A First Course in Bulk Queues

arrival group batch bulk queues bulk service bulk-arrival busy period bution Chapter coefficient consider constant Continuation of Problem customers arrive dA(u defined departure derivation discussed distri epoch exponentially distributed finite function Fx(x geometric distribution given in equation gives Hint idle period imbedded Markov chain independent input integral interarrival interval J. R. Stat Laplace-Stieltjes transform limiting behavior limiting distribution Markov process mean service Miscellaneous Problem Neuts nonpriority customers notation number of customers obtained P+(z Pa(z parameter Poisson distribution Poisson process Problems and Complements process N(t queuing system queuing theory renewal process renewal theory represents the number Riemann-Stieltjes integral roots Rouché's theorem Section server service-time distribution solution stochastic processes supplementary variable system GI/M/1 system M/G/1 Takács technique theorem theory of queues transform unit circle Wa(t waiting-time distribution waiting-time in queue zero λι ΣΡ