Interactive Operations Research with Maple Book

	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