Engineering Optimization: Theory and Practice, Fourth Edition

Convex and Concave Functions 783 (d)f= 4 x 12 + 3 x 22 + 5 x 32 + 6 x 1 x 2 +x 1 x 3 − 3 x 1 − 2 x 2 + 5: 1 H(X)=     ∂^2 f/ ...

B Some Computational Aspects of Optimization Several methods were presented for solving different types of optimization problems ...

B.3 Comparison of Constrained Methods 785 A comparison of several variable metric algorithms was made by Shanno and Phua [B.4]. ...

786 Some Computational Aspects of Optimization formulated test problems that are not related to real-life problems. Thus each ne ...

B.5 Scaling of Design Variables and Constraints 787 Table B.1 Summary of Some Structural Optimization Packages Software system S ...

788 Some Computational Aspects of Optimization xmaxi ) ,i= 1 , 2 ,... , n. The values of these bounds are not critical and there ...

References and Bibliography 789 Ant Colony Optimization. An m-file to implement the ant colony optimization method in the Matlab ...

790 Some Computational Aspects of Optimization B.13 J. L. Kuester and J. H. Mize,Optimization Techniques with Fortran, McGraw-Hi ...

C Introduction to MATLAB MATLAB, derived from MATrix LABoratory, is a software package that was originally developed in the lat ...

792 Introduction to MATLAB C.2 Defining Matrices in MATLAB Before performing arithmetic operations or using them in developing ...

C.4 Optimization Toolbox 793 (ii) To generate all numbers between 0 andπin increments ofπ/ 6 > >0 :pi/6 :pi This command g ...

794 Introduction to MATLAB Distinction between linear and nonlinear constraints. Identification of lower and upper bounds on d ...

Answers to Selected Problems CHAPTER 1 1.1Min.f= 5 xA− 08 xB+ 601 xC+ 51 xD, 0. 05 xA+ 0. 05 xB+ 0. 1 xC+ 0. 15 xD≤ 0001 , 0. 1 ...

796 Answers to Selected Problems 2.13positive semidefinite 2.15positive definite 2.17negative definite 2.19indefinite 2.21x∗ 1 = ...

Answers to Selected Problems 797 3.55xA∗= 1. 5 ,xB∗= 0 3 .57x∗m= 61 , xd∗= 02 3.60x∗= 63 / 11 , y∗= 53 / 11 3.66all points on th ...

798 Answers to Selected Problems (b) 20 (c) 19 (d) 14 (e) 14 5.17(a)2.7814 (b)2.7183 5.18(a)2.7183 (b)2.7289 (c)2.7183 5.200.25 ...

Answers to Selected Problems 799 (b)φk= 2 x+rk(〈 2 −x〉^2 + 〈 x− 10 〉^2 ) 7 .27x 1 ∗= 0. 989637 , x∗ 2 = 1. 979274 7.29^14 x 12 + ...

800 Answers to Selected Problems 9.10x∗ 1 = 7. 5 , x∗ 2 = 01. 0 9.11x 1 ∗= 06 , x∗ 2 = 07 , x 3 ∗= 08 9.13x∗ 1 = 5 , x 2 ∗= 0 ,x ...

Answers to Selected Problems 801 CHAPTER 13 13.1Before:X 1 = { 17 13 } ,X 2 = { 15 22 } ;After:X 1 = { 23 22 } , X 2 = { 9 13 } ...

Index A Absolute minimum, 63 Active constraint, 8, 94 Addition of constraints, 218 Addition of new variables, 214 Additive algor ...