Optimal dispersion and central places

Journal of Geographical Systems

Volumn 9, Issue 2, 2007, Pages 167-187

  Curtin, Kevin M ^a   Church, Richard L ^b  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Central place theory; Dispersion; Linear programming; Optimization

Indexed keywords

CENTRAL PLACE THEORY; LINEAR PROGRAMING; OPTIMIZATION;

EID: 34250625688     PISSN: 14355930     EISSN: 14355949     Source Type: Journal    
DOI: 10.1007/s10109-007-0042-4     Document Type: Article

References (41)

1. Beaumont JR (1987) Location-allocation models and central place theory. In: Ghosh A, Rushton G (eds) Spatial analysis and location-allocation models. Van Nostrand Reinhold, New York
2. Berry BJL, Garrison WL (1958) The functional bases of the central place hierarchy. Econ Geogr 34:145-154
3. Berry BJL, Parr JB (1988) Market centers and retail location: Theory and applications. 2nd edn. Prentice-Hall, Englewood Cliffs
4. Berry BJL, Pred AR (1965) Central place studies; a bibliography of theory and applications (Regional Science Research Institute, Bibliography series 1.0001) Regional Science Research Institute, Philadelphia
5. Boots B, Shiode N (2003) Recursive voronoi diagrams. Environ Plann B Plann Des 30:113-124
6. Bunge W (1966) Theoretical Geography, 2nd revised and enlarged edn. (Lund studies in geography. Series C, general and mathematical geography no. 1). Royal University of Lund, Department of Geography, Gleerup
7. Christaller W (1966) Central places in southern Germany. Translated by C. W. Baskin Prentice-Hall, Englewood Cliffs
8. Church RL, Bell TL (1990) Unpacking central place geometry.1. Single level theoretical K - systems. Geogr Analysis 22:95-115
9. Cronon W (1991) Nature's metropolis: Chicago and the great west. W.W. Norton, London
10. Current JR, Storbeck JE (1994) A multiobjective approach to design franchise outlet networks. J Oper Res Soc 45:71-81
11. Curtin KM. 2002. Models for multiple-type discrete dispersion. Ph.D. dissertation, Department of Geography, University of California, Santa Barbara
12. Curtin KM, Church RL (2006) A family of location models for multiple-type discrete dispersion. Geogr Analysis 38:247-269
13. d'Aspremont C, Gabszewicz JJ, Thisse J-F (1979) On Hotelling's "stability in competition". Econometrica 47:1145-1150
14. Devletoglou NE (1965) A dissenting view of duopoly and spatial competition. Economica 32:140-160
15. Dokmeci VF (1973) An optimization model for a hierarchical spatial system. J Reg Sci 13:439-451
16. Eaton BC, Lipsey RG (1982) An Economic Theory of Central Places. Econ J 92:56-72
17. Ebdon D (1988) Statistics in geography, 2nd edn. Blackwell, Oxford
18. Erkut E (1990) The discrete p-dispersion problem. Eur J Oper Res 46:48-60
19. Erkut E, Neuman S (1989) Analytical models for locating undesirable facilities. Eur J Oper Res 40:275-291
20. Erkut E, Neuman S (1990) Comparison of four models for dispersing facilities. INFOR 29:68-86
21. Fisher HB, Rushton G (1979) Spatial efficiency of service locations and the regional development process. Pap Reg Sci Assoc 42:83-97
22. Ghosh A, Craig CS (1991) Fransys - a Franchise distribution system location model. J Retailing 67:466-495
23. Goodchild MF (1984) ILACS: A location-allocation model for retail site selection. J Retailing 60:84-100
24. Griffith DA (1986) Central place structures using constant elasticity of substitution demand cones: The infinite plane. Econ Geogr 62:74-84
25. Hakimi SL (1964) Optimum locations of switching centers and the absolute centres and medians of a graph. Oper Res 12:450-459
26. Hotelling H (1929) Stability in competition. Econ J 39:41-57
27. Kendall DG (1989) A survey of the statistical theory of shape. Stat Sci 4:87-99
28. Kohsaka H (1984) An optimization of the central place system in terms of the multipurpose shopping trip. Geogr Analysis 16:251-269
29. Kuby M (1989) A location-allocation model of Losch's central place theory - testing on a uniform lattice network. Geogr Analysis 21:316-337
30. Kuby MJ (1987) Programming models for facility dispersion: The p-dispersion and maxisum dispersion problems. Geogr Analysis 19:315-329
31. Lösch A (1954) The economics of location, Translated by Woglam WH, Stolper WF. Yale University Press, New Haven
32. Narula SC, Ogbu UI (1979) An hierarchal location-allocation problem. Omega 7:137-143
33. Okabe A, Suzuki A (1997) Locational optimization problems solved through Voronoi diagrams. Eur J Oper Res 98:445-456
34. Prescott EC, Visscher M (1977) Sequential location among firms with foresight. Bell J Econ 8:378-393
35. Puryear D (1975) A programming model of central place theory. J Reg Sci 15:307-316
36. Rushton G (1987) Selecting the objective function in location-allocation analyses. In: Ghosh A, Rushton G (eds). Spatial analysis and location-allocation models. Van Nostrand Reinhold, New York
37. Shier DR (1977) A min-max theorem for p-center problems on a tree. Transp Sci 11:243-52
38. Storbeck JE (1988) The spatial structuring of central places. Geogr Analysis 20:93-110
39. Storbeck JE (1990) Classical central places as protected thresholds. Geogr Analysis 22:4-21
40. Tobler W (1993) Three presentations on geographical analysis and modeling. National Center for Geographic Information and analysis, Santa Barbara
41. West DS (1981) Testing for market preemption using sequential location data. Bell J Econ 12:129-143