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This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts.* Current, clear and comprehensive coverage* A wealth of interesting and relevant examples and exercises to reinforce concepts* Reference lists provided after each c

Queuing theory. --- Stochastic processes. --- Random processes --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Probabilities --- Production scheduling --- Stochastic processes

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The book aims to highlight the fundamental concepts of queueing systems. It starts with the mathematical modeling of the arrival process (input) of customers to the system. It is shown that the arrival process can be described mathematically either by the number of arrival customers in a fixed time interval, or by the interarrival time between two consecutive arrivals. In the analysis of queueing systems, the book emphasizes the importance of exponential service time of customers. With this assumption of exponential service time, the analysis can be simplified by using the birth and death proc

Computer network protocols --- Mathematical models. --- Queuing theory. --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Production scheduling --- Stochastic processes --- Models, Mathematical --- Simulation methods --- Standards.

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Operational research. Game theory --- Queueing theory --- Tables --- Graphic methods --- 519.872 --- Queuing theory --- -Queuing theory --- -Erlang traffic formula --- Theory of queues --- Waiting-line theory --- Production scheduling --- Stochastic processes --- Queuing theory. Service systems. Numerical simulation --- -Queuing theory. Service systems. Numerical simulation --- 519.872 Queuing theory. Service systems. Numerical simulation --- -519.872 Queuing theory. Service systems. Numerical simulation --- Erlang traffic formula --- Tables. --- Graphic methods.

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Stochastic processes --- Operational research. Game theory --- Equilibrium (Economics) --- Queueing Theory --- Queuing theory --- 519.2 --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Production scheduling --- Probability. Mathematical statistics --- Queuing theory. --- 519.2 Probability. Mathematical statistics

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Mathematical theories of traffic flow

Probabilities. --- Queuing theory. --- Traffic surveys. --- Business & Economics --- Transportation Economics --- Probability --- Statistical inference --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Traffic census --- Traffic statistics --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Production scheduling --- Stochastic processes --- Surveys