Index
Absorbing state 90 , 93
Academic activities 132
Acquaintances 31
Adaptive behavior 145
Advertising 40
model 69
Afferent 125
Airplanes 38 , 73 , 84
Algebraic equations 37
Algorithm 10
Analysis, exhaustive 20
A posteriori 85
Applications 101
behavioral 131
cellular 121
genetic 121
probability of 81
social 131
Approximation 7
A priori 85 , 108 , 140
bounds 7
Architectural design 170
Arms races 139
model of 142
Arteries 54
Astromony 103
Athlete's problem 117
Attitude change 145
Availability 97
Bacterial growth 96
Bargaining 140
Bayes’ Theorem 85
Behavioral applications 102 , 131
Bernoulli trials 88
Best Velocity in a Race 116
Big-bang 104
Biological
applications 102
engineering 106
Bionic limb 129
Birth and death process 92
Blood
circulation 106
flow 108
group 122
Blotto game 142
Boltzmann's constant 121
Boundary conditions 39
Box-office 22
Brainstorming 3
Branching process 96
Bremermann limit 24
Brownian motion 95
Buffalos 28
Calculus of variations 66
Cannibals 31
Car following 45
Cascading cups 43
Caterer problem 61
Cellular application 121
Chemical
equilibruim 63
processes 105
Chess 20 , 32
Chromosomes 123
Circuits 81
Cities 134
Coefficients
expense 143
reaction 143
grievance 143
Coin matching 72
Colored cubes 25
Commodity production 63
Communication 10 , 133
Comparisons, paired 148
Computer 20
program 146
Conflict 8
problem 156
resolution 12 , 139
Conflicting populations 47
Consistency 149 , 150
Constraints 35
Control 14 , 28 , 68
variable 50
Convergence 7
Counting 16 , 17 , 22
Courses 85
Courts 131 , 146
Craps 81
Creativity 3
Crime 131
Cybernetics 24
d'Alembert principle 111
Data 4 , 10
processing 24
Decision 148
job 155
maker 161
Decomposition 25
Delay-differential equations 44
Demand analysis 135
Desalinated water 137
Deterministic problem 4
Diameter of Universe 21
Diet problem 60
Difference equations 42
Differential
difference delay equations 45
difference equations 43
equations 39
Diffusion 106 , 133
Dimensional analysis 28
Diophantine equations 6 , 38
Discovery rate of oil 165
Distribution 79
asymptotic 145
stable 145
Docket 131
Doppler effect 104
Drunkard 86
Dynamic Programming 64
Economic
growth 161
models 135
Effects 85
Efferent 125
Eigenvalue 150
Eigenvector 151 , 156
normalized 161
Einstein's equation 24
Electricity 55
Ellipses 129
Emigration 134
Endocrine system 106
Environmental quality 161
Enzyme 119
Epidemics 93
Equations 6 , 10 , 37 , 53
algebraic 37
delay differential 44
difference 42
differential 39
differential difference 43
differential difference delay 45
diophantine 38
functional 50
integral 46
integro-difference 46
integro-differential 46
linear homogeneous 150
partial differential 41
Richardson's 68
stochastic differential 48
Equilibrium 7 , 8 , 9 , 107 , 121 , 125 , 128 , 137 , 143
chemical 63
dynamic 8
static 8
Error 7
Estimation 16 , 20 , 22
Euler's equation 53
Events 80
Evolution 127
Existence 7
theorems 81
Exponential distribution 94 , 95
Extinction probability 96
Exxon Corporation 169
Fair division 30
Family tree 18
Farm population 134
Fish acquarium 43
Fixed point 9
Foods 138
selection of 56
Formulating problem 4
Forward-backward processes 156
Fourier transform 110
Friends meeting 84
Fuels, synthetic 169
Galaxy 21
Game theory 72 , 141 , 142
Gaussian process 95
Genes 121
Genetics 102
applications 121
linkage 123
Geology 105
Geometry 25
GNP 160
Graph theory 6
Group
effect on problem solving 146
theory 6
Growth theory 136
Guidelines, problem solving 4 , 5
Guns 72
Haldane's formula 124
Hardy- Weinberg law 121
Harrod-Domar theory 136
Heisenberg's uncertainty
principle 24
Heterozygous 122
Hierarchies 148 , 153 , 157
Homozygous 122
Hubble's law 21 , 104
Humanization 12
Hypotheses 4
Imagination 3
Independent increments 80
Index set 80
Induction 30
Industries 160
Inequalities 6 , 10 , 53
Information
processing 23
theory 21 , 23 , 51
Input-Output 162
Instant Insanity 25
Insurance company 175
Integer programming 64
Integral equations 46
Integro-
difference equation 46
differential equation 46
Invariant property 9 , 17
Inventory 17 , 81
Investment 69
Jeep problem 58
Job decisions 155
Judgment 149
Justice 131
Kinetics 127
Lagrange multiplier 56 , 70 , 135
Lanchester's model 40
