Empirical convergence speed of inclusion functions for facility location problems

DOI10.1016/j.cam.2005.07.037zbMath1109.65057OpenAlexW2010969638MaRDI QIDQ861908

Tibor Csendes, Boglárka G.-Tóth, José Fernández

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.037

zbMATH Keywords

numerical examplesconvergence speedinterval global optimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Continuous location (90B85) Nonlinear programming (90C30) Interval and finite arithmetic (65G30)

Related Items (9)

The probabilistic customer's choice rule with a threshold attraction value: effect on the location of competitive facilities in the plane ⋮ Planar location and design of a new facility with inner and outer competition: an interval lexicographical-like solution procedure ⋮ The theoretical and empirical rate of convergence for geometric branch-and-bound methods ⋮ Obtaining the efficient set of nonlinear biobjective optimization problems via interval branch-and-bound methods ⋮ Obtaining an outer approximation of the efficient set of nonlinear biobjective problems ⋮ The GLOBAL optimization method revisited ⋮ Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models ⋮ Theoretical rate of convergence for interval inclusion functions ⋮ Interval observer design for consistency checks of nonlinear continuous-time systems

Uses Software

• C-XSC
• C-XSC 2.0

Cites Work

• Solving a huff-like competitive location and design model for profit maximization in the plane
• Optimal centered forms
• Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
• Computation and application of Taylor polynomials with interval remainder bounds
• Economics of location: A selective survey
• On an efficient use of gradient information for accelerating interval global optimization algorithms
• Empirical investigation of the convergence speed of inclusion functions in a global otimization context
• Static competitive facility location: an overview of optimisation approaches.
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