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Titlebook: Handbook of Combinatorial Optimization; Ding-Zhu Du,Panos M. Pardalos Book 1998 Springer Science+Business Media New York 1998 algorithms.a

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Dynamical System Approaches to Combinatorial Optimization,methods for distributed and parallel processing. Because of the parallelization, these techniques are able to compute a given task much faster than algorithms which are using a traditional sequentially working digital computer..The analysis focuses on the linear two-dimensional (two-index) assignmen
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Débora de Oliveira,Tito Lívio Moitinho Alveseloped for the solution of this class of problems, are presented in this paper: Generalized Benders Decomposition (GBD), Outer Approximation (OA), Generalized Cross Decomposition (GCD), Branch and Bound (BB), Extended Cutting Plane (ECP), and Feasibility Approach (FA). Some recent developments for t
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Mixed-Integer Nonlinear Optimization in Process Synthesis,ons, the ., is exposed in this paper. Process Synthesis seeks to develop systematically process flowsheets that convert raw materials into desired products. In recent years, the optimization approach to process synthesis has shown promise in tackling this challenge. It requires the development of a
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Connections between Nonlinear Programming and Discrete Optimization,s of . are isolated in some topology, i.e., every point of . has a neighbourhood which does not contain other points of .. Obviously, all combinatorial optimization problems are also discrete optimization problems but the converse is not true. A simple example is the problem of minimizing a function
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Interior Point Methods for Combinatorial Optimization,s that arise in computer science and operations research as well as continuous computational problems arising in the natural sciences and engineering. This chapter describes the conceptual basis and applications of interior-point methods for discrete problems in computing.
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Knapsack Problems,constraint. Several variants of the classical 0–1 Knapsack Problem will be considered with respect to relaxations, bounds, reductions and other algorithmic techniques for the exact solution. Computational results are presented to compare the actual performance of the most effective algorithms publis
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Reformulation-Linearization Techniques for Discrete Optimization Problems,stribution, economics and game theory, process design, and engineering design situations. Several recent advances have been made in the development of branch-and-cut algorithms for discrete optimization problems and in polyhedral outer-approximation methods for continuous nonconvex programming probl
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