Optimization Concepts and Applications in Engineering, 2/e (Hardcover)
暫譯: 工程中的優化概念與應用,第2版 (精裝本)

Ashok D. Belegundu, Professor Tirupathi R. Chandrupatla

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商品描述

It is vitally important to meet or exceed previous quality and reliability standards while at the same time reducing resource consumption. This textbook addresses this critical imperative integrating theory, modeling, the development of numerical methods and problem solving, thus preparing the student to apply optimization to real-world problems. This text covers a broad variety of optimization problems using: unconstrained, constrained, gradient and non-gradient techniques; duality concepts; multiobjective optimization; linear, integer, geometric and dynamic programming with applications; and finite element based optimization. In this revised and enhanced second edition of Optimization Concepts and Applications in Engineering, the already robust pedagogy has been enhanced with more detailed explanations, an increased number of solved examples and end-of-chapter problems. The source codes are now available free on multiple platforms. It is ideal for advanced undergraduate or graduate courses and for practising engineers in all engineering disciplines, as well as in applied mathematics.

‧ Starting from Chapter 1, computer graphics and code implementation are illustrated in detail; while MATLAB and Excel are used in the text examples, the understanding carries over to use of programs in the CD-ROM or commercial software readily ‧ Connects theory to practice by having theory implemented in accompanying source code computer programs, inclusion of a number of solved examples in each chapter and stressing steps in modelling ‧ Teaches students to understand how to define an objective function, especially in the presence of conflicting objectives

Table Of Contents

1. Preliminary concepts;

2. One dimensional unconstrained minimization;

3. Unconstrained optimization;

4. Linear programming;

5. Constrained minimization;

6. Penalty functions, duality, and geometric programming;

7. Direct search methods for nonlinear optimization;

8. Multiobjective optimization;

9. Integer and discrete programming;

10. Dynamic programming;

11. Optimization applications for transportation, assignment, and network problems;

12. Finite element based optimization.

商品描述(中文翻譯)

在滿足或超越先前的品質和可靠性標準的同時,降低資源消耗是至關重要的。本教科書針對這一關鍵需求,整合了理論、建模、數值方法的開發和問題解決,從而使學生能夠將優化應用於現實世界的問題。本書涵蓋了各種優化問題,使用:無約束、約束、梯度和非梯度技術;對偶概念;多目標優化;線性、整數、幾何和動態規劃及其應用;以及基於有限元素的優化。在這本《工程中的優化概念與應用》的修訂增強版中,已經穩健的教學法得到了更詳細的解釋、更多的解題範例和章末問題的增強。源代碼現在可以在多個平台上免費獲得。這本書非常適合高年級本科生或研究生課程,以及所有工程學科的在職工程師,還有應用數學的學習者。

‧ 從第一章開始,計算機圖形和代碼實現都詳細說明;雖然文本範例中使用了 MATLAB 和 Excel,但理解可以延伸到 CD-ROM 或商業軟體中的程序使用。
‧ 通過在附帶的源代碼計算機程序中實現理論,並在每章中包含多個解題範例,強調建模步驟,將理論與實踐相連接。
‧ 教導學生如何定義目標函數,特別是在存在衝突目標的情況下。

目錄

1. 初步概念;
2. 一維無約束最小化;
3. 無約束優化;
4. 線性規劃;
5. 約束最小化;
6. 處罰函數、對偶性和幾何規劃;
7. 非線性優化的直接搜索方法;
8. 多目標優化;
9. 整數和離散規劃;
10. 動態規劃;
11. 交通、分配和網絡問題的優化應用;
12. 基於有限元素的優化。