Fundamentals of Queueing TheoryThoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research. |
Contents
SINGLECHANNEL EXPONENTIAL QUEUEING MODELS | 38 |
SIMPLE MARKOVIAN BIRTHDEATH QUEUEING MODELS | 90 |
3 | 102 |
Copyright | |
17 other sections not shown
Other editions - View all
Common terms and phrases
analysis assumed average number average waiting balking birth-death block boundary condition busy period C₁ calculate channels clerks coefficients consider cost customers arrive denote derive determine difference equations differential equation ergodic Erlang type estimate example expected number exponential distribution finite given Hence idle independent integral interarrival interval Laplace transform Laplace-Stieltjes transform linear Little's formula machine Markov chain Markovian mean arrival rate mean service rate measures of effectiveness number of arrivals number of customers observations obtain operating optimal output P₁ parameters phases Poisson distribution Poisson input Poisson process Pr{n priority probability distribution probability generating function Problem procedure queue discipline queueing model queueing system queueing theory random number random variable root Section server service-time SIMSCRIPT simulation station stationary statistical steady-state probabilities stochastic process Table theorem tion unit variance W₁ yields zero λι