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Original Articles

The Facility Location Problem for Hyper-Rectilinear Distances

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Pages 94-98 | Received 01 Feb 1980, Published online: 09 Jul 2007

References

  • Francis , R. L. , “ A Note on the Optimum Location of New Machines in Existing Plant Layouts ,” The Journal of Industrial Engineering 14 , 47 ( 1963 ).
  • Juel , H. , and Love , R. F. , “ Hull Properties in Location Problems ,” European Journal of Operational Research 12 , 262 ( 1983 ).
  • Kazarinoff , N. D. , Analytic Inequalities , Holt, Rinehart and Winston , New York ( 1964 ) .
  • Kuhn , H. W. , “ On A Pair of Dual Nonliear Problems ,” Chapter 3 in Nonlinear Programming , Abadie , J. , editor , John Wiley and Sons, Inc. , New York ( 1967 ) .
  • Love , R. F. , and Diwling , P. D. , “ Optimal Weigted l Norm parameters for Facilities Layout Distance Characterizations ,” Research and Working Paper Series No. 187, Faculty of Business, McMaster University , Hamilton , Ontario , May 1983 (abridged version to appear in Management Science (February, 1985).
  • Love , R. F. , and Morris , J. G. , “ A Computation Procedure for the Exact Solution of Location-Allocation Problems with Rectangular Distances ,” Naval Research Logistics Quarterly 22 , p. 441 ( 1975 ).
  • Love , R. F. , and Yeong , W. Y. , “ A Stopping Rule for Facilities Location Algorithms ,” AIIE TRANSACTIONS 13 , 357 ( 1981 ).
  • Morris , J. G. , “ Convergence of the Weiszfeld Algorithm for Weber Problems Using A Generalized Distance Function ,” Operations Research 29 , 37 ( 1981 ).
  • Weiszfeld , E. , “ Sui le point lequel la somme des distances de n points donnés est minimum ,” Tohoku Mathematics Journal 43 , 355 ( 1937 ).
  • Wesolowsky , G. O. , and Love , R. F. , “ The Optimal Location of New Facilities Using Rectangular Distances ,” Operations Research 18 , 124 ( 1971 ).

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