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Hybrid heuristics for the probabilistic maximal covering location-allocation problem

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Abstract

The Maximal Covering Location Problem (MCLP) maximizes the population that has a facility within a maximum travel distance or time. Numerous extensions have been proposed to enhance its applicability, like the probabilistic model for the maximum covering location-allocation with constraint in waiting time or queue length for congested systems, with one or more servers per service center. This paper presents one solution procedure for that probabilistic model, considering one server per center, using a Hybrid Heuristic known as Clustering Search (CS), that consists of detecting promising search areas based on clustering. The computational tests provide results for network instances with up to 818 vertices.

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References

  • Brotcorne L., Laporte G. and Semet F. (2003). Ambulance Location and relocation models. European Journal of Operational Research, 147, pp. 451–463.

    Article  Google Scholar 

  • Chaves A. A. and Lorena L. A. N. (2005). Hybrid algorithms with detection of promising areas for the prize collecting traveling salesman problem. Fifth international conference on hybrid intelligent systems (HIS’05), pp. 49–54.

  • Chung C.H. (1986). Recent applications of the Maximal Covering Location Problem (MCLP) model. Journal of the Operational Research Society. 37, pp. 735–746.

    Article  Google Scholar 

  • Church R.L. and ReVelle C. (1974). Maximal covering location problem. Papers of the Regional Science Association, 32, pp. 101–118.

    Article  Google Scholar 

  • Corrêa F.A. and Lorena L.A.N. (2006). Using the Constructive Genetic Algorithm for Solving the Probabilistic Maximal Covering Location-Allocation Problem. I Workshop on Computational Intelligence/SBRN. Available at http://www.lac.inpe.br/~lorena/correa/Correa_Lorena_Wci_2006.pdf.

  • Current J. R. and O’Kelly M. (1981). Locating emergency warning sirens. Decision Sciences, 23, pp. 221–234.

    Article  Google Scholar 

  • Daskin M. S. (1995). Network and discrete location: models, algorithms and applications. John Wiley & Sons, New York.

    Google Scholar 

  • Eaton D., Hector M., Sanchez V., Latingua R. and Morgan J. (1986). Determining ambulance deployment in Santo Domingo, Dominican Republic. Journal of the Operational Research Society, 37, pp. 113–126.

    Article  Google Scholar 

  • Feo T. and Resende M. (1995). Greedy randomized adaptive search procedures. Journal of Global Optimization, 6, pp. 109–133.

    Article  Google Scholar 

  • Galvão R.D. (2004). Uncapacitated facility location problems: contributions. Pesquisa Operacional, 24: 7–38.

    Article  Google Scholar 

  • Galvão R. D. and ReVelle C. S. (1996). A Lagrangean heuristic for the maximal covering location problem. European Journal of Operational Research, 88, pp. 114–123.

    Article  Google Scholar 

  • Glover F. (1996). Tabu search and adaptive memory programming: Advances, applications and challenges. Interfaces in Computer Science and Operations Research, pp. 1–75.

  • Hale T. S. and Moberg C. R. (2003). Location science review. Annals of Operations Research, 123, pp. 21–35.

    Article  Google Scholar 

  • Hougland E. S. and Stephens N. T. (1976). Air pollulant monitor sitting by analytical techniques. Journal of the Air Pollution Control Association, 26, pp. 52–53.

    Google Scholar 

  • ILOG CPLEX 10.0: User’s Manual, France, 2006.

  • Larson R. C. and Odoni A. R. (1981). Urban operations research, Prentice Hall, Englewood Cliffs, N.J.

    Google Scholar 

  • Lorena L. A. N. and Furtado J. C. (2001). Constructive genetic algorithm for clustering problems. 〈http://www.lac.inpe.br/%7Elorena/cga/cga_clus.PDF〉 Evolutionary Computation 〈http://mitpress.mit.edu/journal-home.tcl?issn=10636560〉, 9(3), pp. 309–327.

  • Lorena L. A. N. and Pereira M. A. (2002). A lagrangean/surrogate heuristic for the maximal covering location problem using Hillsman’s edition, International Journal of Industrial Engineering, 9, pp. 57–67.

    Google Scholar 

  • Marianov V. and Serra D. (1998). Probabilistic maximal covering location-allocation models for congested systems. Journal of Regional Science, 38(3): 401–424.

    Article  Google Scholar 

  • Marianov V. and Serra D. (2001). Hierarchical location-allocation models for congested systems. European Journal of Operational Research, 135: 195–208.

    Article  Google Scholar 

  • Moore G. C. and ReVelle C.S. (1982). The Hierarchical Service Location Problem, Management Science, 28 (7), pp. 775–780.

    Article  Google Scholar 

  • Oliveira A. C. M. and Lorena L. A. N. (2004). Detecting-promising areas by evolutionary clustering search. Bazzan, A. L. C. and Labidi, S. (Eds.) Springer Lecture Notes in Artificial Intelligence Series vol. 3171, pp. 385–394.

    Google Scholar 

  • Oliveira A. C. M. and Lorena L. A. N. (2005). Population training heuristics 〈http://www.lac.inpe.br/%7Elorena/alexandre/Evo2005tph.pdf〉. Gottlieb, J. and Raidl, G. (Eds.) Springer Lecture Notes in Computer Science Series Vol. 3448, pp. 166–176.

    Google Scholar 

  • Oliveira A. C. M. and Lorena L. A. N. (2007). Hybrid Evolutionary Algorithms and Clustering Search. Crina Grosan, Ajith Abraham and Hisao Ishibuchi (Eds.) Springer SCI Series, vol. 75, pp. 81–102.

    Google Scholar 

  • Pereira M. A., Lorena L. A. N. and Senne E. L. F. (2007). A column generation approach for the maximal covering location problem. International Transactions in Operations Research, v. 14, p. 349–364.

    Article  Google Scholar 

  • Pirkul H. and Schilling D. A. (1991). The maximal covering location problem with capacities on total workload. Management Science, 37(2), pp. 233–248.

    Article  Google Scholar 

  • Serra D. and Marianov V. (2004). New trends in public facility location modeling. Universitat Pompeu Fabra Economics and Business Working Paper 755. Available at 〈http://www.econ.upf.edu/docs/papers/downloads/755.pdf〉.

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de Assis Corrêa, F., Chaves, A.A. & Lorena, L.A.N. Hybrid heuristics for the probabilistic maximal covering location-allocation problem. Oper Res Int J 7, 323–343 (2007). https://doi.org/10.1007/BF03024852

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