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商品描述
This book introduces the reader to the field of multiobjective optimization through problems with simple structures, namely those in which the objective function and constraints are linear. Fundamental notions as well as state-of-the-art advances are presented in a comprehensive way and illustrated with the help of numerous examples. Three of the most popular methods for solving multiobjective linear problems are explained, and exercises are provided at the end of each chapter, helping students to grasp and apply key concepts and methods to more complex problems. The book was motivated by the fact that the majority of the practical problems we encounter in management science, engineering or operations research involve conflicting criteria and therefore it is more convenient to formulate them as multicriteria optimization models, the solution concepts and methods of which cannot be treated using traditional mathematical programming approaches.
商品描述(中文翻譯)
本書通過結構簡單的問題介紹多目標優化領域,這些問題的目標函數和約束條件均為線性。書中以全面的方式呈現基本概念及最新進展,並輔以眾多範例進行說明。書中解釋了三種最受歡迎的解決多目標線性問題的方法,並在每章結尾提供練習題,幫助學生掌握並應用關鍵概念和方法於更複雜的問題。該書的動機源於我們在管理科學、工程或運籌學中遇到的大多數實際問題涉及衝突的標準,因此將其表述為多標準優化模型更為方便,而這些模型的解決概念和方法無法使用傳統的數學規劃方法來處理。