Download e-book for kindle: A Reformulation-Linearization Technique for Solving Discrete by Hanif D. Sherali,W. P. Adams

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By Hanif D. Sherali,W. P. Adams

ISBN-10: 1441948082

ISBN-13: 9781441948083

This booklet offers with the speculation and functions of the Reformulation- Linearization/Convexification procedure (RL T) for fixing nonconvex optimization difficulties. A unified remedy of discrete and non-stop nonconvex programming difficulties is gifted utilizing this process. In essence, the bridge among those varieties 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 incentive for this booklet is J J the position of tight linear/convex programming representations or relaxations in fixing such discrete and non-stop nonconvex programming difficulties. The vital thrust is to start with a version that presents an invaluable illustration and constitution, after which to extra advance this illustration via automated reformulation and constraint new release suggestions. As pointed out above, the point of interest of this booklet is the advance and alertness of RL T to be used as an automated reformulation approach, and in addition, to generate powerful legitimate inequalities. The RLT operates in stages. within the Reformulation section, particular types of extra implied polynomial constraints, that come with the aforementioned constraints when it comes to binary variables, are appended to the matter. The ensuing challenge is in this case linearized, other than that definite convex constraints are often retained in XV specific precise instances, within the Linearization/Convexijication section. this can be performed through the definition of appropriate new variables to exchange each one detailed 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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