Probability Models in Operations Research (Hardcover)

Probability Modeling Fundamentals Random Experiments and Events Probability Conditional Probability Homework Problems Application: Basic Reliability Theory Analysis of Random Variables Introduction to Random Variables Discrete Random Variables Continuous Random Variables Expectation Generating Functions Common Applications of Random Variables Homework Problems Application: Basic Warranty Modeling Analysis of Multiple Random Variables Two Random Variables Common Applications of Multiple Random Variables Computing Expectations by Conditioning Computing Probabilities by Conditioning Homework Problems Application: Bivariate Warranty Modeling Introduction to Stochastic Processes Introduction to Stochastic Processes Introduction to Counting Processes Introduction to Renewal Processes Bernoulli Processes Homework Problems Application: Acceptance Sampling Poisson Processes Introduction to Poisson Processes Interarrival Times Arrival Times Decomposition and Superposition of Poisson Processes Competing Poisson Processes Nonhomogeneous Poisson Processes Homework Problems Application: Repairable Equipment Discrete-Time Markov Chains Introduction Manipulating the Transition Probability Matrix Classification of States Limiting Behavior Absorbing States Homework Problems Application: Inventory Management Continuous-Time Markov Chains Introduction Birth and Death Processes Limiting Probabilities Time-Dependent Behavior Semi-Markov Processes Homework Problems Markovian Queuing Systems Queuing Basics The M/M/1 Queue The M/M/1/c Queue The M/M/s The M/M/s/c Queue The M/G/1 Queue Networks of Queues Homework Problems Bibliography