Abstract
The Flow Refueling Location Model (FRLM) is a flow-intercepting model that locates p stations on a network to maximize the refueling of origin–destination flows. Because of the limited driving range of vehicles, network vertices do not constitute a finite dominating set. This paper extends the FRLM by adding candidate sites along arcs using three methods. The first identifies arc segments where a single facility could refuel a path that would otherwise require two facilities at vertices to refuel it. The other methods use the Added-Node Dispersion Problem (ANDP) to disperse candidate sites along arcs by minimax and maximin methods. While none of the methods generate a finite dominating set, results show that adding ANDP sites produces better solutions than mid-path segments or vertices only.
Similar content being viewed by others
References
Bapna R, Thakur LS, Nair SK (2002) Infrastructure development for conversion to environmentally friendly fuel. Eur J Oper Res 142:480–496
Berman O, Simchi-Levi D (1988) A heuristic algorithm for the traveling salesman location problem on networks. Oper Res 36:478–484
Berman O, Larson RC, Fouska N (1992) Optimal location of discretionary service facilities. Transp Sci 26:201–211
California Environmental Protection Agency (2005) California hydrogen blueprint plan, vol 1. May 2005
Church RL, Meadows ME (1979) Location modeling using maximum service distance criteria. Geogr Anal 11:358–373
Church RL, ReVelle CS (1974) The maximal covering location problem. Pap Reg Sci Assoc 32:101–118
Daskin M, (1995) Network and discrete location: models, algorithms, and applications. John Wiley & Sons, New York
Erkut E (1990) The discrete p-dispersion problem. Eur J Oper Res 46:48–60
Goodchild MF, Noronha VT (1987) Location–allocation and impulsive shopping: the case of gasoline retailing. In: Ghosh A, Rushton G (eds) Spatial analysis and location–allocation models. Van Nostrand Reinhold, New York
Hodgson MJ (1990) A flow capturing location–allocation model. Geogr Anal 22:270–279
Hooker JN, Garfinkel RS, Chen CK (1991) Finite dominating sets for network location problems. Oper Res 39:100–118
Kim J-G, Kuby M (2006) Locating refueling stations for alternative fuel vehicles on detouring paths. Paper presented at the Association of American Geographers Annual Meeting, Chicago, Illinois, 8 March 2006
Kuby M (1987) Programming models for facility dispersion: the p-dispersion and maxisum dispersion problems. Geogr Anal 19:315–329
Kuby M, Lim S (2005) The flow-refueling location problem for alternative-fuel vehicles. Socio-Econ Plann Sci 39:125–145
Kuby M, Lim S, Wang K (2004) A model for optimal location of hydrogen refueling stations: an Arizona case study. Hydrogen: a clean energy choice (Proceedings of the National Hydrogen Association’s 15th annual U.S. hydrogen conference and hydrogen expo USA)
Kuby MJ, Lim S, Upchurch CJ (2005) Dispersion of nodes added to a network. Geogr Anal 37:384–409
Melaina MW (2003) Initiating hydrogen infrastructures: preliminary analysis of sufficient number of initial hydrogen stations in the US. Int J Hydrogen Energy 28:743–755
Melendez M, Milbrandt A (2005) Analysis of the hydrogen infrastructure needed to enable commercial introduction of hydrogen-fueled vehicles. The Proceedings of the National Hydrogen Association, 29 March 2005
Nicholas M, Handy S, Sperling D (2004) Using geographic information systems to evaluate siting and networks of hydrogen stations. Transp Res Rec 1880:126–134
Toregas C, ReVelle CS (1973) Binary logic solutions to a class of location problems. Geogr Anal 5:145–155
Upchurch C, Kuby M, Lim S (2007) A capacitated model for location of alternative-fuel stations. Geogr Anal (in press)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kuby, M., Lim, S. Location of Alternative-Fuel Stations Using the Flow-Refueling Location Model and Dispersion of Candidate Sites on Arcs. Netw Spat Econ 7, 129–152 (2007). https://doi.org/10.1007/s11067-006-9003-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11067-006-9003-6