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Location of Service Facilities for the Elderly

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Abstract

Senior centers provide a variety of supportive services for independent elderly adults. In many metropolitan areas, the elderly population is growing and redistributing from central cities to suburbs, where accessibility to senior centers is limited. Policy analysts need to locate senior centers to best meet changing demands for service. We present alternative hierarchical facility location models for senior centers applied to Allegheny County, Pennsylvania. We find that a model that minimizes consumer disutility and unserved demands is preferred to one that maximizes utility alone, and that the former model is well-behaved in response to changes in structural parameters.

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References

  • Brandeau, M.L. and S.S. Chiu. (1994). “Facility Location in a User-Optimizing Environment with Market Externalities: Analysis of Customer Equilibria and Optimal Public Facility Location.” Location Science 2(3), 129–147.

    Google Scholar 

  • Church, R.L. and C. ReVelle. (1974). “The Maximal Covering Location Problem.” Papers of the Regional Science Association 32, 101–118.

    Article  Google Scholar 

  • Daskin, M.S. (1995). Network and Discrete Location: Models, Algorithms, and Applications. Wiley-Interscience, New York.

    Google Scholar 

  • Environmental Sciences Research Institute. (1999). ArcView GIS Version 3.2. Redlands, CA.

  • Federal Interagency Forum on Aging Related Statistics. (2000). “Older Americans 2000: Key Indicators of Well-Being,” World Wide Web: http://www.agingstats.gov/chartbook2000/slides.html. (Accessed 11/17/03)

  • Fotheringham, A.S. and M.E. O'Kelly. (1989). Spatial Interaction Models: Formulations and Applications. Kluwer Academic, Amsterdam.

    Google Scholar 

  • Gorr, W., M.P. Johnson, and S. Roehrig. (2001a). “Point Demand Forecasting,” Heinz School Working Paper Series 2001–02. Pittsburgh, PA: H. John Heinz III School of Public Policy and Management, Carnegie Mellon University. World Wide Web: http://www.heinz.cmu.edu/wpapers/detail.jsp?id = 183 (Accessed 11/17/03).

  • Gorr, W., M.P. Johnson, and S. Roehrig. (2001b). “Facility Location Model for Home-Delivered Services: Application to the Meals on Wheels Program,” Journal of Geographic Systems 3(2), 181–197.

    Article  Google Scholar 

  • Hakimi, S.L. (1964). “Optimum Location of Switching Centers and the Absolute Centers and Medians of a Graph,” Operations Research 12, 450–459.

    Article  Google Scholar 

  • Hakimi, S.L. (1965). “Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems,” Operations Research 13, 462–475.

    Google Scholar 

  • ILOG-CPLEX Division. (2003). AMPL Version 8.0. Incline Village, NV.

  • ILOG-CPLEX Division. (2003). CPLEX 8.0 for AMPL. Incline Village, NV.

  • Johnson, M.P., G. Wilpen, and S. Roehrig. (2002). “Location/Allocation/Routing for Home-Delivered Meals Provision: Models & Solution Approaches.” International Journal of Industrial Engineering 9(1), 45–56.

    Google Scholar 

  • Narula, S.C. (1986). “Minisum Hierarchical Location-Allocation Problems on a Network: A Survey,” Location Decisions: Methodology and Applications, Annals of Operations Research 6, 257–272.

    Google Scholar 

  • ReVelle, C. (1987). “Urban Public Facility Location.” In E.S. Mills (ed.), Handbook of Regional and Urban Economics, Volume II: Urban Economics. Amsterdam: North-Holland.

  • ReVelle, C., Richard C., and D. Schilling. (1975). “A Note on the Location Model of Holmes, Williams and Brown.” Geographical Analysis 7, 457.

    Article  Google Scholar 

  • Tien, J.M., K. El-Tell, and G.R. Simons. (1983). “Improved Formulations to the Hierarchical Health Facility Location-Allocation Problem.” IEEE Transactions on Systems, Man, and Cybernetics SMC-13, 1128–1132.

    Google Scholar 

  • Toregas, C., R. Swain, C. ReVelle, and L. Bergman. (1971). “The Location of Emergency Service Facilities.” Operations Research 19, 1363–1373.

    Google Scholar 

Download references

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Authors and Affiliations

  1. H. John Heinz III School of Public Policy and Management, Carnegie Mellon University, Pittsburgh, PA, 15213-3890, USA

    Michael P. Johnson, Wilpen L. Gorr & Stephen Roehrig

Authors
  1. Michael P. Johnson
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  2. Wilpen L. Gorr
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  3. Stephen Roehrig
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Correspondence to Michael P. Johnson.

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Johnson, M.P., Gorr, W.L. & Roehrig, S. Location of Service Facilities for the Elderly. Ann Oper Res 136, 329–349 (2005). https://doi.org/10.1007/s10479-005-2062-0

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  • DOI: https://doi.org/10.1007/s10479-005-2062-0

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