A Districting Model to Support the Redesign Process of Italian Provinces

  • Giuseppe Bruno
  • Antonio DiglioEmail author
  • Alessia Melisi
  • Carmela Piccolo
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 217)


In the general context of welfare reforms in western economies, many actions concerning the rationalization of local administrative structures have been undertaken. In particular, in Italy a recent debate has been addressed about the reduction of the overall number of provinces and the rearrangement of their borders. As provinces are responsible of providing some essential services to the population within their boundaries, any possible scenario should combine the need for more efficient territorial configurations with the safeguard of the services’ accessibility. From a methodological point of view, such problem involves aspects from both facility location and districting problems. In this work, we formulate a mathematical model to support the decision making process and we compare scenarios provided on four benchmark problems, built on the real data associated to the most representative Italian regions.


Districting problems Facility-location models Territorial re-organization 


  1. 1.
    EUROSTAT European Regional Statistics. Changes in the NUTS Classifications, 1981–1999. (2002)
  2. 2.
    Council of European Municipalities and Regions Local and regional government in europe. Structure and Compatences. (2016)
  3. 3.
    Gazzetta Ufficiale Determinazione dei criteri per il riordino delle province. (2012) (in Italian)
  4. 4.
    Gazzetta Ufficiale Disposizioni sulle citta’ metropolitane, sulle province, sulle unioni e fusioni di comuni. Serie Generale. (2014) (in Italian)
  5. 5.
    Drezner, Z., Hamacher, H.W. (eds.): Facility Location: Application and Theory. Springer, Berlin (2002)zbMATHGoogle Scholar
  6. 6.
    Revelle, C.S., Eiselt, H.A.: Location analysis: a synthesis and survey. Eur. J. Oper. Res. 165, 1–19 (2005)CrossRefzbMATHMathSciNetGoogle Scholar
  7. 7.
    Kalcsics, J., Nickel, S., Schröder, M.: Towards a unified territorial design approach—applications, algorithms and GIS integration. Top, 13(1), 1–56. (2005)Google Scholar
  8. 8.
    Kalcsics, J.: Districting problems. In: Laporte, G., Nickel, S., Saldanha da Gama, F. (Eds.) Location Science (pp. 595–622). Springer International Publishing (2015)Google Scholar
  9. 9.
    ReVelle, C.S., Murray, A.T., Serra, D.: Location models for ceding market share and shrinking services. Omega 35, 533–540 (2007)CrossRefGoogle Scholar
  10. 10.
    Bruno, G., Esposito, E., Genovese, A., Piccolo, C.: Institutions and facility mergers in the Italian education system: Models and case studies. Socio-Econ. Plann. Sci. 53, 23–32 (2016)CrossRefGoogle Scholar
  11. 11.
    Bruno, G., Genovese, A., Piccolo, C.: Capacity management in public service facility networks: a model, computational tests and a case study. Optim. Lett. 10(5), 975–995 (2016)CrossRefzbMATHMathSciNetGoogle Scholar
  12. 12.
    Bruno, G., Genovese, A., Piccolo, C., Sterle, C.: A location model for the reorganization of a school system: the italian case study. Procedia-Social and Behavioral Sciences 108, 96–105 (2014)CrossRefGoogle Scholar
  13. 13.
    Marsh, M.T., Schilling, D.A.: Equity measurement in facility location analysis: a review and framework. Eur. J. Oper. Res. 74(1), 1–17 (1994)CrossRefzbMATHGoogle Scholar
  14. 14.
    Barbati, M., Piccolo, C.: Equality measures properties for location problems. Optim. Lett. 10(5), 903–920 (2016)CrossRefzbMATHMathSciNetGoogle Scholar
  15. 15.
    Sterle, C., Sforza, A., Amideo, A.E.: Multi-period location of flow intercepting portable facilities of an intelligent transportation system. Socio-Econ. Plann. Sci. 53, 4–13 (2016)CrossRefGoogle Scholar
  16. 16.
    Sonmez, A.D., Lim, G.J.: A decomposition approach for facility location and relocation problem with uncertain number of future facilities. Eur. J. Oper. Res. 218(2), 327–338 (2012)CrossRefzbMATHMathSciNetGoogle Scholar
  17. 17.
    Silva de Assis, L., Morelato Franca, P., Luiz Usberti, F.: A redistricting problem applied to meter reading in power distribution networks. Comput. Oper. Res. 41(1), 65–75 (2013)zbMATHMathSciNetGoogle Scholar
  18. 18.
    Bruno, G., Genovese, A., Piccolo, C.: Territorial amalgamation decisions in local government: models and a case study from Italy. Socio-Econ. Plann. Sci. 57, 61–72 (2017)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Giuseppe Bruno
    • 1
  • Antonio Diglio
    • 1
    Email author
  • Alessia Melisi
    • 1
  • Carmela Piccolo
    • 1
  1. 1.Department of Industrial EngineeringUniversity of Naples Federico IINaplesItaly

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