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Unstable Asymptotics for Nonstationary Queues
16 references·4 citing·46 second hop
Unstable Asymptotics for Nonstationary Queues (1994)Unstable Asymptotics for Nonstationary Qu…Strong Approximations for Time-Dependent Queues (1995)Strong Approximations for Tim…Networks of infinite-server queues with nonstationary Poisson input (1993)Networks of infinite-server q…The Asymptotic Efficiency of Simulation Estimators (1992)The Asymptotic Efficiency of …The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase (1991)The Pointwise Stationary Appr…A review ofL=?W and extensions (1991)A review ofL=?W and extensionsSample-path analysis of processes with imbedded point processes (1989)Sample-path analysis of proce…Queues with nonstationary inputs (1989)Queues with nonstationary inp…Extensions of the Queueing Relations L = λW and H = λG (1989)Extensions of the Queueing Re…Ordinary CLT and WLLN Versions of L = λW (1988)Ordinary CLT and WLLN Version…A central-limit-theorem version ofL=?w (1986)A central-limit-theorem versi…Asymptotic Analysis of the Time Dependent M/M/1 Queue (1985)Asymptotic Analysis of the Ti…The asymptotic behavior o queues with time-varying arrival rates (1984)The asymptotic behavior o que…Point Processes and Queues (1981)Point Processes and QueuesTechnical Note—A Last Word on L = λW (1974)Technical Note—A Last Word on…Weak convergence theorems for priority queues: preemptive-resume discipline (1971)Weak convergence theorems for…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Stabilizing performance in a single-server queue with time-varying arrival rate (2015)Stabilizing performance in a …Heavy-traffic limits for queues with periodic arrival processes (2014)Heavy-traffic limits for queu…A sample path analysis of the M t /M t /c queue (1999)A sample path analysis of the…Large deviations of inverse processes with nonlinear scalings (1998)Large deviations of inverse p…A Proof for the Queuing Formula: L = λ W (1961)Poisson Arrivals See Time Averages (1982)Stochastic Modeling and the Theory of Queues (1989)The Distributional Little's Law and Its Applications (1995)Multi-Server Queueing Systems with Multiple Priority Classes (2005)Operational Research: methods and applications (2023)The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Erlang-R: A Time-Varying Queue with Reentrant Customers, in Support of Healthcare Staffing (2014)Resource Sharing for Efficiency in Traffic Systems (1981)Applications of Queueing Theory (1985)Chapter 5 Performance evaluation of production networks (1993)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)Continuity of Generalized Semi-Markov Processes (1980)Comparing counting processes and queues (1981)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)A Survey and Experimental Comparison of Service-Level-Approximation Methods for NonstationaryM(t)/M/s(t)Queueing Systems with Exhaustive Discipline (2007)Performance analysis of time-dependent queueing systems: Survey and classification (2015)Staffing and scheduling under nonstationary demand for service: A literature review (2015)Open Queueing Networks in Heavy Traffic (1984)Theory of Martingales (1989)The truncated normal distribution: Applications to queues with impatient customers (2014)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Fundamentals of Queueing Theory. (1977)A Closure Approximation for the Nonstationary M / M / s Queue (1979)Fundamentals of queueing theory (2nd ed.). (1985)The Analysis of Queues with Time-Varying Rates for Telecommunication Models (2002)Nonstationary Queues: Estimation of the Rate of Convergence (2004)Revenue Management of Reusable Resources with Advanced Reservations (2016)A Stochastic Approximation Method (1951)Stochastic Estimation of the Maximum of a Regression Function (1952)The variation of certain speculative prices (1997)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Nested Simulation in Portfolio Risk Measurement (2010)Unbiased Estimation with Square Root Convergence for SDE Models (2015)Modeling Term Structures of Defaultable Bonds (1999)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The jump-risk premia implicit in options: evidence from an integrated time-series study (2002)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)
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References

  • 1981Point Processes and Queues1,652 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1992The Asymptotic Efficiency of Simulation Estimators215 cited
  • 1993Networks of infinite-server queues with nonstationary Poisson input192 cited
  • 1974Technical Note—A Last Word on L = λW179 cited
  • 1995Strong Approximations for Time-Dependent Queues144 cited
  • 1991A review ofL=?W and extensions132 cited
  • 1991The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase122 cited
  • 1971Weak convergence theorems for priority queues: preemptive-resume discipline91 cited
  • 1985Asymptotic Analysis of the Time Dependent M/M/1 Queue85 cited
  • 1984The asymptotic behavior o queues with time-varying arrival rates80 cited
  • 1988Ordinary CLT and WLLN Versions of L = λW64 cited
  • 1986A central-limit-theorem version ofL=?w54 cited
  • 1989Queues with nonstationary inputs53 cited
  • 1989Sample-path analysis of processes with imbedded point processes46 cited
  • 1989Extensions of the Queueing Relations L = λW and H = λG

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37 cited

Cited by

  • 2015Stabilizing performance in a single-server queue with time-varying arrival rate26 cited
  • 1999A sample path analysis of the M t /M t /c queue21 cited
  • 1998Large deviations of inverse processes with nonlinear scalings20 cited
  • 2014Heavy-traffic limits for queues with periodic arrival processes12 cited