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Titlebook: Complexity and Approximation; Combinatorial Optimi Giorgio Ausiello,Alberto Marchetti-Spaccamela,Vigg Textbook 1999 Springer-Verlag Berlin

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书目名称Complexity and Approximation
副标题Combinatorial Optimi
编辑Giorgio Ausiello,Alberto Marchetti-Spaccamela,Vigg
视频video
概述Comprehensive Assessment of numerous problems in combinatorial optimization.Includes supplementary material:
图书封面Titlebook: Complexity and Approximation; Combinatorial Optimi Giorgio Ausiello,Alberto Marchetti-Spaccamela,Vigg Textbook 1999 Springer-Verlag Berlin
描述N COMPUTER applications we are used to live with approximation. Var­ I ious notions of approximation appear, in fact, in many circumstances. One notable example is the type of approximation that arises in numer­ ical analysis or in computational geometry from the fact that we cannot perform computations with arbitrary precision and we have to truncate the representation of real numbers. In other cases, we use to approximate com­ plex mathematical objects by simpler ones: for example, we sometimes represent non-linear functions by means of piecewise linear ones. The need to solve difficult optimization problems is another reason that forces us to deal with approximation. In particular, when a problem is computationally hard (i. e. , the only way we know to solve it is by making use of an algorithm that runs in exponential time), it may be practically unfeasible to try to compute the exact solution, because it might require months or years of machine time, even with the help of powerful parallel computers. In such cases, we may decide to restrict ourselves to compute a solution that, though not being an optimal one, nevertheless is close to the optimum and may be determined in polyno
出版日期Textbook 1999
关键词Approximation; Combinatorial Algorithms; Complexity; Computer; Partition; Scheduling; Variable; calculus; co
版次1
doihttps://doi.org/10.1007/978-3-642-58412-1
isbn_softcover978-3-642-63581-6
isbn_ebook978-3-642-58412-1
copyrightSpringer-Verlag Berlin Heidelberg 1999
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Approximation through Randomization, many problems arising in different areas: taking into account the scope of this book, however, we will limit ourselves to considering randomized approximation algorithms for N.-hard optimization problems.
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Heuristic methods,gorithms with a guaranteed behaviour, where such a guarantee refers both to the quality of the returned solution (in terms of either worst case or expected performance ratio) and to the running time (polynomial either in the worst or in the average case).
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https://doi.org/10.1007/978-3-642-58412-1Approximation; Combinatorial Algorithms; Complexity; Computer; Partition; Scheduling; Variable; calculus; co
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