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Title of Journal: J Glob Optim

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Abbravation: Journal of Global Optimization

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Springer US

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DOI

10.1016/0140-6701(95)80190-1

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1573-2916

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Stability Index Method for Global Minimization

Authors: James Dover Semion Gutman
Publish Date: 2006/06/14
Volume: 36, Issue: 2, Pages: 307-318
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Abstract

The Stability Index Method SIM combines stochastic and deterministic algorithms to find global minima of multidimensional functions The functions may be nonsmooth and may have multiple local minima The method examines the change of the diameters of the minimizing sets for its stopping criterion At first the algorithm uses the uniform random distribution in the admissible set Then normal random distributions of decreasing variation are used to focus on probable global minimizers To test the method it is applied to seven standard test functions of several variables The computational results show that the SIM is efficient reliable and robust

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Other Papers In This Journal:
  1. On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces
  2. Iterative algorithms for variational inequality and equilibrium problems with applications
  3. Efficient Nash equilibria on semilattices
  4. Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint
  5. Global search perspectives for multiobjective optimization
  6. Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints
  7. Rigorous filtering using linear relaxations
  8. On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
  9. Low dimensional simplex evolution: a new heuristic for global optimization
  10. A biased random-key genetic algorithm to maximize the number of accepted lightpaths in WDM optical networks
  11. Variational inclusions problems with applications to Ekeland’s variational principle, fixed point and optimization problems
  12. A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints
  13. Existence and iterative algorithm of solutions for a class of bilevel generalized mixed equilibrium problems in Banach spaces
  14. Vector equilibrium problems with elastic demands and capacity constraints
  15. Dynamic sample budget allocation in model-based optimization
  16. On an elliptic Kirchhoff-type problem depending on two parameters
  17. Some constraint qualifications for quasiconvex vector-valued systems
  18. Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part II—performance evaluation of draft tube model
  19. Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation
  20. A Lagrangian search method for the P -median problem
  21. Minimum vertex cover in ball graphs through local search
  22. Approximating zeros of monotone operators by proximal point algorithms
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