## Advances in Queueing Theory: Selected Papers Presented at the First Madrid Conference on Queueing Theory, Volume 113 |

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agents analysis applications arrival process arrival rate assume assumption 2.2 asymptotic balking batch busy period call center closed-form expressions cluster balance Computer consider continuous-time Markov process define delay denote diffusion approximation diffusion model Editors equations equilibrium Erlang Erlangian example exponentially distributed finite clusters function gamma distribution geometric tail given heavy traffic heavy-traffic hence independent input Laplace-Stieltjes transform lemma load M/G/l queue Markov chain Markov process Markovian Markovian Arrival Process matrix method node number of customers number of jobs obtain Operations Research optimal orbit ordinary customers paper parameters performance phase Poisson process polling models polling systems preliminary service primary service priority probability vector processor sharing Proof queueing models queueing network Queueing Systems Queueing Theory random variables routing satisfied service rate service requirement distribution shortest remaining single server station balance steady-state distribution Stochastic strategy tail equivalence theorem tion waiting-time distribution