Author | Parlar, Mahmut. author |
---|---|
Title | Interactive Operations Research with Maple [electronic resource] : Methods and Models / by Mahmut Parlar |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1356-7 |
Descript | XV, 468 p. online resource |
1 Introduction to Operations Research -- 1.1 A Brief History -- 1.2 The Method of OR -- 1.3 About This Book -- 2 A Quick Tour of Maple -- 2.1 Introduction -- 2.2 Symbolics -- 2.3 Numerics -- 2.4 Graphics -- 2.5 Other Useful Commands and Packages -- 2.6 Summary -- 2.7 Exercises -- 3 Maple and Mathematical Foundations of Operations Research -- 3.1 Introduction -- 3.2 Algebra -- 3.3 Calculus -- 3.4 Linear Algebra -- 3.5 Differential Equations -- 3.6 Transform Methods -- 3.7 Probability -- 3.8 Summary -- 3.9 Exercises -- 4 Linear Programming -- 4.1 Introduction -- 4.2 Graphical Solution -- 4.3 The Simplex Method -- 4.4 Special Cases and Difficulties -- 4.5 Other Examples -- 4.6 Sensitivity Analysis and Duality -- 4.7 Integer Linear Programming -- 4.8 Summary -- 4.9 Exercises -- 5 Nonlinear Programming -- 5.1 Introduction -- 5.2 Convexity of Sets and Functions -- 5.3 Unconstrained Optimization -- 5.4 Inequality and Equality Constrained Optimization -- 5.5 Lagrangian Duality -- 5.6 Summary -- 5.7 Exercises -- 6 Dynamic Programming -- 6.1 Introduction -- 6.2 Stagecoach Problem -- 6.3 Models with a Linear System and Quadratic Cost -- 6.4 Continuous-Time Dynamic Programming -- 6.5 A Constrained Work Force Planning Model -- 6.6 A Gambling Model with Myopic Optimal Policy -- 6.7 Optimal Stopping Problems -- 6.8 Summary -- 6.9 Exercises -- 7 Stochastic Processes -- 7.1 Introduction -- 7.2 Exponential Distribution and Poisson Process -- 7.3 Renewal Theory -- 7.4 Discrete-Time Markov Chains -- 7.5 Continuous-Time Markov Chains -- 7.6 Summary -- 7.7 Exercises -- 8 Inventory Models -- 8.1 Introduction -- 8.2 Classification of Inventory Models -- 8.3 Costs Associated with Inventory Models -- 8.4 Deterministic Inventory Models -- 8.5 Probabilistic Inventory Models -- 8.6 Summary -- 8.7 Exercises -- 9 Queueing Systems -- 9.1 Introduction -- 9.2 Markovian Queueing Systems -- 9.3 Transient Solutions -- 9.4 Queueing Networks -- 9.5 Optimization of Queueing Systems -- 9.6 Summary -- 9.7 Exercises -- 10 Simulation -- 10.1 Introduction -- 10.2 Generating (Pseudo-) Random Numbers -- 10.3 Generating Random Variates from Other Distributions -- 10.4 Monte Carlo Simulation -- 10.5 Dynamic Simulation Models -- 10.6 Optimization by Random Search -- 10.7 Summary -- 10.8 Exercises -- References