42]  Sabine Limbourg,et al.  TSP model for electric vehicle deliveries, considering speed, loading and road grades , 2015 .

[43]  Daniel Grosu,et al.  A PTAS Mechanism for Provisioning and Allocation of Heterogeneous Cloud Resources , 2015, IEEE Transactions on Parallel and Distributed Systems.

[44]  Seungchul Lee,et al.  A Degradation-Informed Battery-Swapping Policy for Fleets of Electric or Hybrid-Electric Vehicles , 2014, Transp. Sci..

[45]  Vincenzo Marano,et al.  Simulation-Optimization Model for Location of a Public Electric Vehicle Charging Infrastructure , 2013 .

[46]  Danny Raz,et al.  A simple efficient approximation scheme for the restricted shortest path problem , 2001, Oper. Res. Lett..

[47]  Ariel Orda,et al.  QoS routing in networks with uncertain parameters , 1998, Proceedings. IEEE INFOCOM '98, the Conference on Computer Communications. Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies. Gateway to the 21st Century (Cat. No.98.

[48]  Arthur Warburton,et al.  Approximation of Pareto Optima in Multiple-Objective, Shortest-Path Problems , 1987, Oper. Res..

[49]  Stefan Funke,et al.  Optimal Route Planning for Electric Vehicles in Large Networks , 2011, AAAI.

[50]  Luigi Di Puglia Pugliese,et al.  A survey of resource constrained shortest path problems: Exact solution approaches , 2013, Networks.

[51]  Hanif D. Sherali,et al.  Reverse time-restricted shortest paths: Application to air traffic management , 2009 .

[52]  Deeparnab Chakrabarty,et al.  Knapsack Problems , 2008 .

[53]  Ramteen Sioshansi,et al.  OR Forum - Modeling the Impacts of Electricity Tariffs on Plug-In Hybrid Electric Vehicle Charging, Costs, and Emissions , 2012, Oper. Res..

[54]  Refael Hassin,et al.  Approximation Schemes for the Restricted Shortest Path Problem , 1992, Math. Oper. Res..

[55]  Oladele A. Ogunseitan,et al.  in Transportation Science , 2009 .