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The dynamics and internal geometry of the three-city noxious location problem

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Publication:1310194
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DOI10.1016/0895-7177(93)90120-NzbMath0785.90063MaRDI QIDQ1310194

Mark J. Kaiser

Publication date: 13 April 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)


zbMATH Keywords

closed-form solutionnoxious facility location problem\(n\)-city problemconvex hull of three citieslogarithmic potential function


Mathematics Subject Classification ID

Continuous location (90B85)


Related Items

A Geometric Proof of the Siebeck–Marden Theorem



Cites Work

  • The algebraic degree of geometric optimization problems
  • Analytical models for locating undesirable facilities
  • Locating an obnoxious facility
  • Open questions concerning Weiszfeld's algorithm for the Fermat-Weber location problem
  • An Analysis of Network Location Problems with Distance Constraints
  • State of the Art—Location on Networks: A Survey. Part II: Exploiting Tree Network Structure
  • The Nonlinear Geometry of Linear Programming. I Affine and Projective Scaling Trajectories
  • The Nonlinear Geometry of Linear Programming. II Legendre Transform Coordinates and Central Trajectories
  • On the Set of Optimal Points to the Weber Problem
  • A Generalization of a Theorem of Bôcher
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