Queueing Analysis: Finite systemsNorth-Holland, 1991 - Queuing theory |
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Common terms and phrases
A(V_ A(X_ arbitrary message arriving message B₂ blocking probability busy period process busy period started carried load dB(x defined denote elapsed service exhaustive service FCFS system following set G-limited idle period joint distribution Joint probability k messages Laplace transform LCFS limited service system LST W(s M/G/1/K system Markov chain mean length mean number mean waiting messages arrive messages served messages that arrive msisk multiple vacation model number of messages obtain P₁ Pk(x Po(t Prob Prob[A(V_ Prob[L pushout queue size distribution remaining service remaining vacation semi-Markov process server is busy server vacations service completion service facility service period set of equations setup single vacation model steady-state Substituting successive Markov points system is given throughput time-dependent process Κλ λ λ λ Σ λη λχ πλ Πο Πρ Σ ακ Σ π Σ Σ Σπ