Approximate Stochastic Behavior of N-server Service Systems with Large N |
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Approximate Stochastic Behavior of n-Server Service Systems with Large n G. F. Newell Limited preview - 2012 |
Common terms and phrases
A_(t accurate analysis approximately normal arrival process arrival rate available servers batches become behavior Chapter compared with E{S conditional distribution Cumulative numbers customer arrivals customers or servers D¹(k decreases described distribution of N(t duration enter service equation equilibrium distribution estimate evaluated expected number exponential distribution fluctuations formulas geometric distribution graph graphical idle servers increase large compared least M/M/n system Markov process mean service methods N(t₁ nearly negative normal approximation normal distribution number of arrivals number of customers number of servers order E{S parameter Poisson distribution Poisson process probability density problem properties qualitative queue of customers queueing starts queueing theory random service range realizations of N(t rush hour scale second term second transition Section Seiten service completions slowly varying small compared smooth standard deviation statistically independent stochastic correction stochastic effects stochastic queueing tion traffic intensity types value of E{N(t Var N(t Var{N(t variance