Discrete Event Simulation

BASIC CONCEPTS AND TERMINOLOGY. Concept of a System. System Methodology. Advantages and Disadvantages of Simulation. Simulation Terminology. PROBABILITY CONCEPTS IN SIMULATION. Probability. Set Theory, Compound Events. Conditional Probability, Independent Events. Discrete Distributions. Continuous Distributions. RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS. Functions of a Random Variable. Moments. Generating Functions. Multivariate Distributions. DETAILED ANALYSIS OF COMMON PROBABILITY DISTRIBUTIONS. Bernoulli Distribution. Binomial Distribution. Geometric Distribution. Poisson Distribution. Uniform Distribution. Normal Distribution. Exponential Distribution. Chi-Square Distribution. Student's t-Distribution. F-Distribution. STATISTICS AND RANDOM SAMPLES. Descriptive Statistics and Frequency Diagrams. Statistics and Sampling Distributions. Method of Least Squares. Estimation. Confidence Interval Estimates. STATISTICAL TESTS. Tests of Hypotheses. Student's t-Test. The F-Test. The Chi-Square Goodness-of-Fit Test. The Kolmogorov-Smirnov Test. GENERATION OF RANDOM NUMBERS. Pseudorandom Numbers. Algorithms for Generating Pseudorandom Numbers. Testing and Validating Pseudorandom Sequences. Generation of Nonuniform Variates. DISCRETE SYSTEM SIMULATION. Simulation Terminology. Time Management Methods. Object Generation. Queue Management and List Processing. Collecting and Recording Simulation Data. MODEL VALIDATION. Evaluation of the Simulation Model. Validation Description. Sampling Methods. THE DESIGN OF SIMULATION EXPERIMENTS. Completely Randomized Design. Randomized Complete Block Design. Factorial Design. Network Simulation Model Performance Analysis. ESTIMATION OF MODEL PARAMETERS. Optimization of Response Surfaces. Heuristic Search. Complete Enumeration. Random Search. Steepest Ascent (Descent). Coordinate or Single-Variable Search. Parallel Tangent Search. Conjugate Direction Search. OUTPUT ANALYSIS. Analysis of Simulation Results. Estimation and Confidence Limits