Laplace transform 123
Learning 144
Linear model of behavior 144
Linear programming 59 , 137
stochastic 71
Location problem 55
Lung 107
Mailman 38
Management science 102
Markov
chains 89 , 105
process 80 , 88 , 89
Marriage 27
Martingales 80
Mathematical induction 30
Mathematics
continuum 6
discrete 6
Matrix 150
Maximum 18 , 35
revenue 62
value 24
Measure 80
Measures of effectiveness 3
Medical applications 109
Medicine 102
Meteorology 102
Minimum 35
unconstrained 54
Missionaries 31
Model 3 , 6
adaptive behavior 145
advertising 69
analytical 10
arms race 142
attitude change 145
buying and selling 65
diffusion 133
economic 135
ellipses 129
justice 131
linear behavior 144
lung 107
nervous system 125
renewal 22
Richardson's 146
saving and investment 69
Modeling 9
Monochromatic triangle 31
Motivation 145
Multilevel city 57
Multistage optimization 64
Muscular
control 110
movement 111
National security 161
Natural sciences 103
Negotiation 140
Neuron 21 , 125
Nervous system 125
Newspaper boy 70
News transmission 133
Nonlinear programming 62
Normal process 95
Normative 35
approach 156
Objective function 53
Oil
consumption 168
discovery 168
prices 163
Operator 144
Opinions 145
Optimal
allocation 163
control 68
gaits 112
performance 12
step-size 116
Optimality principle 65
Optimization 4 , 7 , 35 , 53 , 160
multistage 64
stochastic 70
Outcomes 80
Oxygen 106 , 116
Pacemaker 106
Paired comparisons 148
Pan-American terminal 22
Parameters 10
Partial differential equations 41
Passengers 22
Path 19
Pay-off matrix 73
Pendulum 29
Physical
applications 103
chemistry 127
Pirates 52
Planck's constant 24
Planning 14 , 156
Point processes 87
Poisson process 87
Political problems 8 , 9
Pollaczek-Khintchine Queue 93
Pollution 133 , 146
Population 129 , 133
growth of 45
Portfolio 175
selection 63
Power 29
measurement 140
Predator-prey 128
Prediction 11 , 14
Prescriptive 35
Principal
eigenvector 151
optimality of 65
Priorities 12 , 148
Probabilistic 4
Probability 4 , 7 , 35 , 79
stationary 91
Problem
caterer 61
colored cube 25
constrained 56
diet 60
location 55
scientific 11
search 67
solving of 7
effect of group 146
traveling salesman 19
variational 67
Production scheduling 67
Programming
dynamic 64
integers 64
linear 59
nonlinear 62
Protein synthesis 124
Publisher 70
Pulsating universe 104
Purpose 148
Quantitative models 6
Quantum mechanics 23
Queue 4 , 46
Queueing theory 81
Race 116
Rain 57
Random 83
coefficients 50
consistency 151
forcing functions 49
initial conditions 48
variables 79 , 80
walk 86
Rationing energy 160
Red shift 103
Reductionist method 148
Reflecting state 93
Relative importance 154
Reliability 64
theory 81
Renewal 46
theory 81 , 123
Repressor molecule 124
Revenue maximization 62
Reynolds number 108
Ribosome 124
Richardson's
equations 68
model 142 , 146
River pollution 134
Running a race 116
Sample space 80
Saving and investment 69
Scenarios 157
Scheduling production 67
Science 11
physical 12
theory 8
Search problem 67
Semi-Markov process 89
Set theory 6
Shapley value 140
Ship size 30
Sigma-field 80
Social
applications 102 , 131
biology 128
Solution 4 , 10
how 5
impact 5
invariant 17
Solving 7 , 13
Spanning tree 150
Stability 7 , 139
marriage 27
table 26
Stable
behavior 8
equilibrium 143
Starvation 129
Stationary
probability 91
processes 80
Statistics 20
Steady state 104
Stefan-Boltzmann formula 105
Stochastic
application of process 86
differential equations 48
integral 49
linear programming 71
operator 144
optimization 70 , 81
processes 7 , 35 , 79
Strategy 20
Structures
algebraic 17
geometric 17
Structuring 13 , 16 , 25
Submarine duels 140
Subway problem 83
Sudan 157
Supermarket 4
Switches 81
Synapses 125
Synthetic fuels 169
System
cost of 64
parallel components 64
Systems
approach 148
theory 102
Theory of optimal control 68
Thorax 107
Trajectory 23
Transition 87
Transport system 157
Travelling salesman 19
Uniqueness 7 , 150
Universe 21
University campus 132
Unstable equilibrium 143
Urn 86
Vacuum tube 96
Variable 58
Variables 10
state 65
Variational problem 67
Volterra system 47
Walking 112
in the rain 57
Weight control 118
Wiener process 96
Wind power 29
World influence 152
X-rays 88 , 103 , 109