Encyclopedia of optimization. In 6 vols. (Q2724100)

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scientific article; zbMATH DE number 1615579
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Encyclopedia of optimization. In 6 vols.
scientific article; zbMATH DE number 1615579

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    9 July 2001
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    Encyclopedia
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    Optimization
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    algorithms
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    solution methods
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    application of optimization
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    Encyclopedia of optimization. In 6 vols. (English)
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    The Encyclopedia of Optimization covers the theoretical foundations, the algorithmic developments and the applications of optimization. NEWLINENEWLINENEWLINEThis encyclopedia consists of 6 volumes; Vols. 1--5 contains the articles to optimization and the final contains a cumulative index. There are two types of articles. The first ones are survey articles regarding various topics of optimization of general interest, the second ones contain more detailed concrete problems, techniques and applications. The reader also finds selected biographies. NEWLINENEWLINENEWLINEThis work deals with all areas of optimization: combinatorial optimization, complementarity problems, concave programming, cone programming, constrained and unconstrained nonlinear optimization, convex optimization, discontinuous optimization, dynamic programming, fractional optimization, geometric programming, global optimization, goal programming, integer programming, linear programming, mixed integer programming, multi-objective programming, nonconvex optimization nonsmooth optimization, optimal control, parametric optimization, quadratic programming, robust optimization, semidefinite programming, semi-infinite programming, stochastic optimization, variational inequalities, vector optimization.NEWLINENEWLINENEWLINEMany algorithms are included, for example: branch-and-bound methods, cutting plane methods, decomposition techniques, evelationary algorithms, genetic algorithms, gradient methods, homotopy methods, interior point methods, Lagrange multipliers methods, Newton and Newton-type methods, parallel algorithms, penalty methods, projective methods, search algorithms, simplex algorithms, SQP methods, SSC minimization algorithms.NEWLINENEWLINENEWLINEOne can find applications of optimization to chemistry, biology, medicine, engineering mechanics and economy (for example, finance, multicriteria decision making, matching problems, scheduling problems, spatial problems, auctions, location problems, data envelopment analysis, networks, equilibrium theory, preference modeling), but also to approximation problems, assignment, graph theory be last squares problems etc.NEWLINENEWLINENEWLINEThis work is recommended to scientists, students, engineers and decision makers or problem solvers in business, industry and government.
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