Article Outline
Keywords
Mathematical Background
Global Unconstrained Optimization
Global Constrained Optimization
Miscellaneous Results
Clique Problem
Quasivariational Inequalities
See also
References
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References
Aluffi-Pentini F, Parisi V, Zirilli F (1985) Global optimization and stochastic differential equations. J Optim Th Appl, 47:1–17
Aluffi-Pentini F, Parisi V, Zirilli F (1988) A global optimization algorithm using stochastic differential equations. ACM Trans Math Software, 14:345–365
Aluffi-Pentini F, Parisi V, Zirilli F (1988) SIGMA - A stochastic integration global minimization algorithm. ACM Trans Math Softw 14:366–380
Baiocchi C, Capelo A (1984) Variational and quasi‐variational inequalities: Application to Free‐boundary problems. Wiley, New York
Billingsley P (1995) Probability and measure. Wiley, New York
Chiang TS, Hwang CR, Sheu SJ (1987) Diffusion for global optimization in Rn. SIAM J Control Optim 25:737–753
Dantzing GB (1963) Linear programming and extensions. Princeton Univ Press, Princeton
Friedman A (1975) Stochastic differential equations and applications, vol 1. Acad Press, New York
Gill PE, Murray W, Wright MH (1981) Practical optimization. Acad Press, New York
Harker P, Pang J (1990) Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math Program 48:161–220
Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680
Matkowsky BJ, Schuss Z (1981) Eigenvalues of the Fokker-Planck operator and the equilibrium for the diffusions in potential fields. SIAM J Appl Math 40:242–254
Motzkin TS, Straus EG (1964) Maxima for graphs and a new proof of a theorem of Turán. Notices Amer Math Soc 11:533–540
Pardalos PM, Rodgers GP (1990) Computational aspects of a branch and bound algorithm for quadratic zero-one programming. Computing 45:131–144
Schuss Z (1980) Theory and applications of stochastic differential equations. Wiley, New York
Tanaka H (1979) Stochastic differential equations with reflecting boundary conditions in convex regions. Hiroshima Math J 9:163–177
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Bruglieri, M., Maponi, P., Recchioni, M.C., Zirilli, F. (2008). Differential Equations and Global Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_125
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DOI: https://doi.org/10.1007/978-0-387-74759-0_125
Publisher Name: Springer, Boston, MA
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