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X - International Journal of Information Science and Computer Mathematics (Closed Ed TRF)

X - International Journal of Information Science and Computer Mathematics (Closed Ed TRF)
Volume 1, Issue 1, Pages 9 - 29 (February 2010)

A LOCATION-ALLOCATION MODEL FOR SITING HIGH EDUCATIONAL FACILITIES M. F. Seddik, S. A. Mazen and M. Nour El Deen Received March 16, 2009 References:
[1] Jack Brimberg and N. Mladenovic, Solving the continuous location-allocation problem with tabu search, Studies in Location Analysis 8 (1996), 23-32. [2] Salem Chakhar and Jean-Marc Martel, Enhancing geographical information systems capabilities with multi-criteria evaluation functions, J. Geographic Information and Decision Analysis 7(2) (2003), 47-71. [3] Kang-Tsung Chang, Introduction to Geographic Information Systems, 3rd ed., McGraw Hill Companies, 2006. [4] L. Cooper, Heuristic methods for location-allocation problems, SIAM Rev. 6 (1964), 37-53. [5] L. Cooper, Solutions of generalized locational equilibrium models, J. Regional Sci. 7 (1967), 1-18. [6] Andries P. Engelbrecht, Computational Intelligence: An Introduction, John Wiley & Sons Publications, 2002. [7] Laurene Fausett, Fundamentals of Neural Networks, Prentice Hall, 2002. [8] Kuang-Han Hsieh and Fang-Chih Tien, Self-organizing feature maps for solving location-allocation problems with rectilinear distances, Computers and Operations Research, 2003. [9] A. Laaribi, J. J. Chevallier and J. M. Martel, A spatial decision aid: a multicriterion evaluation approach, Computers, Environment and Urban Systems 20(6) (1996), 351 366. [10] Espen Loken, Use of multi-criteria decision analysis methods for energy planning problems, Renewable and Sustainable Energy Reviews 11 (2007), 1584-1595. [11] S. Lozano, F. Guerrero, L. Onieva and J. Larraneta, Kohonen maps for solving a class of location-allocation problems, European J. Oper. Res. 108 (1998), 106-117. [12] P. Mangiameli, S. K. Chen and D. West, A comparison of SOM neural network and hierarchical clustering methods, European J. Oper. Res. 93 (1996), 402-417. [13] J. Moreno, C. Rodriguez and N. Jimenez, Heuristic cluster algorithm for multiple facility location-allocation problem, Rechereche Operationelle 25 (1991), 97-107. [14] J. M. Mulvey and H. Crowder, Cluster analysis: an application of Lagrangian relaxation, Management Science 25 (1979), 329-340. [15] C. S. Revelle and H. A. Eiselt, Location analysis: a synthesis and survey, European J. Oper. Res. 165 (2005), 1-19. [16] K. E. Rosing, A Background Paper on Aspects of the Multi-Weber Problem, University of Rotterdam, 1988, 88/3. [17] M. P. Scaparra and M. G. Scutellà, Facilities, locations, customers: building blocks of location models, a survey, Technical Report TR-01-18, Dipartimento di Informatica, Università di Pisa, 2001. [18] Emilia Suomalainen, Multi-criteria analysis and visualization of location-allocation problems, Master Thesis, Helsinki, 2006. [19] Shivakumar Vaithyanathan, Laura I. Burke and Michael A. Magent, Massively parallel analog tabu search using neural networks applied to simple plant location problems, European J. Oper. Res. 93 (1996), 317-330. [20] R. E. Wendell and A. P. Hurter, Location theory, dominance and convexity, Oper. Res. 21 (1973), 314-320.

Keywords and phrases: location-allocation, GIS, self organizing feature maps, multi-criteria decision making.

Communicated by Kewen Zhao

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