作 者:孟志青 等 著
定 價:126
出 版 社:科學出版社
出版日期:2016年12月01日
頁 數:251
裝 幀:平裝
ISBN:9787030510655
●Preface
●Chapter 1 Lower—Order Penalty Function Algorithm
●1.1 Optimal Condition Based on Lower—Order Penalty Function
●1.2 Smoothing Lower—Order Penalty Function Algorithm
●1.3 Second—Order Smoothing Penalty Function Algorithm
●1.4 Smoothing Square—Root Penalty Function Algorithm
●Chapter 2 Objective Penalty Function Algorithm
●2.1 General Objective Penalty Function Algorithm
●2.2 Exactness Objective Penalty Function Algorithm
●2.3 First—Order Smoothing Objective Penalty Function Algorithm
●2.4 Second—Order Smoothing Objective Penalty Function Algorithm
●Chapter 3 Other Objective Penalty Function Algorithms
●3.1 Barrier Objective Penalty Function Algorithm
●3.2 Barrier Objective Penalty Function Algorithm Ⅱ
●3.3 M—objective Penalty Function Algorithm
●3.4 Lagrange Objective Penalty Function Algorithm
●3.5 Objective Penalty Function Algorithm of Zero—One Problems
●Chapter 4 Objective Penalty Functions Algorithm for MOP, MPCC and BP
●4.1 Objective Penalty Functions Algorithm Ⅰ for MOP
●4.2 Objective Penalty Functions Algorithm Ⅱ for MOP
●部分目錄
罰函數算法是求解約束優化的重要方法,在工程設計、經濟管理、交通運輸等領域裡有著廣發應用。本書將介紹求解約束優化問題的幾類罰函數算法,單目標規劃的低次罰函數光滑化算法、一般目標罰函數算法、準確目標罰函數算法、內點目標罰函數算法、增廣拉格朗日目標罰函數、M目標罰函數算法等,多目標規劃目標罰函數算法,雙層規劃目標罰函數算法,互補約束目標罰函數算法等。以上這些算法對於求解約束優化問題具有重要的作用。
Chapter 1
Lower-Order Penalty Function Algorithm
1.1 Optimal Condition Based on Lower-Order Penalty Function
In this section, by assuming a non-Lipschitz penalty function is exact, n等