INVESTIGATIONS OF ALTERNATIVE SOLUTION METHODOLOGIES FOR THE 1-MEDIAN LOCATION PROBLEM ON A SPHERE

Bibliography

1. Absoft Corporation. Windows FORTRAN & C/C++ User Guide, 2000.
2. Adams, J., Brainerd, W., Martin, J., Smith, B., & Wagener, J. FORTRAN 95 Handbook: Complete ISO/ANSI Reference, MIT Press, Cambridge, MA, 1997.
3. Aly, A., Kay, D., & Litwhiler, D. "Location Dominance on Spherical Surfaces." Operations Research, Vol. 27 No. 5, September-October 1979, pp. 972-981.
4. Autodesk, Inc. AutoCAD 2000 User's Guide, 1999.
5. Bate, R., Mueller, D., & White, J. Fundamentals of Astrodynamics, Dover Publications, New York, 1971.
6. Brandeau, M. & Chiu, S. "An Overview of Representative Problems in Location Research," Management Science, Vol. 35 No. 6, June 1989, pp. 645-674.
7. Carrizosa, E., Conde, E., Mu�oz-Marquez, M., & Puerto, J. "The Generalized Weber Problem with Expected Distances," Operations Research, Vol. 29 No. 1, 1995, pp.35-57.
8. Carrizosa, E., Mu�oz-Marquez, M., & Puerto, J. "The Weber Problem with Regional Demand," European Journal of Operational Research, Vol. 104, 1998, pp. 358-365.
9. Chapelle, R. "Location of Central Facilities - Heuristic Algorithms for Large Systems," PhD Dissertation, University of Oklahoma, 1969.
10. Cooper, L. & Katz, I.N., "Optimal Location on a Sphere," Computers & Mathematics with Applications, Vol. 6, 1980, pp. 175-196.
11. "Coordinate systems and transformations," 24 May 2000, http://www.spenvis.oma.be/spenvis/help/background/coortran/coortran.html.
12. Devore, J. Probability and Statistics for Engineering and the Sciences, Duxbury Press, Pacific Grove CA, 1995.
13. Drezner, Z. "A Solution to the Weber Location Problem on the Sphere," Journal of the Operational Research Society, Vol. 36, No. 4, 1985, pp. 333-334.
14. Drezner, Z. "Constrained Location Problems in the Plane and on a Sphere," IIE Transactions, Vol. 15, No. 4, 1983, pp. 300-304
15. Drezner, Z. "Location of Regional Facilities," Naval Research Logistics Quarterly, Vol. 33, 1986, pp. 523-529.
16. Drezner, Z. & Wesolowsky, G. "Minimax and Maximin Facility Location Problems on a Sphere," Naval Research Logistics Quarterly, Vol. 30, 1983, pp. 305-312.
17. Drezner, Z. (ed.) Facility Location: A Survey of Applications and Methods, Springer-Verlag, New York, 1995.
18. Drezner, Z., & Wesolowsky, G. "Facility Location on a Sphere," Journal of the Operational Research Society, Vol. 29, No. 10, 1978, pp. 997-1004.
19. Dudenh�ffer, E. & Nickel, S "Weber's Problem with attraction and repulsion under Polyhedral Gauges," Report in Wirtschaftsmathematik / Universit�t Kaiserslautern / Fachbereich Mathematik,5, April 1997. Downloaded at http://kbibmp3.ub.uni-kl.de/Preprint/About/gelb_5.html on 28 Sep 99.
20. Francis, R., McGinnis, L., & White, J. Facility Layout and Location: An Analytical Approach, Prentice Hall, Englewood Cliffs NJ, 1992.
21. Gaus, M. "Concepts of Geodesy, Surveying, CAD, GPS and GIS," Lecture 1 Notes, 14 October 1999, http://www.civil.buffalo.edu/cie/cie303/lect1.html.
22. Hale, T. "Facility Location: A Synopsis and Taxonomy," Class Notes from USC EN575 Facilities Location Fall 1998 & EN599 Advanced Facilities Location, Spring 1999.
23. Kuhn, H. & Kuenne, R. "An Efficient Algorithm for the Numerical Solution of the Generalized Weber Problem in Spatial Economics," Journal of Regional Science, Vol. 4, 1962, pp. 21-33.
24. Launsby, R. & Schmidt, S. Understanding Industrial Designed Experiments, Air Academy Press, Colorado Springs, 1997.
25. Litwhiler, D. "Large Region Location Problems," PhD Dissertation, University of Oklahoma, 1977.
26. Love, R., Morris, J., & Wesolowsky, G. Facilities Location: Models & Methods, North-Holland, New York, 1988.
27. Mathcad User's Guide: Mathcad 6.0 & Mathcad PLUS 6.0. Mathsoft, Inc., Cambridge, Massachusetts, 1995.
28. Michaelson, H. How to Write & Publish Engineering Papers and Reports, Oryx Press, Phoenix, 1990.
29. Protter, M., & Morrey, C. Calculus with Analytic Geometry: A First Course (Third Edition). Addison-Wesley Publishing Company, Reading, MA, 1977.
30. Stock, M. A Practical Guide to Graduate Research, McGraw-Hill Book Company, New York, 1985.
31. Ward, J. & Wendell, R. "A New Norm for Measuring Distance Which Yields Linear Location Problems," Operations Research, Vol. 28 No. 3 Part II, May-June 1980, pp. 836-844.
32. Weisstein, E. "Great Circle," Eric's Treasure Troves, September 1998.
33. Weisstein, E. "Sphere," Eric's Treasure Troves, September 1998.
34. Weiszfeld, E. "Sur le point pour lequel la somme des distances de n points donne est minimum," Tohoku Mathematical Journal, Vol. 43, 1936, pp. 355-386.
35. Weiszfeld, E. "Sur un probleme de minimum dans l'espace," Tohoku Mathematical Journal, Vol. 42, 1937, pp. 274-280.
36. Wendell, R. "Some Aspects in the Theory of Location," PhD Dissertation, Northwestern University, 1971.
37. Wesolowsky, G. "Location Problems on a Sphere," Regional Science and Urban Economics, Vol. 12, 1982, pp. 495-508.
38. Wesolowsky, G. "The Weber Problem: History and Perspectives," Location Science, Vol. 1 No. 1, 1993, pp. 5-23.

Appendix A

Appendix 1 Weiszfeld's Algorithm, 2-D Euclidean Minisum SFLP Solver Code In FORTRAN95

Appendix B

Appendix 2 Weiszfeld's Algorithm, 3-D Euclidean Minisum SFLP Solver Code In FORTRAN95

Appendix C

Appendix 3 Spheresolver Algorithm - 3-D Euclidean Minisum SFLP Solver, R3 Surface Projection & Sphere Covering Objective Function Solution Code in FORTRAN95

Appendix D

Appendix 4 Greatcircle Algorithm - Spherical Surface Great Circle Arc Minisum SFLP Solver Code in FORTRAN95

Appendix E

Appendix 5 (page 1)
Appendix 5 (page 2)
Appendix 5 (page 3)
Appendix 5 (page 4)
Appendix 5 (page 5)
Appendix 5 (page 6)
Appendix 5 (pages 7-8)
Example Data Sets
Next Page
Back to Index

Hosted by www.Geocities.ws