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Part I: Mathematical Programming.Mathematical Programming.Linear Programming: Standard Form.Linear Programming: Theory of Solutions.Linear Programming: The Simplex Method.Linear Programming: Duality.Integer Programming: Branch-and-Bound Algorithm.Integer Programming: Cut Algorithms.Integer Programming: The Transportation Algorithm.Integer Programming: Scheduling Models.Nonlinear Programming: Single-Variable Optimization.Nonlinear Programming: Multivariable Optimization without Constraints.Nonlinear Programming: Multivariable Optimization with Constraints.Quadratic Programming.Deterministic Dynamic Programming.Network Analysis.Part II: Probabilistic Methods.Game Theory.Decision Theory.Stochastic Dynamic Programming.Finite Markov Chains.Unbounded Horizons.Markovian Birth-Death Processes.Queueing Systems.M/M/1 Systems.Other Systems with Poisson-Type Input and Exponential-Type Service Times.Answers to Supplementary Problems.