Probability Models in Operations Research C. Richard Cassady, Joel A. Nachlas Industrial engineering has expanded from its origins in manufacturing to transportation, health care, logistics, services, and more. A common denominator among all these industries, one of the biggest challenges facing decision-makers, is the unpredictability of systems. Probability Models on Operations Research provides a comprehensive overview of the probabilistic and stochastic modleing approaches commonly used to capture the randomness in industrial and systems engineering. Balancing applications with mathematical rigor, the authors emphasize applications of modeling concepts including reliability analysis, warranties, quality control, and inventory management. Features: • Addresses probability modeling concepts, including probability distributions and conditioning • Explores issues related to single and multiple random variables • Covers the use of stochastic processes to model the time evolution of a random variable • Includes Poisson processes, discrete-time Markov chains, and continuous-time Markov chains • Presents queueing models that can be applied to waiting lines, manufactured parts in an assembly process, and calls in telephone network. The authors' clear explanations make the mathematical concepts accessible and provide a concise review of the key components of probability theory. The book offers graphical illustrations, numerous equations, and comprehensive coverage by utilizing all basic model forms. It is a practical reference and uncomplicated introduction on how to use probability to model system behaviors.