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- Introduction to queueing systems, Analysis of M/M/1 queues, Jackson Networks, Brownian Motion, Limit Theorems, Fluid Approximation of Single-Station Queues, Fluid Approximation of Jackson Networks, Two-Station Network, Scheduling Fluid Networks, Kendall’s notation
- Little’s theorem., Discrete and continuous time Markov chains, birth-death processes, Poisson process, Markovian waiting systems, finite buffers and finite user populations , method of stages, Pollaczek-Khinchin mean-value formula , systems with priority and interrupted service
- Loss systems, Open and closed queuing networks, Jacksonian networks., single-server queue , Delays, sojourn times, work-load , performance for queues, stationary distributions, Sample pathmethod, “Little’s law” (L = ?w)
- rate conservation law (RCL) and H = ?G, Poisson arrivalssee time averages, Multi-server and tandem queues, queueing networks, Stability, Markovian and non-Markovian models, Light and heavy-traffic, light-tailed and heavy-tailed asymptotics