A First Course in Bulk Queues

applications arrival group assumed batch bulk service bulk-arrival busy period called Chapter completely condition Consequently consider constant continuous corresponding customers arrive defined denoted departure derivation determined discrete discussed distribution easily epoch equation example exists expected exponential expression finite function further given gives hence idle independent initial input instant integral interarrival interesting interval length limiting limiting distribution Markov chain mean method models normalizing notation Note number of customers obtained occur Oper parameter particular period phases Poisson process priority probability Problem Problems and Complements prove queue queuing system random reader referred relation renewal represents respectively roots served server simple single solution stochastic Suppose taking technique theorem theory transform unit circle values variable virtual waiting waiting-time write zero