Engineering Optimization: Theory and Practice, Fourth Edition

Index 805

Cooling fin, 675
Correlation, 640
Correlation coefficient, 640
Correlation matrix, 646
Covariance, 640
Covariance matrix, 648
CPM and PERT, 3
Crane hook, 60
Crisp set theory, 723
Criterion function, 9
Critical points, 750
Crossover, 699
Cubic interpolation method, 253, 280
Cumulative distribution function, 634
Curse of dimensionality, 573
Curve of minimum time of descent, 672
Cutting plane method, 390, 589
algorithm, 387
geometric interpretation, 388
Cyclic process, 331
Cylinders in contact, 297

D

Darcy-Weisbach equation, 663
Darwin’s theory, 694
Davidon-Fletcher-Powell method, 304,
354
DC motor, 53
Decision variables, 6
Decomposition principle, 177, 200
Degenerate solution, 142
Degree of difficulty, 496
Derivatives
of eigenvalues and eigenvectors, 747
of static displacements and stresses, 745
of transient response, 749
Descent direction, 336
Descent methods, 304, 335
Design constraints, 7
Design equations, 547
Design of:
cantilever beam, 527
column, 11
cone clutch, 528
continuous beams, 576
drainage system, 579
four bar mechanism, 535

gear train, 579

helical spring, 529, 659

hydraulic cylinder, 527

lightly loaded bearing, 531

planar truss, 249

two bar truss, 533

Design of experiments, 3

Design point, 7

Design space, 7

Design variable linking, 738

Design variables, 6

Design vector, 6

DFP formula, 352

DFP method, 354

Dichotomous search, 253, 257

Differential calculus methods, 253, 493

Differential off, 68

Direction finding problem, 395

Direct methods, 380, 383

Direct root method, 253, 286

Direct search methods, 309

Direct substitution, 76

Discrete programming problem, 588

Discrete random variable, 634

Discriminate analysis, 3

Drainage system, 579

Dual function, 501

Duality in linear programming, 192

Duality theorems, 195

Dual problem, 192, 509

Dual simplex method, 195

Dynamic optimization problem, 16

Dynamic programming, 3, 544

applications, 576

calculus method of solution, 555

computational procedure, 553

continuous, 573

conversion of final to initial value

problem, 566

problem of dimensionality, 572

recurrence relation, 551

tabular method of solution, 560

E

Electrical bridge network, 52

Elementary operations, 133

Elimination methods, 253, 254