Applications of Queueing TheoryFluid approximations; Simple queueing systems; Stochastic models; Equilibrium distributions; Diffusion approximations; Time-dependent queues; Neglected subjects. |
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Fluid approximations | 20 |
Other applications | 28 |
Simple queueing systems | 37 |
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A₁(t analysis apply approximately normal arbitrarily arrival and departure arrival curve arrival process arrival rate average queue behavior binomial distribution boundary conditions channel server cost of delay cumulative arrival cumulative number curve A(t customer types customers arrive customers of type D₁(t departure curve departure process depend described diffusion equation distribution function equilibrium distribution evaluate example exponentially distributed FIFO Figure finite fluctuations fluid approximation geometric distribution graph increases integral interpreted interval L₁ large compared large queue mathematical mean queue non-zero normal distribution number of arrivals number of customers observe obtained optimal parameters partial differential equations Poisson distribution Poisson process probability distribution problems quantity quasi-stationary distribution queue discipline queue distribution queue length queue vanishes queueing systems queueing theory random variables rush hour Section serve service facility service rate situations statistically independent strategy sufficiently large Suppose t₁ t₂ traffic intensity typical units variance zero дх