Introduction to Queueing Theory |
Contents
Scope and Nature of Queueing Theory | 1 |
1 | 123 |
Queues in Tandem | 129 |
Copyright | |
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analysis application Applied Probability arbitrary customer arrival epoch arrival rate arriving customer assume Bell System Bell System Technical birth-and-death process blocked customers busy period calculate Chapter consider customers arrive customers present customers waiting defined example Exercise exponential service exponentially distributed finite follows formula given Hence idle independent interarrival interval iteration j₁ Laplace-Stieltjes transform length M/G/1 queue Markov chain Markov property mathematical mean number mean service method N-policy number of customers Observe obtain offered load Operations Research optimal order of arrival overflow group P₁ phases points Poisson input Poisson process primary group probability-generating function quasirandom queue discipline queueing models Queueing Systems queueing theory random variable renewal Riemann-Stieltjes integral right-hand side servers busy service completion service-time distribution function simulation solution stationary policy statistical-equilibrium Stochastic Processes stream System Technical Journal Takács test customer theorem tion traffic variance waiting customers waiting positions Wiley and Sons York