New PDF release: A Reformulation-Linearization Technique for Solving Discrete

By Hanif D. Sherali,W. P. Adams

ISBN-10: 1441948082

ISBN-13: 9781441948083

This ebook bargains with the speculation and purposes of the Reformulation- Linearization/Convexification approach (RL T) for fixing nonconvex optimization difficulties. A unified therapy of discrete and non-stop nonconvex programming difficulties is gifted utilizing this method. In essence, the bridge among those kinds of nonconvexities is made through a polynomial illustration of discrete constraints. for instance, the binariness on a 0-1 variable x . may be equivalently J expressed because the polynomial constraint x . (1-x . ) = zero. the inducement for this publication is J J the position of tight linear/convex programming representations or relaxations in fixing such discrete and non-stop nonconvex programming difficulties. The primary thrust is to begin with a version that provides an invaluable illustration and constitution, after which to extra advance this illustration via computerized reformulation and constraint new release ideas. As pointed out above, the focus of this ebook is the improvement and alertness of RL T to be used as an automated reformulation process, and likewise, to generate robust legitimate inequalities. The RLT operates in levels. within the Reformulation part, particular types of extra implied polynomial constraints, that come with the aforementioned constraints relating to binary variables, are appended to the matter. The ensuing challenge is therefore linearized, other than that yes convex constraints are often retained in XV specific distinct situations, within the Linearization/Convexijication part. this is often performed through the definition of compatible new variables to exchange each one specified variable-product time period. the better dimensional illustration yields a linear (or convex) programming relaxation.

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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems (Nonconvex Optimization and Its Applications) by Hanif D. Sherali,W. P. Adams


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