Constrained Location Problems in the Plane and on a Sphere

References

• Aly , A. A. , Kay , D. C. , and Litwhiler , D. W. , Jr. ;, “ Location Dominance on Spherical Surfaces ,” Operations Research 27 , 972 – 981 ( 1979 ).
   Web of Science ®Google Scholar
• Brady , S. D. and Rosenthal , R. E. , “ Interactive Computer Giaphieal Solution of Constrained Minimax Location Problems ,” AIIE TRANSACTIONS 12 , 241 – 248 ( 1980 ).
   Web of Science ®Google Scholar
• Chandrasekaran , R. and Pacca , M. J. , “ Weighted Min-Max and Max-Min Location Problems: Finite and Polynomially Bounded Algorithms ,” University of Texas at Dallas Report ( 1977 ).
   Google Scholar
• Charalambus , C. , “ An Iterative Algorithm for the Multi-facility Minimax Location with Euclidean Distances ,” Naval Research Logistics Quarterly 28 , 325 – 337 ( 1981 ).
   Google Scholar
• Chrystal , G. , “ On the Problem to Construct the Minimum Circle Enclosing n Given Points in the Plane ,” Proceeding of the Edinborgh Mathematical Society 3 , 30 – 33 ( 1885 ).
   Google Scholar
• Church , R. L. and Garfinkel , R. S. , “ Locating an Obnoxious Facility on a Network ,” Transportation Science 12 , 2 ( May 1978 ).
   Google Scholar
• Dearing , P. M. and Francis , R. L. , “ A Network Flow Solution to the Multifacility Location Problem Involving Rectilinear Distances ,” Transportation Science 8 , 126 – 141 ( 1974 ).
   Google Scholar
• Drezner , Z. , “ On a Modified One Center Problem ,” Management Science 27 , 848 – 851 ( 1981 ).
   Web of Science ®Google Scholar
• Drezner , Z. and Wesolowsky , G. O. , “ A New Method for the Multifacility Minimax Location Problem ,” Journal of the Operational Research Society 29 , 1095 – 1101 ( 1978 ).
   PubMed Web of Science ®Google Scholar
• Drezner , Z. and Wesolowsky , G. O. , “ Single Facility p Distance Minimax Location ,” SIAM Journal of Algebraic and Discrete Methods 1 , 315 – 321 ( 1980 ).
   Google Scholar
• Drezner , Z. and Wesolowsky , G. O. , “ A Maximin Location Problem with Maximum Distances Constraints ,” AWF TRANSACTIONS 12 , 249 – 252 ( 1980 ).
   Google Scholar
• Drezner , Z. and Wesolowsky , G. O. , “ Facility Location on a Sphere ,” Journal of the Operational Research Society 29 , 997 – 1004 ( 1978 ).
   Web of Science ®Google Scholar
• Drezner , Z. and Wesolowsky , G. O. , “ Minimax and Maximin Location Problems on the Sphere ,” Naval Research Logistic Quarterly 23 , 241 – 248 ( 1983 ).
   Google Scholar
• Elzinga , J. and Hearn , D. W. , “ Geometrical Solution for Some Minimax Location Problems ,” Transportation Science 6 , 379 – 394 ( 1971 ).
   Google Scholar
• Elzinga , J. and Heaam , D. W. , “ The Minimum Covering Sphere Problem ,” Management Science 18 , 96 – 104 ( 1972 ).
   Web of Science ®Google Scholar
• Elzinga , J. , Hearn , D. W. , and Randolph , W. D. , “ Minimax Multifacility Location with Euclidean Distances ,” Transportation Science 10 , 321 – 336 ( 1976 ).
   Google Scholar
• Francis , R. L. and White , J. A. , Facility Layout and Location , Prentice Hall, Inc. , Englewood Cliffs , NJ ( 1974 ) .
   Google Scholar
• Hearn , D W. and Lowe , T. J. , “ A Subgradient Procedure for the Solution of Minimax Location Problems ,” Computers & Industrial Engineering 2 , 17 – 25 ( 1978 ).
   Web of Science ®Google Scholar
• Jacobsen S. K. , “ An Algorithm for the Minimax Weber Problem ,” European Journal of Operational Research 6 144 – 148 ( 1981 ).
   Web of Science ®Google Scholar
• Katz . I. N. , “ On the Convergence of a Numerical Scheme for Solving Some Locational Equilibrium Problems ,” SIAM Journal on Applied Mathematics 17 , 1224 – 1231 ( 1969 ).
   Web of Science ®Google Scholar
• Katz , I. N. and Cooper , L. , “ Optimal Location of a Sphere ,” Computers and Mathematics with Applications 6 , 175 – 196 ( 1980 ).
   Web of Science ®Google Scholar
• Lawson , C. L. , “ The Smallest Covering Cone or Sphere ,” SIAM Review 7 , 415 – 417 ( 1965 ).
   Web of Science ®Google Scholar
• Love , R. L. , Wesolowsky , G. O. , and Kraemer , S. A. , “ A Multifacility Minimax Location Method for Euclidean Distances ,” International Journal of Production Research 11 , 32 – 40 ( 1973 ).
   Google Scholar
• Shamos , M. I. and Hoey , D. , “ Closest Point Problems ,” 16th Annual IEEE Symposium on Foundation of Computer Science 151, 162 ( 1975 ).
   Google Scholar
• Sylvester , J. J. , “ A Question in the Geometry of Situation ,” Quarterly Journal of Pure and Applied Mathematics 1 , 79 ( 1857 ).
   Google Scholar