{"product_id":"9780792371397","title":"Applied Optimization","description":"\u003ch1\u003eApplied Optimization\u003c\/h1\u003e \u003ch2\u003eZlobec, S.\u003c\/h2\u003e \u003cp\u003eOptimality and stability are two important notions in applied  mathematics. This book is a study of these notions and their  relationship in linear and convex parametric programming models. It  begins with a survey of basic optimality conditions in nonlinear  programming. Then new results in convex programming, using LFS  functions, for single-objective, multi-objective, differentiable and  non-smooth programs are introduced. Parametric programming models are  studied using basic tools of point-to-set topology. Stability of the  models is introduced, essentially, as continuity of the feasible set  of decision variables under continuous perturbations of the  parameters. Perturbations that preserve this continuity are regions of  stability. It is shown how these regions can be identified. The main  results on stability are characterizations of locally and globally  optimal parameters for stable and also for unstable perturbations. The  results are straightened for linear models and bi-level programs. Some  of the results are extended to abstract spaces after considering  parameters as `controls'. Illustrations from diverse fields, such as  data envelopment analysis, management, von Stackelberg games of market  economy, and navigation problems are given and several case studies  are solved by finding optimal parameters. The book has been written in  an analytic spirit. Many results appear here for the first time in  book form. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e The book is written at the level of a first-year  graduate course in optimization for students with varied backgrounds  interested in modeling of real-life problems. It is expected that the  reader has been exposed to a prior elementary course in optimization,  such as linear or non-linear programming. The last section of the book  requires some knowledge of functional analysis.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-08-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792371397\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4615-0011-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 322\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46539788714124,"sku":"9780792371397","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792371397.jpg?v=1775681864","url":"https:\/\/lateknightbooks.com\/products\/9780792371397","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}