The generalized Weber problem with expected distances

 Access to full text

 Full (PDF)

1. 1. A. A. ALY and A. S. MARUCHECK, Generalized Weber Problem with Rectangular Regions, Journal of Operational Research Society, 1982, 33, pp. 983-989. Zbl0492.90026
2. 2. M. BAZARAA and C. M. SHETTY, Nonlinear Programming: Theory and Algorithms, Wiley, 1979. Zbl1140.90040MR533477
3. 3. R. G. BLAND, D. GOLDFARB and M. J. TODD, The ellipsoid method: A survey. Operations Research, 1981, 29, pp. 1039-1091. Zbl0474.90056MR641676
4. 4. C. D. BENNETT and A. MIRAKHOR, Optimal Facility Location with respect to several Regions, Journal of Regional Science, 1974, 14, pp. 131-136. 
5. 5. Z. DREZNER, Bounds on the optimal Location to the Weber Problem Under Conditions of Uncertainty, Journal of Operational Research Society, 1979, 30, pp. 923-931. Zbl0417.90093MR549701
6. 6. Z. DREZNER, Sensitivity Analysis of the Optimal Location of A Facility, Naval Research Logistic Quaterly, 1985, 32, pp. 209-224. Zbl0578.90022MR785092
7. 7. Z. DREZNER, Location of Regional Facilities, Naval Research Logistic Quaterly, 1986, 33, pp. 523-529. Zbl0593.90029
8. 8. Z. DREZNER and G. O. WESOLOSWKY, Optimal Location of a Demand Facility Relative to Area Demand, Naval Research Logistic Quaterly, 1980, 27, pp. 199-206. Zbl0443.90028MR574047
9. 9. Z. DREZNER and G. O. WESOLOSWKY, Optimum Location Probabilities in the lp distance Weber Problem. Transportation Science, 1981, 75, pp. 85-97. 
10. 10. R. DURIER and C. MICHELOT, Geometrical Properties of the Fermat-Weber Problem, European Journal of Operational Research, 1985, 20, pp. 332-343. Zbl0564.90013MR800909
11. 11. R. L. FRANCIS and J. WHITE, Facility Layout and Location, Prentice Hall, Englewood Cliffs, 1974. 
12. 12. M. GROTSCHEL, L. LOVASZ and A. SCHRIJVER, The Ellipsoid Method and Combinatorial Optimization, Springer-Verlag, 1986. Zbl0492.90056
13. 13. A. D. IOFFE and V. L. LEVIN, Subdifferentials of Convex Functions, Trans. Moscow Math. Soc., 1972, 26, pp. 1-72. Zbl0281.46039MR372610
14. 14. H. JUEL, Bounds in the Generalized Weber Problem Under Conditions of Uncertainty, Operational Research 1981, 29, pp. 1219-1227. Zbl0474.90035MR641683
15. 15. D. KENDALL, Some Problems in the Theory of Queues, Journal of the Royal Statistical Society Series B, 1951, 13, pp. 151-153. Zbl0045.07801MR47944
16. 16. T. KOSHIZUKA and O. KURITA, Approximate formulas of average distances associated with regions and their applications to Location Problems, Mathematical Programming, 1991, 52, pp. 99-123. Zbl0733.90042MR1111082
17. 17. R. F. LOVE, A Computational Procedure for Optimally Locating a Facility respect to Several Rectangular Regions, Journal of Regional Science, 1972, 12, pp. 233-242. 
18. 18. A. S. MARUCHECK and A. A. ALY, An Efficient Algorithm for the Location-Allocation Problem with Rectangular Regions, Naval Research Logistic Quaterly, 1981, 28, pp. 309-323. Zbl0462.90029
19. 19. C. MICHELOT, The Mathematics of Continuous Location, in Special holde VI Issue of Studies in Location Analysis, J. Karkazis and T. B. Boffey (eds.), University of the Aegean/University of Liverpool, 1993, pp. 59-83. 
20. 20. F. PLASTRIA, Continuous Location Anno, 1992, a Progress Report, in Special Isolde VI Issue of Studies in Location Analysis, J. Karkazis and T. B. Boffey (eds.), 1993, pp. 85-127. 
21. 21. R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, 1970. Zbl0932.90001MR274683
22. 22. J. E. WARD and R. E. WENDELL, A new Norm for Measuring Distance which yields linear Location Problems, Operations Research, 1980, 28, pp. 836-844. Zbl0443.90029
23. 23. J. E. WARD and R. E. WENDELL, Using block norms for location modelling, Operations Research, 1985, 33, pp. 1074-1090. Zbl0582.90026MR806920
24. 24. R. E. WENDELL and A. P. HURTER, Location Theory, Dominance and Convexity, Operations Research, 1973, 21, pp. 314-320. Zbl0265.90040MR351409