Titlebook: Aggregation in Large-Scale Optimization; Igor Litvinchev,Vladimir Tsurkov Book 2003 Springer Science+Business Media Dordrecht 2003 Optimal

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Consistent Aggregation in Parametric Optimization,s is the case when parameters vary over a given set, and optimization should be performed not only with respect to the original decision variables but also with respect to the parameters. The situation becomes even more complicated when the set of admissible parameters is corrected in the course of optimization.

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Aggregated Problem and Bounds for Aggregation,aggregated) problems which are reduced in size and/or complexity relative to the original problem, and c) analyzing the error caused by the replacement of the original problem by a simpler one. In this chapter, we consider realizations of these steps for various classes of optimization problems. The

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Iterative Aggregation-Decomposition in Optimization Problems,uch as weights and clustering, were fixed. In this chapter we focus on iterative methods aimed to construct a sequence of aggregated problems and update aggregation parameters to get an optimal solution of the original problem.

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Consistent Aggregation in Parametric Optimization,s is the case when parameters vary over a given set, and optimization should be performed not only with respect to the original decision variables but also with respect to the parameters. The situation becomes even more complicated when the set of admissible parameters is corrected in the course of