806 Index
Elimination methods–comparison,
271
Engineering applications of
optimization, 5
Engineering optimization literature, 35
Equality constraints, 6
Euler equation, 671
Euler-Lagrange equation, 671
Evaluation of gradient, 337
Event, 633
Exhaustive search, 253, 256
Expansion, 331
Expansion coefficient, 332
Expected value, 635
Experiment, 633
Extended interior penalty function, 451
Exterior penalty function method,
443, 455
algorithm, 445
convergence proof, 447
mixed equality-inequality
constraints, 455
parametric constraints, 459
Extrapolation of design vector, 448
Extrapolation of objective function,
450
Extrapolation technique, 447
Extreme point, 130F
Factor analysis, 3
Failure mechanisms of portal frame, 246
Fast reanalysis techniques, 740
Fathomed, 610
Feasible direction, 95, 393
Feasible direction methods, 393, 394
Feasible solution, 130
Feasible space, 8
Fibonacci method, 253, 263
Fibonacci numbers, 263
Final interval of uncertainty, 263, 272
Final value problem, 548
First level problem, 757
First order methods, 305
Fitness, 696
Fletcher and Powell’s helical valley
function, 364Fletcher-Reeves method, 304, 341
algorithm, 343
Floor design, 542
Flow chart:
for augmented Lagrange multiplier
method, 461
for cubic interpolation method, 284
for Fibonacci search method, 266
for linear extended penalty function
method, 453
for parallel simulated annealing, 762
for Powell’s method, 325
for simplex algorithm, 143
for simplex method, 153
for simulated annealing, 706
for two-phase simplex method, 153
Flywheel design, 482
Forced boundary conditions, 671
Four bar mechanism, 535
Four bar truss, 60, 557
Free boundary conditions, 671
Free point, 8
Freudenstein and Roth function, 364
Functional, 669
Functional constraints, 7
Function of a random variable, 638
Function of several random variables, 640
mean, 641
variance, 641
Fuzzy decision, 726
Fuzzy feasible region, 822
Fuzzy optimization, 3, 693, 722
computational procedure, 726
fuzzy set theory, 722
Fuzzy systems, 722, 725G
Game theory, 3
Gaussian distribution, 643
Gear train, 579
General iterative scheme of
optimization, 305
Generalized penalty function method, 619
Generalized reduced gradient, 415
Generalized reduced gradient method, 412
algorithm, 416
General primal dual relations, 193