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Convergence of the Weiszfeld Algorithm for Weber Problems Using a Generalized “Distance” Function
8 references·16 citing·36 second hop
Convergence of the Weiszfeld Algorithm for Weber Problems Using a Generalized “Distance” Function (1981)Convergence of the Weiszfeld Algorithm fo…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…On Solving Multifacility Location Problems using a Hyperboloid Approximation Procedure (1973)On Solving Multifacility Loca…Modelling Inter-city Road Distances by Mathematical Functions (1972)Modelling Inter-city Road Dis…A Nonlinear Approximation Method for Solving a Generalized Rectangular Distance Weber Problem (1972)A Nonlinear Approximation Met…Principles of Operations Research. (1970)Principles of Operations Rese…AN EXTENSION OF THE GENERALIZED WEBER PROBLEM† (1968)AN EXTENSION OF THE GENERALIZ…Location-Allocation Problems (1963)Location-Allocation ProblemsCompetitive location models: A review (2023)Competitive location models: …The Weber obnoxious facility location model: A Big Arc Small Arc approach (2018)The Weber obnoxious facility …Revisiting several problems and algorithms in continuous location with $$\ell _\tau $$ ℓ τ norms (2014)Revisiting several problems a…Ant colony optimization algorithm for the Euclidean location-allocation problem with unknown number of facilities (2011)Ant colony optimization algor…Single facility location and relocation problem with time dependent weights and discrete planning horizon (2008)Single facility location and …The central warehouse location problem revisited (2003)The central warehouse locatio…The convergence of the Weiszfeld algorithm (2000)The convergence of the Weiszf…Location of multiple retail facilities with limited budget constraints — in continuous space (1998)Location of multiple retail f…Weber problems with alternative transportation systems (1997)Weber problems with alternati…Location and layout planning (1997)Location and layout planningOn destination optimality in asymmetric distance Fermat-Weber problems (1992)On destination optimality in …A note on the Weber location problem (1992)A note on the Weber location …The Facility Location Problem with Limited Distances (1991)The Facility Location Problem…The Asymmetric Distance Location Problem (1989)The Asymmetric Distance Locat…The Euclidean Multifacility Location Problem (1988)The Euclidean Multifacility L…A Stopping Rule for Facilities Location Algorithms (1981)A Stopping Rule for Facilitie…AN EFFICIENT ALGORITHM FOR THE NUMERICAL SOLUTION OF THE GENERALIZED WEBER PROBLEM IN SPATIAL ECONOMICS (1962)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)Discrete location theory (1991)Facility Layout and Location: An Analytical Approach (1991)Facility Location: A Survey of Applications and Methods. (1996)Location Allocation Problem (2009)Multi-Period Facility Location (2015)Mathematical modeling for a p-mobile hub location problem in a dynamic environment by a genetic algorithm (2017)Heuristic Methods for Location-Allocation Problems (1964)A COMPUTATIONAL PROCEDURE FOR OPTIMALLY LOCATING A FACILITY WITH RESPECT TO SEVERAL RECTANGULAR REGIONS* (1972)Technical Note—Location Theory: A Selective Bibliography (1974)URBAN SIMULATION MODELS IN REGIONAL SCIENCE (1985)Stability in Competition (1929)Defining and Estimating a Trading Area (1964)Stability in Competition (1990)Consumers in Competitive Location Models (2002)A cover-based competitive location model (2010)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)Central Facilities Location (1970)Integer programming formulations of discrete hub location problems (1994)Location analysis: A synthesis and survey (2004)A computation procedure for the exact solution of location‐allocation problems with rectangular distances (1975)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)A Cut Approach to the Rectilinear Distance Facility Location Problem (1978)Open questions concerning Weiszfeld's algorithm for the Fermat-Weber location problem (1989)Scalable Vertiport Hub Location Selection for Air Taxi Operations in a Metropolitan Region (2021)Global Sensitivity Analysis (1995)The evolution of the intellectual structure of operations management—1980–2006: A citation/co‐citation analysis (2008)Soft Systems Methodology (2010)
this work references cited by second hop

References

  • 1963Location-Allocation Problems932 cited
  • 1970Principles of Operations Research.876 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
  • 1973On Solving Multifacility Location Problems using a Hyperboloid Approximation Procedure104 cited
  • 1968AN EXTENSION OF THE GENERALIZED WEBER PROBLEM†87 cited
  • 1972A Nonlinear Approximation Method for Solving a Generalized Rectangular Distance Weber Problem83 cited

Cited by

  • 2008Single facility location and relocation problem with time dependent weights and discrete planning horizon67 cited
  • 1998Location of multiple retail facilities with limited budget constraints — in continuous space61 cited
  • 2023Competitive location models: A review53 cited
  • 2014Revisiting several problems and algorithms in continuous location with $$\ell _\tau $$ ℓ τ norms52 cited
  • 1981A Stopping Rule for Facilities Location Algorithms51 cited
  • 1992On destination optimality in asymmetric distance Fermat-Weber problems49 cited
  • 1997

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Location and layout planning
48 cited
  • 1991The Facility Location Problem with Limited Distances47 cited
  • 2011Ant colony optimization algorithm for the Euclidean location-allocation problem with unknown number of facilities45 cited
  • 1992A note on the Weber location problem43 cited
  • 2003The central warehouse location problem revisited39 cited
  • 2018The Weber obnoxious facility location model: A Big Arc Small Arc approach37 cited
  • 1988The Euclidean Multifacility Location Problem37 cited
  • 1989The Asymmetric Distance Location Problem36 cited
  • 2000The convergence of the Weiszfeld algorithm30 cited
  • 1997Weber problems with alternative transportation systems29 cited