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AuthorFloudas, Christodoulos A. author
TitleHandbook of Test Problems in Local and Global Optimization [electronic resource] / by Christodoulos A. Floudas, Pรฃnos M. Pardalos, Claire S. Adjiman, William R. Esposito, Zeynep H. Gรผmรผล{159}, Stephen T. Harding, John L. Klepeis, Clifford A. Meyer, Carl A. Schweiger
ImprintBoston, MA : Springer US : Imprint: Springer, 1999
Connect tohttp://dx.doi.org/10.1007/978-1-4757-3040-1
Descript XVI, 442 p. online resource

SUMMARY

Significant research activities have taken place in the areas of local and global optimization in the last two decades. Many new theoretical, computational, algorithmic, and software contributions have resulted. It has been realized that despite these numerous contributions, there does not exist a systematic forum for thorough experimental computational testing andยท evaluation of the proposed optimization algorithms and their implementations. Well-designed nonconvex optimization test problems are of major imporยญ tance for academic and industrial researchers interested in algorithmic and software development. It is remarkable that eventhough nonconvex models dominate all the important application areas in engineering and applied sciยญ ences, there is only a limited dass of reported representative test problems. This book reflects our long term efforts in designing a benchmark database and it is motivated primarily from the need for nonconvex optimization test problems. The present collection of benchmarks indudes test problems from literature studies and a large dass of applications that arise in several branches of engineering and applied science


CONTENT

1 Introduction -- 2 Quadratic Programming Problems -- 3 Quadratically Constrained Problems -- 4 Univariate Polynomial Problems -- 5 Bilinear problems -- 6 Biconvex and (D.C.) Problems -- 7 Generalized Geometric Programming -- 8 Twice Continuously Differentiable NLPs -- 9 Bilevel Programming Problems -- 10 Complementarity Problems -- 11 Semidefinite Programming Problems -- 12 Mixed-Integer Nonlinear Problems -- 13 Combinatorial Optimization Problems -- 14 Nonlinear Systems of Equations -- 15 Dynamic Optimization Problems


Engineering Chemical engineering Computer science Computer mathematics Mathematical optimization Engineering Engineering general Industrial Chemistry/Chemical Engineering Computer Science general Optimization Computational Mathematics and Numerical Analysis



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