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Book Categories |
Preface | ||
1 | Introduction to Operations Research | 1 |
2 | The Quick Tour of Maple | 5 |
Symbolics | 6 | |
Numerics | 15 | |
Graphics | 19 | |
Other Useful Commands and Packages | 27 | |
3 | Maple and Mathematical Foundations of Operations Research | 37 |
Algebra | 38 | |
Calculus | 44 | |
Linear Algebra | 55 | |
Differential Equations | 68 | |
Transform Methods | 81 | |
Probability | 88 | |
4 | Linear Programming | 99 |
Graphical Solution | 100 | |
The Simplex Method | 104 | |
Special Cases and Difficulties | 118 | |
Other Examples | 120 | |
Sensitivity Analysis and Duality | 130 | |
Integer Linear Programming | 145 | |
5 | Nonlinear Programming | 153 |
Convexity of Sets and Functions | 154 | |
Unconstrained Optimization | 166 | |
Inequality and Equality Constrained Optimization | 170 | |
Lagrangian Duality | 183 | |
6 | Dynamic Programming | 193 |
Stagecoach Problem | 197 | |
Models with a Linear System and Quadratic Cost | 201 | |
Continuous-Time Dynamic Programming | 211 | |
A Constrained Work Force Planning Model | 219 | |
A Gambling Model with Myopic Optimal Policy | 224 | |
Optimal Stopping Problems | 228 | |
7 | Stochastic Processes | 237 |
Exponential Distribution and Poisson Process | 238 | |
Renewal Theory | 256 | |
Discrete-Time Markov Chains | 271 | |
Continuous-Time Markov Chains | 305 | |
8 | Inventory Models | 331 |
Classification of Inventory Models | 332 | |
Costs Associated with Inventory Models | 334 | |
Deterministic Inventory Models | 335 | |
Probabilistic Inventory Models | 349 | |
9 | Queueing Systems | 375 |
Markovian Queueing Systems | 377 | |
Transient Solutions | 389 | |
Queueing Networks | 394 | |
Optimization of Queueing Systems | 401 | |
10 | Simulation | 417 |
Generating (Pseudo-) Random Numbers | 423 | |
Generating Random Variates from Other Distributions | 428 | |
Monte Carlo Simulation | 432 | |
Dynamic Simulation Models | 435 | |
Optimization by Random Search | 441 | |
References | 449 | |
Index | 463 |
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