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Distance decay and coverage in facility location planning

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Abstract

An important consideration in urban and regional planning is where to locate facilities providing services. Location models are typically used to support facility siting decisions. This paper develops general models that simultaneously addresses issues involving potential demand as a function of distance, coverage range, and partial regional service in facility siting. The developed models are general in that they can be utilized for siting both desirable and undesirable facilities. Application results are presented for a discrete linear model to locate park-and-ride facilities (desirable) and recycling facilities (undesirable) in Columbus, Ohio. The findings illustrate the flexibility and usefulness of the developed modeling approach for addressing a wide range of planning issues.

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Notes

  1. The “demand curve” reflects declining demand for a good or service as distance from the good or service increased (for a review, see Hurst 1972).

  2. The MCLP represents a special case of distance decay where service coverage to all potential demands is assumed within the coverage standard (or range), and no coverage is possible immediately thereafter (a step function).

  3. The intent here is to assess an ideal configuration for the region as population growth and change has occurred over time. This will enable planners to assess whether lease/use arrangements should be renewed and whether some current locations might prove more valuable by being sold because of low utilization.

References

  • Allen D (1979) Estimating the service area for park-and-ride operations. North Central Texas Council of Governments

  • Central Ohio Transit Authority (COTA) (1999) Vision 2020: transportation for a great community

  • Central Ohio Transit Authority (COTA) (2001) Information update by COTA staff

  • Church R, ReVelle C (1974) The maximal covering location problem. Pap Reg Sci Assoc 32:101–108

    Article  Google Scholar 

  • Church R, Roberts K (1983) Generalized coverage models and public facility location. Pap Reg Sci Assoc 53:117–135

    Article  Google Scholar 

  • Christaller W (1966) Central places in southern Germany (translated by C.W. Baskin). Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  • Columbus Dispatch (2002) “State files suit to close drum recycler”, Nov 9 issue

  • EPA (2003) http://www.epa.gov/epaoswer/non-hw/muncpl/faq.htm#2 Accessed on 8/12/03 at 3:21 pm

  • Erkut E, Neuman S (1989) Analytical models for locating undesirable facilities. Eur J Oper Res 40:275–291

    Article  Google Scholar 

  • Erkut E, Neuman S (1992) A multiobjective model for locating undesirable facilities. Ann Oper Res 40:209–227

    Article  Google Scholar 

  • Farhan B (2003) Evaluation, modeling and policy assessment for park and ride services as a component of public transportation. Ph.D. dissertation, The Ohio State University, Columbus, OH

  • Farhan B, Murray AT (2005) A GIS-Based approach for delineating market areas for park and ride facilities. Trans GIS 9:91–108

    Article  Google Scholar 

  • Flahaut B, Laurent M, Thomas I (2002) Locating a community recycling center within a residential area: a Belgium case study. Prof Geogr 54:67–82

    Article  Google Scholar 

  • Fotheringham S, O’Kelly M (1989) Spatial interaction models: formulations and applications. Kluwer, Amsterdam

    Google Scholar 

  • Hakimi SL (1964) Optimum locations of switching centers and absolute centers and medians of a graph. Oper Res 12:450–459

    Google Scholar 

  • Hanson S, Giuliano G (eds) (2004) The geography of urban transportation, 3rd edn. Guilford, New York

    Google Scholar 

  • Hurst MEE (1972) A geography of economic behavior: an introduction. Duxbury, North Scituate, MA

    Google Scholar 

  • Johnston RJ, Gregory D, Pratt G, Watts M (2000) The dictionary of human geography, 4th edn. Blackwell, Oxford, UK

    Google Scholar 

  • Kohlhase J (1991) The impact of toxic waste sites on housing values. J Urban Econ 30:1–26

    Article  Google Scholar 

  • Kuby M (1987) Programming models for facility dispersion: the p-dispersion and maxisum dispersion problems. Geogr Anal 19:315–329

    Article  Google Scholar 

  • Losch A (1954) Economics of location. Yale Univ. Press

  • Maricopa Association of Governments (2001) MAG park-and-ride site selection study. Phoenix, AZ

    Google Scholar 

  • Mather J (1983) Guidelines and standards for the planning, design, and operation of bus park-and-ride facilities. Transp Res Rec 908:1–6

    Google Scholar 

  • Mid Ohio Regional Planning Commission (MORPC) (2001) 2025 transportation plan

  • Moon H (1994) Solid waste management in Ohio. Prof Geogr 46:191–198

    Article  Google Scholar 

  • Moon ID, Chaudhry S (1984) An analysis of network location problems with distance constraints. Manage Sci 30:290–307

    Google Scholar 

  • Murray AT (2001) Strategic analysis of public transport coverage. Socio-Econ Plann Sci 35:175–188

    Article  Google Scholar 

  • Murray AT, Church RL (1997) Solving the anti-covering location problem using Lagrangian relaxation. Comput Oper Res 24:127–140

    Article  Google Scholar 

  • Murray AT, O’Kelly ME (2002) Assessing representation error in point-based coverage modeling. J Geogr Syst 4:171–191

    Article  Google Scholar 

  • Murray AT, Church RL, Gerrard RA, Tsui W (1998) Impact models for siting undesirable facilities. Pap Reg Sci 77:19–36

    Article  Google Scholar 

  • Noel E (1988) Park-and-ride — alive, well, and expanding in the United-States. J Urban Plann Dev-ASCE 114:2–13

    Article  Google Scholar 

  • Olsson G (1970) Explanation, prediction and meaning variance: an assessment of distance interaction models. Econ Geogr 46:223–233

    Article  Google Scholar 

  • Owen S, Daskin M (1998) Strategic facility location: a review. Eur J Oper Res 111:423–447

    Article  Google Scholar 

  • ReVelle C, Swain R (1970) Central facilities location. Geogr Anal 1:30–42

    Google Scholar 

  • ReVelle C, Marks D, Liebman JC (1970) An analysis of private and public sector location models. Manage Sci 16:692–707

    Google Scholar 

  • Solid Waste Authority of Central Ohio (SWACO) (2003). http://www.swaco.org/

  • Spillar R (1997) Park-and-ride planning and design guidelines. Parsons Brinkerhoff Quade and Douglas, New York

    Google Scholar 

  • Stevens A, Homburger W (1984) The use of park-and-ride lots by bus commuters. Institute of transportation studies. University of California, Berkeley, California

    Google Scholar 

  • Tansel BC, Francis RL, Lowe TJ (1983) Location on networks: a survey. Part I: the p-center and p-median problems. Manage Sci 29:482–497

    Google Scholar 

  • Toregas C, Swain R, ReVelle C, Bergman L (1971) The location of emergency service facilities. Oper Res 19:1363–1373

    Article  Google Scholar 

  • Turnbull KF (1995) National cooperative research program synthesis 213. Effective use of park-and-ride facilities. Transportation Research Board, Washington, DC

    Google Scholar 

  • Yamashita J (1993) Effects of spatial interaction on spatial structure: a case of day center location in Malmo. Geogr Rev Jpn 66:156–172

    Google Scholar 

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Correspondence to Alan T. Murray.

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Farhan, B., Murray, A.T. Distance decay and coverage in facility location planning. Ann Reg Sci 40, 279–295 (2006). https://doi.org/10.1007/s00168-005-0041-7

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