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

Listed author(s):
  • Coutinho-Rodrigues, João
  • Tralhão, Lino
  • Alçada-Almeida, Luís

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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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
DOI: 10.1016/j.ejor.2012.05.037
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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Erkut, Erhan & Neuman, Susan, 1989. "Analytical models for locating undesirable facilities," European Journal of Operational Research, Elsevier, vol. 40(3), pages 275-291, June.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
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