The Weber problem revisited

DOI10.1016/0898-1221(81)90082-1zbMath0457.65044OpenAlexW2003115272MaRDI QIDQ1151240

Leon Cooper, I. Norman Katz

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90082-1

zbMATH Keywords

Newton-Raphson methodgradient methodWeber problemunconstrained optimization problemtwo dimensional continuous location problem

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items

Location problems with costs being sums of powers of Euclidean distances, The Fermat-Weber location problem in single integrator dynamics using only local bearing angles, A primal-dual algorithm for the fermat-weber problem involving mixed gauges, A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem, A geometric perspective of the Weiszfeld algorithm for solving the Fermat−Weber problem, The Weiszfeld Algorithm: Proof, Amendments, and Extensions

Cites Work

• Minimization of functions having Lipschitz continuous first partial derivatives
• Location-Allocation Problems
• Local convergence in Fermat's problem
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