## Bulk queues |

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algorithm arrival average number average server utilisation B.R. MADILL Baily and Neuts batch Bulk Queues bulk service bulk-arrival queues calculated Chaudhry and Templeton column Communications Security Establishment continuous-time Markov process convolution COSMETATOS defined denote derived diffusion approximation distribution E[QJ E[RJ ergodicity Erlang distribution functions Gaussian elimination given GIx/G/c GRASSMANN increased interarrival iterations KEILSON KIJIMA Laguerre M/G/l M/M/l Laguerre Transform m-th bulk M.L. CHAUDHRY MADILL and M.L. Markov chain McMaster University Mean Number measures of efficiency Model number of customers number of servers numeric results Numerical Exploration obtained optimal bulk sizes paper parameters performance measures phase type PHX/M/c queue problem queue GIx/G/l queueing model queueing system quorum random variables reduction method Section SELECTA STATISTICA CANADIANA server sharing scheme set-up sharp coefficients solve steady-state probabilities SUMITA Table transition matrix University of Rochester University of Saskatchewan upper bound values WINFRIED work-in-process inventories