Skip to main content
Log in

Applications of location models

  • Section I Tutorials
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

The degree to which locational complexity and geographical complexity is represented in a location model is a critical decision that influences the quality of the application. Criteria which can be used to guide these decisions are presented and research that would better inform these decisions is described.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Angel and G.M. Hyman,Urban Fields, (Pion, London, 1976).

    Google Scholar 

  2. B. Ayeni, G. Rushton and M.L. McNulty, Improving the geographical accessibility of health care in rural areas: A Nigerian case study, Soc. Sci. Med. 10 (1987) 1083.

    Article  Google Scholar 

  3. J. Beaumont, Location-Allocation problems in a plane: A review of some models, Soc. Econ. Pl. Sci. 15 (1981) 217.

    Google Scholar 

  4. M.L. Brandeau and R.C. Larson, Extending and applying the hypercube queueing model to deploy ambulances in Boston, TIMS Stud. Man. Sci. 22 (1986) 121.

    Google Scholar 

  5. P. Casillas, Data aggregation and thep-median problem in continuous space, in:Spatial Analysis and Location-Allocation Models, eds. A. Ghosh and G. Rushton (Van Nostrand Reinhold, New York, 1987) pp. 327–344.

    Google Scholar 

  6. A. Charnes, W.W. Cooper and E. Rhodes, Measuring the efficiency of decision making units, Eur. J. Oper. Res. 2 (1978) 429.

    Article  Google Scholar 

  7. L. Cooper, The transportation-location problem, Oper. Res. 20 (1972) 94.

    Google Scholar 

  8. T. Crackel, The linkage of data describing overlapping geographical units — A second iteration, Historical Methods Newsletter 8 no. 3 (1975) 146.

    Google Scholar 

  9. J.R. Current and D.A. Schilling, Elimination of source A and B errors inp-median location problems, Geog. Anal. 19 (1987) 95.

    Google Scholar 

  10. M.S. Daskin, K. Hogan and C. ReVelle, Integration of multiple, excess, backup, and expected covering models, Env. And Pl. B., Vol. 15 (1988) 15.

    Google Scholar 

  11. P. Densham and G. Rushton, Decision support systems for locational planning, in:Behavioural Modelling Approaches in Geography eds. H. Timmermans and R.G. Golledge (Croom Helm, London, 1987) pp. 56–90.

    Google Scholar 

  12. D.J. Eaton, H.M.L. Sanchez, R.R. Lantigua and J. Morgan, Determining ambulance deployment in Santo Domingo, Dominican Republic, Jour. Oper. Res. Soc. 37 (1986) 113.

    Google Scholar 

  13. M.J. Farrell, The measure of productive efficiency, J. Roy. Stat. Soc. Series A (General) Part III (1957) 253.

  14. B. Fischoff and B. Goitein, The informal use of formal models, Acad. Man. Rev. 9 (1984) 505.

    Google Scholar 

  15. M.F. Goodchild, The aggregation problem in location-allocation, Geog. Anal. 11 (1979) 240.

    Google Scholar 

  16. M.F. Goodchild and B.H. Massam, Some least-cost models of spatial administrative systems in Southern Ontario, Geografiska Annaler 52 (1969) 86.

    Google Scholar 

  17. P. Gould, S. Nordbeck and B. Rystedt, Data sensitivity and scale experiments in locating multiple facilities, in:Multiple Location Analysis eds. G. Tornqvist, S. Nordbeck, B. Rystedt and P. Gould, Lund Studies in Geography Series C, General, Mathematical and Regional Geography no. 12, (Lund, Sweden, 1971) pp. 67–84.

    Google Scholar 

  18. E.L. Hillsman,Heuristic Solutions to Location-Allocation Problems: A User's Guide to ALLOC IV, V, and VI, monograph 7 (Department of Geography, University of Iowa, Iowa City, IA).

  19. E.L. Hillsman, Thep-median structure as a unified linear model for location-allocation analysis, Env. & Pl. A 16 (1984) 305.

    Google Scholar 

  20. E.L. Hillsman and R. Rhoda, Errors in measuring distances from populations to service centers, Annal. Reg. Sci. 12 (1978) 74.

    Article  Google Scholar 

  21. C.A. Holloway, D.A. Wehrung and M.P. Zeitlin, An interactive procedure for the school boundary problem with declining enrollment, Oper. Res. 23 (1975) 191.

