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A new look at transient versions of Little's law, and M/G/1 preemptive last-come-first-served queues
14 references·3 citing·33 second hop
A new look at transient versions of Little's law, and M/G/1 preemptive last-come-first-served queues (2010)A new look at transient versions of Littl…Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences (2010)Elements of Queueing Theory: …Elements of Queueing Theory (2003)Elements of Queueing TheoryTransient behavior of stochastic networks :application to production planning with load-dependent lead times (2002)Transient behavior of stochas…Introduction to Stochastic Networks (1999)Introduction to Stochastic Ne…Transient laws of non-stationary queueing systems and their applications (1997)Transient laws of non-station…The Distributional Little's Law and Its Applications (1995)The Distributional Little's L…On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…The M/G/1 processor-sharing model: transient behavior (1993)The M/G/1 processor-sharing m…A review ofL=?W and extensions (1991)A review ofL=?W and extensionsTransient behavior of the M/M/ 1 queue via Laplace transforms (1988)Transient behavior of the M/M…A distributional form of Little's Law (1988)A distributional form of Litt…Transient behavior of the M/M/l queue: Starting at the origin (1987)Transient behavior of the M/M…Transient behavior of regulated Brownian motion, I: Starting at the origin (1987)Transient behavior of regulat…A relation between stationary queue and waiting time distributions (1971)A relation between stationary…On classes of Bitcoin-inspired infinite-server queueing systems (2020)On classes of Bitcoin-inspire…ESTIMATING WAITING TIMES WITH THE TIME-VARYING LITTLE'S LAW (2013)ESTIMATING WAITING TIMES WITH…On the time-dependent moments of Markovian queues with reneging (2012)On the time-dependent moments…A Proof for the Queuing Formula: L = λ W (1961)Poisson Arrivals See Time Averages (1982)Stochastic Modeling and the Theory of Queues (1989)Multi-Server Queueing Systems with Multiple Priority Classes (2005)Operational Research: methods and applications (2023)The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)The Efficiency of One Long Run Versus Independent Replications in Steady-State Simulation (1991)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Dynamic priority allocation via restless bandit marginal productivity indices (2007)A queue with working breakdowns (2012)Exact analysis of the M/M/k/setup class of Markov chains via recursive renewal reward (2013)An introduction to queueing theory (1993)Transient analysis of Bernoulli serial lines: performance evaluation and system-theoretic properties (2012)Brownian Motion and Stochastic Flow Systems. (1987)State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)On the transition densities for reflected diffusions (2005)Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models (2011)INFORMATION COSTS, PRICING, AND RESOURCE UNEMPLOYMENT (1969)Martingale Methods in Financial Modelling (1997)Simulation modeling for analysis (2010)Common-Lines and Passenger Assignment in Congested Transit Networks (2001)Stability of Queueing Networks (2008)Stability of queueing networks (2008)Asymptotic results for multiplexing subexponential on-off processes (1999)The supremum of a negative drift random walk with dependent heavy-tailed steps (2000)Analysis, Design, and Control of Queueing Systems (2002)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Control Techniques for Complex Networks (2007)Blind Fair Routing in Large-Scale Service Systems with Heterogeneous Customers and Servers (2013)
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References

  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 2003Elements of Queueing Theory596 cited
  • 1999Introduction to Stochastic Networks430 cited
  • 2010Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences354 cited
  • 1991A review ofL=?W and extensions132 cited
  • 1988Transient behavior of the M/M/ 1 queue via Laplace transforms127 cited
  • 1987Transient behavior of the M/M/l queue: Starting at the origin124 cited
  • 1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
  • 1988A distributional form of Little's Law89 cited
  • 1971A relation between stationary queue and waiting time distributions85 cited
  • 1995The Distributional Little's Law and Its Applications80 cited
  • 1997Transient laws of non-stationary queueing systems and their applications55 cited
  • 2002Transient behavior of stochastic networks :application to production planning with load-dependent lead times46 cited
  • 1993The M/G/1 processor-sharing model: transient behavior22 cited

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  • 2013ESTIMATING WAITING TIMES WITH THE TIME-VARYING LITTLE'S LAW

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16 cited
  • 2012On the time-dependent moments of Markovian queues with reneging14 cited
  • 2020On classes of Bitcoin-inspired infinite-server queueing systems12 cited