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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

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.

Suggested Citation

  • Coutinho-Rodrigues, João & Tralhão, Lino & Alçada-Almeida, Luís, 2012. "A bi-objective modeling approach applied to an urban semi-desirable facility location problem," European Journal of Operational Research, Elsevier, vol. 223(1), pages 203-213.
    • 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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    2. Hua, Hao & Hovestadt, Ludger & Tang, Peng & Li, Biao, 2019. "Integer programming for urban design," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1125-1137.
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    4. Chun-lin Xin & Shuo Liang & Feng-wu Shen, 2022. "Reconfiguration of garbage collection system based on Voronoi graph theory: a simulation case of Beijing region," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 953-973, July.
    5. Hammad, Ahmed W A & Akbarnezhad, Ali & Rey, David, 2017. "Sustainable urban facility location: Minimising noise pollution and network congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 38-59.
    6. Chun-lin Xin & Shuo Liang & Feng-wu Shen, 0. "Reconfiguration of garbage collection system based on Voronoi graph theory: a simulation case of Beijing region," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-21.
    7. 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.
    8. Farahani, Reza Zanjirani & Fallah, Samira & Ruiz, Rubén & Hosseini, Sara & Asgari, Nasrin, 2019. "OR models in urban service facility location: A critical review of applications and future developments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 1-27.
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    10. Hamilton, Timothy L. & Eynan, Amit, 2023. "Siting noxious facilities: Efficiency and majority rule decisions," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1344-1354.

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