Nonstationary Markovian queues

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Cites Work

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Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
On the largest negative eigenvalue of the infinitesimal generator associated with M/M/n/n queues
Properties of a system with losses in the case of variable rates
Stability of birth-and-death processes
On strong ergodicity for nonhomogeneous continuous-time Markov chains
\(L^ 2\) convergence of time nonhomogeneous Markov processes. I: Spectral estimates
An analysis of the modified offered-load approximation for the nonstationary Erlang loss model
Diffusion approximation to a queueing system with time-dependent arrival and service rates
Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
Walks on generating sets of Abelian groups
Mixing times for uniformly ergodic Markov chains
The decay function of nonhomogeneous birth-death processes, with application to mean-field models
Logarithmic Sobolev inequalities for finite Markov chains
The asymptotic behavior o queues with time-varying arrival rates
Some Effects of Nonstationarity on Multiserver Markovian Queueing Systems
Asymptotic Analysis of the Time Dependent M/M/1 Queue
Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
On some time-non-homogeneous diffusion approximations to queueing systems
A Closure Approximation for the Nonstationary M/M/s Queue
The transient state probabilities for a queueing model where potential customers are discouraged by queue length
Time-Dependent Queues
Some estimates of the rate of convergence for birth and death processes
Evaluation of the decay parameter for some specialized birth-death processes
The Physics of the Mt/G/∞ Queue
Estimation of spectral gap for Markov chains
On the transient state probabilities for a queueing model where potential customers are discouraged by queue length
Strong Approximations for Time-Dependent Queues
On the estimation of probabilities for birth and death processes
Mt/G/∞ Queues with Sinusoidal Arrival Rates
The Stationary Solution of a Multiserver Queuing Model with Discouragement