Index 809Motivation of simplex method, 138
Multibay cantilever truss, 578
Multilayer feedforward network, 729
Multilevel optimization, 755
Multimodal function, 254
Multiobjective optimization, 761
Multiobjective programming, 3, 9, 33
Multiobjective programming
problem, 9, 33
Multiple objective functions, 9
Multistage decision problem, 544, 548
Multistage decision process, 545
Multivariable optimization, 68
with equality constraints, 75
with inequality constraints, 93
necessary conditions, 69, 81, 94, 98
with no constraints, 68
sufficiency conditions, 70, 83
Multivariate distribution, 639
Mutation, 700
N
Natural boundary conditions, 671
Necessary conditions for optimal control,
679
Negative definite matrix, 71
Network methods, 3
Neural network based methods, 693, 727
Neural networks, 3, 728
Neuron, 728
Newton method, 253, 286, 304, 345
Newton Raphson method, 287
Node, 610
Nonbasic variables, 136
Nonconvex sets, 129
Nondegenerate solution, 131
Nongradient methods, 304
Nonlinear programming, 3, 248, 301, 380
Nonlinear programming problem, 19
Nonpivotal variables, 135
Nontraditional optimization techniques, 3
Normal distribution, 643
Normality condition, 495
Normalization condition, 635
Normalization of constraints, 436
Normalized beta function integrand, 620
Norm of a matrix, 306
Norm of a vector, 305
Number of experiments, 272
Numerical integration, 458O
Objective function, 6, 9
Objective function surfaces, 9
Offspring, 700
One degree of difficulty problem, 515,
526, 532
One dimensional minimization
methods, 248
Operations research, 1, 3
Optimal basic solution, 131
Optimal control problem, 16
Optimal control theory, 668, 678
Optimality criteria, 683
multiple displacement constraints, 684
single displacement constraint, 683
Optimality criteria methods, 668, 683
Optimal layout of a truss, 577
Optimal solution, 131
Optimization, 1
Optimization of fuzzy systems, 722, 725
Optimization problems
classification, 14
statement, 6
Optimization techniques, 3, 35
Optimization toolbox, 36
Optimum machining conditions, 525
Orthogonal directions, 319
Orthogonality conditions, 495
Output state variables, 546
Overachievement, 766P
Parallel processing, 760
Parallel simulated annealing, 761
Parameter optimization problem, 15
Parametric constraint, 456
Parametric programming, 207
Parent, 700
Pareto optimum solution, 763
Particle swarm optimization, 3, 693, 708
computational implementation, 709
inertia term, 710
inertia weight, 711