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Heuristic approaches for the flow-based set covering problem with deviation paths

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  • Li, Shengyin
  • Huang, Yongxi

Abstract

A multipath refueling location model is developed to take into account the effects of vehicle range and multiple deviation paths. It is formulated as a mixed integer linear program, which is intrinsically difficult to solve with increase in the number of deviation paths and network size. This study is focused on developing heuristic approximation solutions, specifically the greedy-adding and greedy-adding with extension algorithms. These algorithms are shown to be efficient and effective to solve the model for the Sioux Falls network. The heuristics are also applied to locate electric vehicle charging stations in the state of South Carolina.

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  • Li, Shengyin & Huang, Yongxi, 2014. "Heuristic approaches for the flow-based set covering problem with deviation paths," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 144-158.
    • Handle: RePEc:eee:transe:v:72:y:2014:i:c:p:144-158
    DOI: 10.1016/j.tre.2014.10.013
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    1. Lim, Seow & Kuby, Michael, 2010. "Heuristic algorithms for siting alternative-fuel stations using the Flow-Refueling Location Model," European Journal of Operational Research, Elsevier, vol. 204(1), pages 51-61, July.
    2. V. Chvatal, 1979. "A Greedy Heuristic for the Set-Covering Problem," Mathematics of Operations Research, INFORMS, vol. 4(3), pages 233-235, August.
    3. John Hodgson, M. & Rosing, K. E. & Leontien, A. & Storrier, G., 1996. "Applying the flow-capturing location-allocation model to an authentic network: Edmonton, Canada," European Journal of Operational Research, Elsevier, vol. 90(3), pages 427-443, May.
    4. Wang, Ying-Wei & Wang, Chuan-Ren, 2010. "Locating passenger vehicle refueling stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 791-801, September.
    5. S. A. MirHassani & R. Ebrazi, 2013. "A Flexible Reformulation of the Refueling Station Location Problem," Transportation Science, INFORMS, vol. 47(4), pages 617-628, November.
    6. Wang, Ying-Wei & Lin, Chuah-Chih, 2009. "Locating road-vehicle refueling stations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(5), pages 821-829, September.
    7. Lan, Guanghui & DePuy, Gail W. & Whitehouse, Gary E., 2007. "An effective and simple heuristic for the set covering problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1387-1403, February.
    8. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    9. M Haouari & J S Chaouachi, 2002. "A probabilistic greedy search algorithm for combinatorial optimisation with application to the set covering problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 792-799, July.
    10. Haddadi, Salim, 1997. "Simple Lagrangian heuristic for the set covering problem," European Journal of Operational Research, Elsevier, vol. 97(1), pages 200-204, February.
    11. Oded Berman & Dimitris Bertsimas & Richard C. Larson, 1995. "Locating Discretionary Service Facilities, II: Maximizing Market Size, Minimizing Inconvenience," Operations Research, INFORMS, vol. 43(4), pages 623-632, August.
    12. Wang, Ying-Wei & Lin, Chuah-Chih, 2013. "Locating multiple types of recharging stations for battery-powered electric vehicle transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 58(C), pages 76-87.
    13. Alberto Caprara & Matteo Fischetti & Paolo Toth, 1999. "A Heuristic Method for the Set Covering Problem," Operations Research, INFORMS, vol. 47(5), pages 730-743, October.
    14. Weiping Zeng & Ignacio Castillo & M. Hodgson, 2010. "A Generalized Model for Locating Facilities on a Network with Flow-Based Demand," Networks and Spatial Economics, Springer, vol. 10(4), pages 579-611, December.
    15. Oded Berman & Richard C. Larson & Nikoletta Fouska, 1992. "Optimal Location of Discretionary Service Facilities," Transportation Science, INFORMS, vol. 26(3), pages 201-211, August.
    16. Kuby, Michael & Lim, Seow, 2005. "The flow-refueling location problem for alternative-fuel vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 39(2), pages 125-145, June.
    17. Alberto Caprara & Paolo Toth & Matteo Fischetti, 2000. "Algorithms for the Set Covering Problem," Annals of Operations Research, Springer, vol. 98(1), pages 353-371, December.
    18. Marshall L. Fisher & Pradeep Kedia, 1990. "Optimal Solution of Set Covering/Partitioning Problems Using Dual Heuristics," Management Science, INFORMS, vol. 36(6), pages 674-688, June.
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    Cited by:

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    3. Arslan, Okan & Yıldız, Barış & Karaşan, Oya Ekin, 2015. "Minimum cost path problem for Plug-in Hybrid Electric Vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 123-141.
    4. Arslan, Okan & Karaşan, Oya Ekin, 2016. "A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 670-695.
    5. Hosseini, Meysam & MirHassani, S.A., 2015. "Refueling-station location problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 101-116.
    6. Wang, Yusheng & Huang, Yongxi & Xu, Jiuping & Barclay, Nicole, 2017. "Optimal recharging scheduling for urban electric buses: A case study in Davis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 115-132.
    7. Guo, Fang & Yang, Jun & Lu, Jianyi, 2018. "The battery charging station location problem: Impact of users’ range anxiety and distance convenience," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 1-18.
    8. Pichamon Keawthong & Veera Muangsin & Chupun Gowanit, 2022. "Location Selection of Charging Stations for Electric Taxis: A Bangkok Case," Sustainability, MDPI, vol. 14(17), pages 1-23, September.
    9. Göpfert, Paul & Bock, Stefan, 2019. "A Branch&Cut approach to recharging and refueling infrastructure planning," European Journal of Operational Research, Elsevier, vol. 279(3), pages 808-823.
    10. Scheiper, Barbara & Schiffer, Maximilian & Walther, Grit, 2019. "The flow refueling location problem with load flow control," Omega, Elsevier, vol. 83(C), pages 50-69.
    11. Anjos, Miguel F. & Gendron, Bernard & Joyce-Moniz, Martim, 2020. "Increasing electric vehicle adoption through the optimal deployment of fast-charging stations for local and long-distance travel," European Journal of Operational Research, Elsevier, vol. 285(1), pages 263-278.
    12. Xie, Fei & Liu, Changzheng & Li, Shengyin & Lin, Zhenhong & Huang, Yongxi, 2018. "Long-term strategic planning of inter-city fast charging infrastructure for battery electric vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 261-276.
    13. Kuby, Michael & Capar, Ismail & Kim, Jong-Geun, 2017. "Efficient and equitable transnational infrastructure planning for natural gas trucking in the European Union," European Journal of Operational Research, Elsevier, vol. 257(3), pages 979-991.
    14. Tran, Cong Quoc & Keyvan-Ekbatani, Mehdi & Ngoduy, Dong & Watling, David, 2021. "Stochasticity and environmental cost inclusion for electric vehicles fast-charging facility deployment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    15. Kınay, Ömer Burak & Gzara, Fatma & Alumur, Sibel A., 2021. "Full cover charging station location problem with routing," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 1-22.

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