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Global Convergence of a Generalized Iterative Procedure for the Minisum Location Problem with lp Distances
9 references·15 citing·39 second hop
Global Convergence of a Generalized Iterative Procedure for the Minisum Location Problem with lp Distances (1993)Global Convergence of a Generalized Itera…Open questions concerning Weiszfeld's algorithm for the Fermat-Weber location problem (1989)Open questions concerning Wei…Facilities Location: Models and Methods (1989)Facilities Location: Models a…The Location of Interacting Hub Facilities (1986)The Location of Interacting H…Mathematical Models of Road Travel Distances (1979)Mathematical Models of Road T…On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem (1978)On the Convergence of a Class…Modelling Inter-city Road Distances by Mathematical Functions (1972)Modelling Inter-city Road Dis…A Network Flow Solution to a Rectilinear Distance Facility Location Problem (1970)A Network Flow Solution to a …Location-Allocation Problems (1963)Location-Allocation ProblemsAN EFFICIENT ALGORITHM FOR THE NUMERICAL SOLUTION OF THE GENERALIZED WEBER PROBLEM IN SPATIAL ECONOMICS (1962)AN EFFICIENT ALGORITHM FOR TH…Revisiting several problems and algorithms in continuous location with $$\ell _\tau $$ ℓ τ norms (2014)Revisiting several problems a…Demand dispersion and logistics costs in one-to-many distribution systems (2012)Demand dispersion and logisti…A guided reactive GRASP for the capacitated multi-source Weber problem (2010)A guided reactive GRASP for t…On the convergence of the generalized Weiszfeld algorithm (2008)On the convergence of the gen…A location–allocation heuristic for the capacitated multi-facility Weber problem with probabilistic customer locations (2008)A location–allocation heurist…Solving the Capacitated Multi-Facility Weber Problem by Simulated Annealing, Threshold Accepting and Genetic Algorithms (2007)Solving the Capacitated Multi…A heuristic algorithm for constrained multi-source Weber problem – The variational inequality approach (2007)A heuristic algorithm for con…New heuristic methods for the capacitated multi‐facility Weber problem (2006)New heuristic methods for the…A Continuous Location-Allocation Problem with Zone-Dependent Fixed Cost (2005)A Continuous Location-Allocat…Global Optimization Procedures for the Capacitated Euclidean and lp Distance Multifacility Location-Allocation Problems (2002)Global Optimization Procedure…The convergence of the Weiszfeld algorithm (2000)The convergence of the Weiszf…Accelerating convergence in the Fermat–Weber location problem (1998)Accelerating convergence in t…A bicriteria model for locating a semi-desirable facility in the plane (1998)A bicriteria model for locati…Location and layout planning (1997)Location and layout planningThe Fermat—Weber location problem revisited (1995)The Fermat—Weber location pro…An Analysis of Private and Public Sector Location Models (1970)Facility location in the presence of forbidden regions, I: Formulation and the case of Euclidean distance with one forbidden circle (1981)Chapter 2 The location of production activities (1987)Weiszfeld’s Method: Old and New Results (2014)Assignment Problems and the Location of Economic Activities (1957)Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph (1964)Location of facilities with rectangular distances among point and area destinations (1971)Technical Note—Location Theory: A Selective Bibliography (1974)A Cut Approach to the Rectilinear Distance Facility Location Problem (1978)Journal of Industrial Engineering (2017)Theory of the Location of Industries (1931)On Solving Multifacility Location Problems using a Hyperboloid Approximation Procedure (1973)A modified Weiszfeld algorithm for the Fermat-Weber location problem (2001)Nonlinear and Dynamic Programming (1966)The Weber Problem (2002)A logistics model for emergency supply of critical items in the aftermath of a disaster (2011)The Market as a Factor in the Localization of Industry in the United States (1954)An Overview of Representative Problems in Location Research (1989)Efficient algorithms for the uncapacitated single allocation p-hub median problem (1996)Multicommodity Distribution System Design by Benders Decomposition * † ‡ (2010)Hub location problems: A review of models, classification, solution techniques, and applications (2013)Location Theory and the Shoe and Leather Industries (1937)Location Theory and the Shoe and Leather Industries. (1939)Location and Space-Economy (1957)SOLUTIONS OF GENERALIZED LOCATIONAL EQUILIBRIUM MODELS† (1967)Exact and approximate solutions to the multisource weber problem (1972)Dynamic Facility Location (1973)A continuous analysis framework for the solution of location–allocation problems with dense demand (2009)The big cube small cube solution method for multidimensional facility location problems (2009)Aggregation for Atanassov’s Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator (2011)Central Facilities Location (1970)Integer programming formulations of discrete hub location problems (1994)Location analysis: A synthesis and survey (2004)Locational analysis (1983)Validating and applying a model for locating emergency medical vehicles in Tuczon, AZ (1990)Locating Backup Facilities to Enhance Supply Chain Disaster Resilience (2008)Improvements and Comparison of Heuristics for Solving the Uncapacitated Multisource Weber Problem (2000)Use of location-allocation models in health service development planning in developing nations (2000)Multi-criteria group consensus under linear cost opinion elasticity (2007)
this work references cited by second hop

References

  • 1963Location-Allocation Problems932 cited
  • 1986The Location of Interacting Hub Facilities632 cited
  • 1989Facilities Location: Models and Methods395 cited
  • 1962AN EFFICIENT ALGORITHM FOR THE NUMERICAL SOLUTION OF THE GENERALIZED WEBER PROBLEM IN SPATIAL ECONOMICS321 cited
  • 1979Mathematical Models of Road Travel Distances172 cited
  • 1978On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem148 cited
  • 1972Modelling Inter-city Road Distances by Mathematical Functions148 cited
  • 1970A Network Flow Solution to a Rectilinear Distance Facility Location Problem103 cited
  • 1989Open questions concerning Weiszfeld's algorithm for the Fermat-Weber location problem102 cited

Cited by

  • 1995The Fermat—Weber location problem revisited79 cited
  • 2014Revisiting several problems and algorithms in continuous location with $$\ell _\tau $$ ℓ τ norms52 cited
  • 1997Location and layout planning48 cited
  • 2002Global Optimization Procedures for the Capacitated Euclidean and lp Distance Multifacility Location-Allocation Problems45 cited
  • 1998Accelerating convergence in the Fermat–Weber location problem44 cited
  • 1998A bicriteria model for locating a semi-desirable facility in the plane

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44 cited
  • 2006New heuristic methods for the capacitated multi‐facility Weber problem43 cited
  • 2010A guided reactive GRASP for the capacitated multi-source Weber problem37 cited
  • 2005A Continuous Location-Allocation Problem with Zone-Dependent Fixed Cost37 cited
  • 2008A location–allocation heuristic for the capacitated multi-facility Weber problem with probabilistic customer locations31 cited
  • 2000The convergence of the Weiszfeld algorithm30 cited
  • 2012Demand dispersion and logistics costs in one-to-many distribution systems28 cited
  • 2007A heuristic algorithm for constrained multi-source Weber problem – The variational inequality approach27 cited
  • 2007Solving the Capacitated Multi-Facility Weber Problem by Simulated Annealing, Threshold Accepting and Genetic Algorithms26 cited
  • 2008On the convergence of the generalized Weiszfeld algorithm26 cited