Index
A
Absolute minimum, 63
Active constraint, 8, 94
Addition of constraints, 218
Addition of new variables, 214
Additive algorithm, 605
Adjoint equations, 682
Adjoint variable, 682
Admissible variations, 78
All-integer problem, 588
Analytical methods, 253
Answers to selected problems, 795
Ant colony optimization, 3, 693, 714
algorithm, 717
ant searching behavior, 715
basic concept, 714
evaporation, 716
path retracing, 715
pheromone trail, 715
pheromone updating, 715
Applications of geometric programming,
525
Approximate mean, 642
Approximate variance, 642
Arithmetic-geometric inequality, 500
Artificial variables, 139
Augmented Lagrange multiplier method,
459
equality-constrained problems, 459
inequality-constrained problems, 462
mixed equality-inequality-constrained
problems, 463
Augmented Lagrangian function, 460
Availability of computer programs, 786
Average, 635B
Balas algorithm, 604
Balas method, 589, 604
Barrier methods, 433Basic feasible solution, 131, 136
Basic set operations, 724
Basic solution, 130, 136
Basic variables, 136
Basis, 130
Basis vector approach, 743
Beale’s function, 365
Beam-column, 55
Bearing, 531
Behavior constraints, 7
BFGS formula, 353
BFGS method, 360
Bias of random directions, 312
Binary numbers, 607
Binary programming, 624
Binary variables, 607
Bivariate distribution, 639
Boltzmann’s constant, 703
Boltzmann’s probability distribution,
703
Boundary value problem, 549
Bounded objective function method, 764
Bound point, 8
Brachistochrone problem, 671
Bracket function, 443, 696
Branch and bound method, 609
Branching, 610
Brown’s badly scaled function, 365
Broydon-Fletcher-Goldfarb-Shanno
method, 304, 360C
Calculus methods, 3
Calculus of variations, 3, 668
Canonical form, 133
Cantilever beam, 527
Cauchy method, 304, 339
Cauchy’s inequality, 500
Central limit theorem, 647
Chance constrained programming, 647Engineering Optimization: Theory and Practice, Fourth Edition Singiresu S. Rao 803
Copyright © 2009 by John Wiley & Sons, Inc.