Optimization Concepts and Applications in Engineering, 2/e (Hardcover)

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)

達到或超越先前的品質和可靠性標準,同時減少資源消耗是非常重要的。這本教科書探討了這一關鍵要求,整合了理論、建模、數值方法的發展和問題解決,從而使學生能夠將優化應用於實際問題。本書涵蓋了各種優化問題,包括:無約束、有約束、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;以及基於有限元的優化。在這本修訂和增強的《工程優化概念與應用》第二版中,已經強大的教學法得到了更詳細的解釋,解決了更多的例題和章末問題。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實踐工程師和應用數學領域的從業人員。

- 從第1章開始,詳細介紹了計算機圖形和代碼實現;雖然本書示例中使用了MATLAB和Excel,但對於在CD-ROM或商業軟件中使用程序的理解是通用的。
- 通過在附帶的源代碼計算機程序中實現理論,每章包含一些解決的例子,並強調建模步驟,將理論與實踐相結合。
- 教導學生如何在存在衝突目標的情況下定義目標函數。

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. 有約束最小化;
6. 懲罰函數、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. 運輸、分配和網絡問題的優化應用;
12. 基於有限元的優化。