804 Index
Change in constraint coefficients, 215
Change in cost coefficients, 212
Change in right hand side constants, 208
Characteristics of constrained
problem, 380
Choice of method, 784
Circular annular plate, 690
Classical optimization techniques, 63
Classification:
of optimization problems, 14
of unconstrained minimization
methods, 304
Classification of optimization problems
based on:
deterministic nature of variables, 29
existence of constraints, 14
nature of design variables, 15
nature of equations involved, 19
number of objective functions, 32
permissible values of design
variables, 28
physical structure of the problem, 16
separability of the functions, 30
Closed half space, 128
Cluster analysis, 3
Coefficient of variation, 636
Collapse mechanism, 121
Comparison:
of constrained methods, 785
of elimination methods, 272
of methods, 294
of unconstrained methods, 784
Complementary geometric
programming, 520
degree of difficulty, 523
solution procedure, 522
Complement of a fuzzy set, 724
Complex method, 384
Composite constraint surface, 8
Computational aspects of optimization,
784
Computer programs, availability of,
786, 788
Computer program for:
ant colony optimization, 789
fuzzy logic toolbox, 788genetic algorithm and direct search
toolbox, 788
modern optimization methods, 788
multiobjective optimization, 789
neural network toolbox, 788
particle swarm optimization, 788
simulated annealing algorithm, 788
Concave function, 779
Concept of cutting plane, 591
Concept of suboptimization, 549
Concrete beam, 29
Condition number of a matrix, 306
Cone clutch, 49, 528
Conjugate directions, 319
Conjugate gradient method, 341, 355, 361
Consistency condition, 220
Constrained minimization (GMP), 508
Constrained optimization problem, 6, 380
characteristics, 380
Constrained optimization techniques, 380
Constrained variation, 77, 79
Constraint qualification, 98
Constraint surface, 8
Contact stress between cylinders, 297
Contact stress between spheres, 250
Continuous beams, 576
Continuous dynamic programming, 573
Continuous feasible solution, 609
Continuous random variable, 634
Contours of objective function, 10
Contraction, 332
Contraction coefficient, 332
Control variables, 16
Control vector, 678
Convergence of constrained problems, 464
Convergence of orderp, 305
Conversion of final to initial value
problem, 566
Conversion of nonserial to serial
system, 548
Convex:
function, 779
polygon, 127
polyhedron, 127, 129
polytope, 129
programming problem, 98, 104, 442
set, 129