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analysis arrival process arrival rate arriving customer balance equations birth-death process busy period c_rect class 2 customer coefficient continuous-time Markov chain customer arrives customers left data-link defined definition denote the number departing customer Determine discussion distributed with parameter eigenvalues entity ergodic example exceptional first service Exercise expected length exponentially distributed finite geometric distribution given idle period interarrival Laplace-Stieltjes transform layer Little's result M/G/l queueing system Markov chain matrix geometric memoryless Neuts node nonnegative null values null vector number of arrivals number of customers number of type obtain occupancy distribution one-step transition probability phase process Poisson arrivals Poisson process probability generating function probability vector queueing theory random variables renewal theory sequence server service rate service-time distribution sojourn solution solve specify statistical multiplexing stochastic equilibrium sub-busy period survivor function tagged customer techniques Theorem tion tomers traffic transmission type 1 customers users waiting z-period zero