Volume List  / Volume 3 (2)



DOI: 10.7708/ijtte.2013.3(2).01

3 / 2 / 103-111 Pages


Dušan Teodorović - University of Belgrade, Faculty of Transport and Traffic Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia -

Milica Šelmić - University of Belgrade, Faculty of Transport and Traffic Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia -


Flow-capturing facilities make available service to passing-by client flows. The paper develops a model to determine the locations of the flow-capturing facilities in the transportation network. The objective function to be maximized represents the total client flow intercepted. The basic input data are the estimated numbers of trips between pairs of nodes. It is often impossible to estimate these numbers with enough precision. The estimated numbers of trips are treated in this paper as an uncertain or fuzzy numbers. The concept proposed in the paper is based on fuzzy mathematical programming. The model developed is supported by numerical example.

Download Article

Number of downloads: 1212


This research was supported by the Ministry of Science of Serbia, Grant Number 36002.


Bellman, B.; Zadeh, L. 1970. Decision making in a fuzzy environment, Management Science. DOI: http://dx.doi.org/10.1287/mnsc.17.4.B141, 17(4): 144-164.


Berman, O.; Krass, D. 1998. Flow intercepting spatial interaction model: a new approach to optimal location of competitive facilities, Location Science. DOI: http://dx.doi.org/10.1016/S0966-8349(98)00047-3, 6(1-4): 41-65.


Berman, O.; Krass, D.; Xu, C.W. 1995. Locating discretionary service facilities based on probabilistic customer flows, Transportation Science. DOI: http://dx.doi.org/10.1287/trsc.29.3.276, 29(3): 276-290.


Berman, O.; Larson, R.C.; Fouska, N. 1992. Optimal location of discretionary service facilities, Transportation Science. DOI: http://dx.doi.org/10.1287/trsc.26.3.201, 26(3): 201-211.


Church, R.L.; ReVelle, C.S. 1974. The maximum covering location problem, Papers of Regional Science. DOI: http://dx.doi.org/10.1111/j.1435-5597.1974.tb00902.x, 32(1): 101-118.


Gendreau, M.; Laporte, G.; Parent, I. 2000. Heuristics for the Location of Inspection Stations on a Network, Naval Research Logistics. DOI: http://dx.doi.org/10.1002/(SICI)1520-6750(200006)47:4<287::AIDNAV2>3.0.CO;2-R, 47(4): 287-303.


Goodchild, M.F.; Noronha, V.T. 1987. Location-allocation and impulsive shopping: The case of gasoline retailing. In: Ghosh, A., Rushton, G. (Eds.), Spatial Analysisand Location-Allocation Models, Van Nostrand Reinhold, New York. 121-136.


Hodgson, M.J. 1990. A flow-capturing location-allocation model, Geographical Analysis. DOI: http://dx.doi.org/10.1111/j.1538-4632.1990.tb00210.x, 22(3): 270-279.


Hodgson, M.J. 1981. The location of public facilities intermediate to the journey to work, European Journal of Operational Research. DOI: http://dx.doi.org/10.1016/0377-2217(81)90208-3, 6(2): 199-204.


Hodgson, M.J.; Rosing, K.E. 1992. A network location-allocation model trading off flow capturing and p-median objectives, Annals of Operations Research. DOI: http://dx.doi.org/10.1007/BF02060480, 40(1): 247-260.


Jun, Y.; Min, Z. 2006. Flow Capturing Location-allocation Problem with Piecewise Linear Value-Time Function Based on Max-min Ant Colony Optimization. In Proceedings of the IEEE International Conference on Computational Intelligence and Security, Guangzhou, China. 1172-1175.


Kuby, M.; Lim, S. 2005. The flow-refueling location problem for alternative-fuel vehicles, Socio-Economic Planning Sciences. DOI: http://dx.doi.org/10.1016/j.seps.2004.03.001, 39(2): 125-145.


Tanaka, H.; Asai, K. 1984. Fuzzy linear programming problems with fuzzy numbers, Fuzzy Sets and Systems. DOI: http://dx.doi.org/10.1016/0165-0114(84)90022-8, 13(1): 1-10.


Wu, T.H.; Lin, J.N. 2003. Solving the competitive discretionary service facility location problem, European Journal of Operational Research. DOI: http://dx.doi.org/10.1016/S0377-2217(01)00391-5, 144(2): 366-378.

Quoted IJTTE Works

Related Keywords