On finite capacity queues with time dependent arrival rates

DOI10.1016/j.spa.2013.02.002zbMath1295.60104OpenAlexW1983580768MaRDI QIDQ2444638

Xiaoqian Tan, Yongzhi Yang, Charles Knessl

Publication date: 10 April 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2013.02.002

zbMATH Keywords

asymptoticsfinite capacitytime-dependent queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Cites Work

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• Parameter estimation using partial information with applications to queueing and related models
• A sample path analysis of the \(M_t/M_t/c\) queue
• Uniform acceleration expansions for Markov chains with time-varying rates
• Asymptotic analysis of the \(M/G/1\) queue with a time-dependent arrival rate
• Networks of infinite-server queues with nonstationary Poisson input
• On the Erlang loss model with time dependent input
• Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates
• Approximations of Queue Dynamics and Their Application to Adaptive Routing in Computer Communication Networks
• Statistical inference for queueing models
• Asymptotic Analysis of the Time Dependent M/M/1 Queue
• A Closure Approximation for the Nonstationary M/M/s Queue
• Time-Dependent Queues
• The transient solution of time-dependent M/M/1 queues
• A Simple Approximation to the Average Queue Size in the Time-Dependent M/M/1 Queue
• The M/M/∞ Queue with Varying Arrival and Departure Rates
• Exact and asymptotic solutions to a PDE that arises in time-dependent queues
• Singularly Perturbed Discrete-Time Markov Chains
• Strong Approximations for Time-Dependent Queues
• Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains
• Estimating Customer and Time Averages
• Mt/G/∞ Queues with Sinusoidal Arrival Rates
• Queues with time-dependent arrival rates I—the transition through saturation
• Queues with time-dependent arrival rates. II — The maximum queue and the return to equilibrium
• Queues with time-dependent arrival rates. III — A mild rush hour