Stochastic Models in Queueing Theory
Elsevier, 6 nov 2002 - 450 páginas
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.
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Appl approximation arrival process Assume average number batch busy period channel Chapman-Kolmogorov equations condition Consider Denote equations Erlang expected number exponential distribution finite function given heavy-tail distributions idle period independent instant interarrival interval Jackson network L'Hôpital's rule Little's Law M/G/1 queue Markov chain Markovian matrix mean waiting Medhi N-policy node Note number of arrivals number of busy number of customers number of units number served obtained Opns parameter pn(t po(t Poisson arrivals Poisson process Pollaczek-Khinchin formula Prob problems queue length queueing models queueing networks queueing system Queueing Theory random variables renewal process result semi-Markov process server server busy service completion service facility service-time distribution Show single-server solution steady-state distribution steady-state probabilities stochastic process test unit Theorem Tijms traffic transient transition vacation waiting-time distribution Whitt