Optimization Concepts and Applications in Engineering,9780130312792

Optimization Concepts and Applications in Engineering

by ;
Edition: CD
ISBN13: 9780130312792
ISBN10: 0130312797
Format: Paperback
Pub. Date: 1999-01-01
Publisher(s): Pearson College Div
List Price: $131.00

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Summary

This new hands-on book focuses on theimplementation of optimization in engineering. Offering a strong foundation and coverage of theory, this new book provides the student with experiential learning through its special attention to implementation as well as its accompanying computer programs all on a single platform--on disk. Features reliable and tested computer programs of real-world optimization problems that include discussion and programs on shape and topology optimization of structures not found in other books. Includes various exercise problems and solved examples. Offers detailed discussion of algorithms, their implementation and computer programs with source code. With its emphasis on implementation and availability of computer programs, this book will be useful to those in this industry, including researchers and practicing engineers.

Table of Contents

Preface x
Preliminary Concepts
1(20)
Introduction
1(1)
Historical Sketch
2(1)
The Nonlinear Programming Problem
3(3)
Mathematical Fundamentals
6(9)
Conclusion
15(6)
Problems
17(1)
Computer Programs
17(4)
One-Dimensional Unconstrained Minimization
21(35)
Introduction
21(1)
Single-Variable Minimization
21(7)
Unimodality and Bracketing the Minimum
28(2)
Fibonacci Method
30(6)
Golden Section Method
36(3)
Polynomial-Based Methods
39(4)
Zero of a Function
43(3)
Conclusion
46(10)
Problems
47(4)
Computer Programs
51(5)
Unconstrained Minimization
56(36)
Introduction
56(1)
Necessary and Sufficient Conditions for Optimality
57(4)
Convexity
61(2)
Basic Concepts: Starting Design, Direction Vetor, and Step Size
63(1)
The Steepest Descent Method
64(6)
The Conjugate Gradient Method
70(4)
Newton's Method
74(4)
Quasi-Newton Methods
78(3)
Trust Region Methods
81(11)
Problems
83(3)
Computer Programs
86(6)
Linear Programming
92(49)
Introduction
92(1)
Linear Programming Problem
92(2)
LP Problems Involving LE (≤) Constraints
94(2)
The Simplex Method
96(4)
Treatment of GE and EQ Constraints
100(5)
The Two-Phase Approach
101(3)
The Big M Method
104(1)
Revised Simplex Method
105(3)
Duality in Linear Programming
108(2)
The Dual Simplex Method
110(3)
Sensitivity Analysis
113(3)
Interior Approach of Dikin
116(3)
Problem Modeling
119(6)
Quadratic Programming and the Linear Complementary Problem (LCP)
125(3)
Conclusion
128(13)
Problems
128(1)
Computer Programs
128(13)
Constrained Minimization
141(81)
Introduction and Problem Formulation
141(3)
Graphical Solution of Two-Variable Problems
144(2)
Necessary Conditions for Optimality
146(11)
Sufficient Conditions for Optimality
157(2)
Convex Problems
159(2)
Sensitivity of Optimum Solution to Problem Parameters
161(2)
Rosen's Gradient Projection Method for Linear Constraints
163(5)
Zoutendijk's Method of Feasible Directions (Nonlinear Constraints)
168(8)
The Generalized Reduced Gradient Method (Nonlinear Constraints)
176(7)
Sequential Quadratic Programming
183(6)
Summary of the Capabilities of Methods for Nonlinear Constrained Problems
189(1)
Solved Examples
189(33)
Problems
195(8)
Computer Programs
203(19)
Penalty Function And Duality Based Methods
222(37)
Introduction
222(1)
Exterior Penalty Functions
222(5)
Interior Penalty Functions
227(2)
Duality
229(6)
The Augmented Lagrangian Method
235(7)
Duality and Geometric Programming
242(17)
Problems
248(3)
Computer Programs
251(8)
Direct Search Methods For Nonlinear Optimization
259(37)
Introduction
259(1)
Cyclic Coordinate Search
259(3)
Hooke and Jeeves Pattern Search Method
262(1)
Rosenbrock's Method
263(2)
Powell's Method of Conjugate Directions
265(1)
Nelder and Mead Simplex Method
266(6)
Simulated Annealing (SA)
272(4)
Genetic Algorithm (GA)
276(3)
Box's Complex Method for Constrained Problems
279(4)
Conclusion
283(13)
Problems
284(2)
Computer Programs
286(10)
Integer And Discrete Programming
296(31)
Introduction
296(2)
Zero-One Programming
298(5)
Branch and Bound Algorithm for Mixed Integers
303(3)
Gomory Cut Method
306(4)
Farkas' Method for Discrete Nonlinear Monotone Structural Problems
310(3)
Genetic Algorithm for Discrete Programming
313(1)
Conclusion
313(14)
Problems
313(3)
Computer Programs
316(11)
Dynamic Programming
327(13)
Introduction
327(2)
General Definition of the Dynamic Programming Problem
329(3)
Problem Modeling and Computer Implementation
332(4)
Discussion and Conclusions
336(4)
Problems
336(1)
Computer Programs
337(3)
Optimization Applications For Transportation, Assignment, And Network Problems
340(33)
Introduction
340(1)
Transportation Problem
340(7)
Assignment Problems
347(4)
Network Problems
351(5)
Conclusion
356(17)
Problems
356(3)
Computer Programs
359(14)
Pareto Optimality
373(12)
Introduction
373(1)
Concept of Pareto Optimality
374(3)
Generation of the Entire Pareto Curve
377(2)
A Single Best Compromise Pareto Solution
379(6)
Problems
382(3)
Finite-Element-Based Optimization
385(44)
Introduction
385(1)
Parameter Optimization Using Gradient Methods-Derivative Calculations
386(9)
Shape Optimization
395(7)
Topology Optimization of Continuum Structures
402(6)
Optimization with Vibration Response
408(4)
Concluding Remarks
412(17)
Problems
415(4)
Computer Programs
419(10)
Index 429

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