Applications of Queueing TheoryFluid approximations; Simple queueing systems; Stochastic models; Equilibrium distributions; Diffusion approximations; Time-dependent queues; Neglected subjects. |
Contents
Fluid approximations 22228 | 20 |
Simple queueing systems | 37 |
Stochastic models | 61 |
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A₁(t analysis apply approximately normal arrival curve arrival process arrival rate arrivals and departures average number average queue behavior binomial binomial distribution boundary conditions central limit theorem constant cost of delay cumulative arrival cumulative number curve A(t customer types customers arrive customers of type D₁(t departure curve departure process depend differential equation diffusion equation distribution function equilibrium distribution evaluate example exponentially distributed FIFO Figure finite fluctuations fluid approximation geometric distribution graph increases integral interpretation interval jth customer L₁ mathematical mean queue normal distribution number in service number of arrivals number of customers observe optimal parameters passengers Poisson distribution Poisson process quasi-stationary distribution queue discipline queue distribution queue length queue vanishes queueing systems queueing theory random variables rush hour served service facility service rate situations solution stationary stationary process statistically independent strategy sufficiently large Suppose t₁ traffic intensity type 1 customers typical unit variance zero