The weighted minimax location problem with set-up costs and extensions

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1. 1. C. D. BENNETT and A. MIRAKHOR, Optimal Facility Location with Respect to Several Regions, Journal of Regional Science, 1974, 14, pp. 131-136. 
2. 2. V. F. DEMJANOV, Algorithms for some Minimax Problems, Journal of Computer and Systems Sciences, 1968, 2, pp. 342-380. Zbl0177.23104MR247878
3. 3. W. DOMSCHKE and A. DREXL, Location and Layout Planning, an International Bibliography, Lecture Notes in Economics and Mathematical Systems, 1985, No. 238, Springer-Verlag, Berlin. Zbl0554.90028MR871066
4. 4. Z. DREZNER, On Minimax Optimization Problems, Mathematical Programming, 1982, 22, pp. 227-230. Zbl0473.90067MR643585
5. 5. Z. DREZNER, The p-Center Problem - Heuristic and Optimal Algorithms, Journal of the Operational Research Society, 1984, 15, pp. 300-304. Zbl0544.90024
6. 6. Z. DREZNER, The Planar Two-Center and Two-Median Problems, Transportation Science, 1984, 18, pp. 351-361. MR768175
7. 7. Z. DREZNZR, Location of Regional Facilities, Naval Research Logistics Quarterly, 1986, 33, pp. 523-529. Zbl0593.90029
8. 8. Z. DREZNER, On the Rectangular p-Center Problem, Naval Research Logistics Quarterly, 1987, 34, pp. 229-234. Zbl0614.90034MR880830
9. 9. Z. DREZNER, On the Complexity of the Exchange Algorithm for Minimax Optimization Problems, Mathematical Programming, 1987, 38, pp. 219-222. Zbl0632.90064MR904589
10. 10. Z. DREZNER and B. GAVISH, ε-Approximations for Multidimensional Weighted Location Problems, Operations Research, 1985, 33, pp. 772-773. Zbl0575.90021MR797885
11. 11. Z. DREZNER and G. O. WESOLOWSKY, Single Facility lp Distances Minimax Location, S.I.A.M. Journal of Algebraic and Discrete Methods, 1980, 1, pp. 315-321. Zbl0501.90031MR586159
12. 12. Z. DREZNER and G. O. WESOLOWSKY, Optimal Location of a Facility Relative to Aera Demands, Naval Research Logistics Quarterly, 1980, 27, pp. 199-206. Zbl0443.90028MR574047
13. 13. Z. DREZNER and G. O. WESOLOWSKY, Layout of Facilities with Some Fixed Points, Computers and Operations Research, 1985, 12, pp. 603-610. Zbl0608.90016MR815384
14. 14. M. E. DYER, On the Multidimensional Search Technique and its Application to the Euclidean One-Center Problem, S.I.A.M. Journal on Computing, 1986, 15, pp. 725-738. Zbl0613.68044MR850419
15. 15. J. ELZINGA and D. W. HEARN, Geometrical Solutions for Some Minimax Location Problems, Transportation Science, 1971, 6, pp. 379-394. MR349226
16. 16. J. ELZINGA and D. W. HEARN, The Minimum Covering Sphere Problem, Management Science, 1972, 9, pp. 96-104. Zbl0242.90061MR311316
17. 17. J. ELZINGA, D. W. HEARN and W. D. RANDOLPH, Minimax Multifacility Location with Euclidean Distances, Transportation Science, 1976, 10, pp. 321-336. MR446520
18. 18. W. EYSTER, J. A. WHITE and W. W. WIERWILLE, On Solving Multifacility Location Problems Using a Hyperboloid Approximation Procedure, A.I.I.E. Transactions, 1973, , pp. 1-6. 
19. 19. R. L. FRANCIS and J. A. WHITE, Facility Layout and Location, Prentice Hall, Englewood Cliffs, N. J. (1974). 
20. 20. D. W. HEARN and T. J. LOWE, A Subgradient Procedure for the Solution of Minimax Location Problems, Computers & Industrial Engineering, 1978, 2, pp. 17-25. 
21. 21. D. W. HEARN and J. VIJAY, Efficient Algorithms for the (Weighted) Minimum Circle Problem, Operations Research, 1982, 30, pp. 777-795. Zbl0486.90039MR666365
22. 22. S. K. JACOBSEN, An Algorithm for the Minimax Weber Problem, European Journal of Operational Research, 1981, 6, pp. 144-148. Zbl0452.90024MR626430
23. 23. R. F. LOVE, A Computational Procedure of Optimally Locating a Facility with Respect to Several Rectangular Regions, Journal of Regional Science, 1972, 12, pp. 233-242. 
24. 24. R. F. LOVE, J. G. MORRIS and G. O. WESOLOWSKY, Facilities Location, Models and Methods, North Holland, New York, 1988. Zbl0685.90036MR1016608
25. 25. R. F. LOVE, G. O. WESOLOWSKY and S. KRAEMER, A Multifacility Minimax Location Method for Euclidean Distances, International Journal of Production Research, 1973, 11, pp. 32-40. 
26. 26. M. I. SHAMOS and D. HOEY, Closet Point Problems, Sixteenth Annual I.E.E.E. Symposium on Foundation of Computer Science, 1975, pp. 151-162. MR426498
27. 27. J. VIJAY, An Algorithm for the p-Center Problem on the Plane, Transportation Science, 1985, 19, pp. 235-245. Zbl0608.90020
28. 28. R. E. WENDELL and A. P. HURTER, Location Theory, Dominance, and Convexity, Operations Research, 1973, 21, pp. 314-320. Zbl0265.90040MR351409
29. 29. G. O. WESOLOWSKY and R. F. LOVE, Location of Facilities with Rectangular Distances Among Point and Area Destinations, Naval Research Logistics Quarterly, 1971, 18, pp. 83-90. Zbl0216.54202