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Titlebook: Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming; Ivo Nowak Book 2005 Birkh?user Basel 2005 Branch-and-bound.B

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書目名稱Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming
編輯Ivo Nowak
視頻videohttp://file.papertrans.cn/827/826297/826297.mp4
概述Presents the first branch-cut-and-price algorithm for mixed integer nonlinear programming (MINLP).Several new MINLP cuts based on semidefinite programming, interval-gradients and Bezier polynomials ar
叢書名稱International Series of Numerical Mathematics
圖書封面Titlebook: Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming; Ivo Nowak Book 2005 Birkh?user Basel 2005 Branch-and-bound.B
描述Nonlinearoptimizationproblemscontainingbothcontinuousanddiscretevariables are called mixed integer nonlinear programs (MINLP). Such problems arise in many ?elds, such as process industry, engineering design, communications, and ?nance. There is currently a huge gap between MINLP and mixed integer linear programming(MIP) solvertechnology.With a modernstate-of-the-artMIP solver itispossibletosolvemodelswithmillionsofvariablesandconstraints,whereasthe dimensionofsolvableMINLPsisoftenlimitedbyanumberthatissmallerbythree or four orders of magnitude. It is theoretically possible to approximate a general MINLP by a MIP with arbitrary precision. However, good MIP approximations are usually much larger than the original problem. Moreover, the approximation of nonlinear functions by piecewise linear functions can be di?cult and ti- consuming. In this book relaxation and decomposition methods for solving nonconvex structured MINLPs are proposed. In particular, a generic branch-cut-and-price (BCP) framework for MINLP is presented. BCP is the underlying concept in almost all modern MIP solvers. Providing a powerful decomposition framework for both sequential and parallel solvers, it made the su
出版日期Book 2005
關(guān)鍵詞Branch-and-bound; Branch-cut-and-price; Convex relaxation; Decomposition; Heuristics; Lagrangian relaxati
版次1
doihttps://doi.org/10.1007/3-7643-7374-1
isbn_ebook978-3-7643-7374-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightBirkh?user Basel 2005
The information of publication is updating

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Ivo Nowakclose gaps in official relations independently of any government intervention. Also, a strong commitment of a government to a specific role may be weakened by a significant societal counter-weight that opposes this role or is indifferent, while favouring another role. It is therefore necessary to lo
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Ivo Nowak organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state,
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Ivo Nowakrnational Mathematical Union.Giving a new look at the place .This open access book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical rese
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Ivo Nowakrnational Mathematical Union.Giving a new look at the place .This open access book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical rese
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