    Google Scholar 

  22. L.D. Hopkins, Evaluation of methods for exploring ill-defined problems, Env. & Pl. B 11 (1984) 339.

    Google Scholar 

  23. P.J. Kolesar, Travel time and travel distance models, in:Fire Deployment Analysis eds. W.E. Walker, J.M. Chaiken and E.J. Ignall (North-Holland, New York, 1979) pp. 157–201.

    Google Scholar 

  24. N.S.-N. Lam, Spatial interpolation methods: A review, The Amer. Cart. 10 (1983) 129.

    Google Scholar 

  25. R.C. Larson, Approximating the performance of urban emergency service systems, Oper. Res. 23 (1975) 845.

    Google Scholar 

  26. R.C. Larson and K.A. Stevenson, On insensitivities in urban redistricting and facilty location, Oper. Res. 20 (1972) 595.

    Google Scholar 

  27. E.E. Leamer, Locational equilibria, J. Reg. Sci. 8 (1968) 229.

    Google Scholar 

  28. R. Lineberry,Equality and Public Policy (Sage, Beverly Hills, 1977).

    Google Scholar 

  29. B.I. Logan, Evaluating public policy costs in rural development planning: the example of health care in Sierra Leone, Econ. Geog. 61 (1985) 144.

    Google Scholar 

  30. R.F. Love, J.G. Morris and G.O. Wesolowsky,Facilities Location Models and Methods, (Elsevier Science Publishing Co, New York, 1988).

    Google Scholar 

  31. L. Mayhew,Urban Hospital Location (Allen & Unwin, London, 1986).

    Google Scholar 

  32. S. McLafferty, Constraints on distributional equity in the location of public services, Pol. Geog. Ort. 3 (1984) 33.

    Article  Google Scholar 

  33. S. McLafferty and A. Ghosh, Issues in measuring differential access to public services, Urban Stud. 19 (1982) 383.

    Google Scholar 

  34. S.G. Nichols and R. Honey, An application of a location-allocation model to evaluate and improve geographic accessibility of vocational training centers in Jordan, in:Proc. Ninth Annual Applied Geography Conference (1986).

  35. S. Park, Performance of successively complex rules for locational decision-making, Ann. Oper. Res. 18 (1989) this volume.

  36. R.A. Reid, K.L. Ruffing and H.L. Smith, Managing medical supply logistics among health workers in Ecuador, Soc. Sci. Med. 22 (1986) 9.

    Article  PubMed  Google Scholar 

  37. G. Rushton, Map transformations of point patterns: Central place patterns in areas of variable population density,Papers Regional Science Association 28 (1972) 111.

    Article  Google Scholar 

  38. G. Rushton, Use of location-allocation models for improving the geographical accessibility of rural services in developing countries, Intl. Reg. Sci. Rev. 9 (1984) 217.

    Google Scholar 

  39. G. Rushton, Selecting the objective function in location-allocation analyses, in:Spatial Analysis and Location-Allocation Models, eds. A. Ghosh and G. Rushton (Van Nostrand Reinold, New York, 1987) pp. 345–364.

    Google Scholar 

  40. J.B. Schneider, Solving urban location problems: human intuition versus the computer, J. Amer. Inst. Pl. 37 (1971) 95.

    Google Scholar 

  41. H.D. Sherman, Hospital efficiency measurement and evaluation: empirical test of a new technique, Med. Care 22 (1984) 922.

    PubMed  Google Scholar 

  42. R. Stock, Distance and the utilization of health facilities in rural Nigeria, Soc. Sci. Med. 9 (1983) 563.

    Article  Google Scholar 

  43. A.J. Swersey and E.J. Ignall, eds.,Delivery of Urban Services, TIMS Studies in the Management Sciences 22 (North-Holland, New York, 1986).

    Google Scholar 

  44. M.B. Teitz and P. Bart, Heuristic methods for estimating the generalized vertex median of a weighted graph, Oper. Res. 16 (1968) 955.

    Google Scholar 

  45. W.R. Tobler, Smooth pycnophylactic interpolation for geographic regions, J. Amer. Stat. Assn. 74 (1979) 519.

    Google Scholar 

  46. R.J. Volkema, Problem formulation in planning and design, Man. Sci. 29 (1983) 639.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rushton, G. Applications of location models. Ann Oper Res 18, 25–42 (1989). https://doi.org/10.1007/BF02097794

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02097794

Keywords

Navigation