{"product_id":"9780792368175","title":"Applied Optimization: Problems and Methods","description":"\u003ch1\u003eApplied Optimization: Problems and Methods\u003c\/h1\u003e \u003ch2\u003eTsurkov, Vladimir\u003c\/h2\u003e \u003cp\u003eDecomposition methods aim to reduce large-scale problems to  simpler problems. This monograph presents selected aspects of the  dimension-reduction problem. Exact and approximate aggregations of  multidimensional systems are developed and from a known model of  input-output balance, aggregation methods are categorized. The issues  of loss of accuracy, recovery of original variables (disaggregation),  and compatibility conditions are analyzed in detail. The method of  iterative aggregation in large-scale problems is studied. For fixed  weights, successively simpler aggregated problems are solved and the  convergence of their solution to that of the original problem is  analyzed. An introduction to block integer programming is considered.  Duality theory, which is widely used in continuous block programming,  does not work for the integer problem. A survey of alternative methods  is presented and special attention is given to combined methods of  decomposition. Block problems in which the coupling variables do not  enter the binding constraints are studied. These models are worthwhile  because they permit a decomposition with respect to primal and dual  variables by two-level algorithms instead of three-level algorithms.  \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e This book is addressed to specialists in operations  research, optimization, and optimal control.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-03-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792368175\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4757-3243-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 312\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46265488113804,"sku":"9780792368175","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792368175.jpg?v=1770780242","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780792368175","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}