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A bi-objective modeling approach applied to an urban semi-desirable facility location problem

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  • Coutinho-Rodrigues, João
  • Tralhão, Lino
  • Alçada-Almeida, Luís
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    Abstract

    This paper introduces a mixed-integer, bi-objective programming approach to identify the locations and capacities of semi-desirable (or semi-obnoxious) facilities. The first objective minimizes the total investment cost; the second one minimizes the dissatisfaction by incorporating together in the same function “pull” and “push” characteristics of the decision problem (individuals do not want to live too close, but they do not want to be too far, from facilities). The model determines the number of facilities to be opened, the respective capacities, their locations, their respective shares of the total demand, and the population that is assigned to each candidate site opened. The proposed approach was tested with a case study for a particular urban planning problem: the location of sorted waste containers. The complete set of (supported or unsupported) non-inferior solutions, consisting of combinations of multi-compartment containers for the disposal of four types of sorted waste in nineteen candidate sites, and population assignments, was generated. The results obtained for part of the historical center of an old European city (Coimbra, Portugal) show that this approach can be applied to a real-world planning scenario.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712004067
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 223 (2012)
    Issue (Month): 1 ()
    Pages: 203-213

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    Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:203-213

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Combinatorial optimization; Multiple objective modeling; Facility location; Semi-obnoxious facility; Urban facilities planning; Waste management;

    References

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    1. Romero-Morales, Dolores & Carrizosa, Emilio & Conde, Eduardo, 1997. "Semi-obnoxious location models: A global optimization approach," European Journal of Operational Research, Elsevier, vol. 102(2), pages 295-301, October.
    2. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    3. Brimberg, Jack & Juel, Henrik, 1998. "A bicriteria model for locating a semi-desirable facility in the plane," European Journal of Operational Research, Elsevier, vol. 106(1), pages 144-151, April.
    4. Terry Ross, G. & Soland, Richard M., 1980. "A multicriteria approach to the location of public facilities," European Journal of Operational Research, Elsevier, vol. 4(5), pages 307-321, May.
    5. Alçada-Almeida, Luís & Coutinho-Rodrigues, João & Current, John, 2009. "A multiobjective modeling approach to locating incinerators," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 111-120, June.
    6. Carrizosa, Emilio & Conde, Eduardo, 2002. "A fractional model for locating semi-desirable facilities on networks," European Journal of Operational Research, Elsevier, vol. 136(1), pages 67-80, January.
    7. Yapicioglu, Haluk & Smith, Alice E. & Dozier, Gerry, 2007. "Solving the semi-desirable facility location problem using bi-objective particle swarm," European Journal of Operational Research, Elsevier, vol. 177(2), pages 733-749, March.
    8. Francis, R. L. & Lowe, T. J. & Tamir, A. & Emir-Farinas, H., 2004. "A framework for demand point and solution space aggregation analysis for location models," European Journal of Operational Research, Elsevier, vol. 159(3), pages 574-585, December.
    9. Current, John & Min, Hokey & Schilling, David, 1990. "Multiobjective analysis of facility location decisions," European Journal of Operational Research, Elsevier, vol. 49(3), pages 295-307, December.
    10. Santos, Luís & Coutinho-Rodrigues, João & Current, John R., 2010. "An improved ant colony optimization based algorithm for the capacitated arc routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 246-266, February.
    11. Erkut, Erhan & Karagiannidis, Avraam & Perkoulidis, George & Tjandra, Stevanus A., 2008. "A multicriteria facility location model for municipal solid waste management in North Greece," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1402-1421, June.
    12. Alves, Maria Joao & Climaco, Joao, 2007. "A review of interactive methods for multiobjective integer and mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 99-115, July.
    13. Santos, Lui­s & Coutinho-Rodrigues, João & Current, John R., 2008. "Implementing a multi-vehicle multi-route spatial decision support system for efficient trash collection in Portugal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(6), pages 922-934, July.
    14. Erkut, Erhan & Neuman, Susan, 1989. "Analytical models for locating undesirable facilities," European Journal of Operational Research, Elsevier, vol. 40(3), pages 275-291, June.
    15. Duin, C.W. & Volgenant, A., 2012. "On weighting two criteria with a parameter in combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 1-6.
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    Cited by:
    1. Yu, Yang & Tang, Jiafu & Gong, Jun & Yin, Yong & Kaku, Ikou, 2014. "Mathematical analysis and solutions for multi-objective line-cell conversion problem," European Journal of Operational Research, Elsevier, vol. 236(2), pages 774-786.
    2. Eiselt, H.A. & Marianov, Vladimir, 2014. "A bi-objective model for the location of landfills for municipal solid waste," European Journal of Operational Research, Elsevier, vol. 235(1), pages 187-194.

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