SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
The MacLaurin series for the GI/G/1 queue
8 references·10 citing·40 second hop
The MacLaurin series for the GI/G/1 queue (1992)The MacLaurin series for the GI/G/1 queueOpen Queueing Systems in Light Traffic (1989)Open Queueing Systems in Ligh…Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Measurements and approximatio…Power Series for Stationary Distributions of Coupled Processor Models (1988)Power Series for Stationary D…Applied Probability and Queues (1987)Applied Probability and QueuesMatrix-geometric solutions in stochastic models (1985)Matrix-geometric solutions in…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Mathematical Theory of Connecting Networks and Telephone Traffic (1966)Mathematical Theory of Connec…The theory of queues with a single server (1952)The theory of queues with a s…Tail probability of transient and stationary waiting times in (max,+)-linear systems (2002)Tail probability of transient…Queueing Models with Multiple Waiting Lines (2001)Queueing Models with Multiple…Laplace Transform and Moments of Waiting Times in Poisson Driven (max,+) Linear Systems (2001)Laplace Transform and Moments…Transient and stationary waiting times in (max,+)-linear systems with Poisson input (1997)Transient and stationary wait…The Departure Process of the GI/G/1 Queue and Its MacLaurin Series (1996)The Departure Process of the …Taylor series expansions for Poisson-driven $(\max,+$)-linear systems (1996)Taylor series expansions for …Pade approximation for stochastic discrete-event systems (1995)Pade approximation for stocha…Analyticity of single-server queues in light traffic (1995)Analyticity of single-server …The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services (1993)The MacLaurin expansion for a…A new approach to (s, S) inventory systems (1993)A new approach to (s, S) inve…Poisson Arrivals See Time Averages (1982)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue (1989)Variability Functions for Parametric-Decomposition Approximations of Queueing Networks (1995)Partitioning Customers into Service Groups (1999)Queues and Point Processes. (1985)Properties of fork/join queueing networks with blocking under various operating mechanisms (1997)Admission control in stochastic event graphs (2000)Elements of Queueing Theory (2003)Two Similar Queues in Parallel (1961)Two queues in parallel (1977)Two Parallel Queues Created by Arrivals with Two Demands I (1984)Mathematical problems in the theory of shared-processor systems (1992)The Power-Series Algorithm Applied to the Shortest-Queue Model (1992)Applications of Markov Decision Processes in Communication Networks (2002)Approximations of the Mean Waiting Time in an M/G/s Queueing System (1979)On the pathwise computation of derivatives with respect to the rate of a point process: The phantom RPA method (1992)Call admission and routing in multi-service loss networks (1994)Interpolation approximations for symmetric Fork-Join queues (1994)The Single Server Queue (1983)Stochastic Modeling and the Theory of Queues (1989)SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES (2005)A video method for empirically studying wait‐perception bias (2006)Power series approximations for two-class generalized processor sharing systems (2010)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)An introduction to queueing theory (1993)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Data-driven robust optimization (2017)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)Queueing Networks: A Survey of Their Random Processes (1985)Deciding Which Queue to Join: Some Counterexamples (1986)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)Models for analysis of packet voice communications systems (1986)Risk theory in a Markovian environment (1989)Russian and American put options under exponential phase-type Lévy models (2003)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1952The theory of queues with a single server876 cited
  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 1966Mathematical Theory of Connecting Networks and Telephone Traffic812 cited
  • 1989Open Queueing Systems in Light Traffic111 cited
  • 1988Power Series for Stationary Distributions of Coupled Processor Models82 cited
  • 1989Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue79 cited

Cited by

  • 2001Queueing Models with Multiple Waiting Lines60 cited
  • 1996Taylor series expansions for Poisson-driven $(\max,+$)-linear systems54 cited
  • 1995Pade approximation for stochastic discrete-event systems37 cited
  • 2001Laplace Transform and Moments of Waiting Times in Poisson Driven (max,+) Linear Systems29 cited
  • 1997Transient and stationary waiting times in (max,+)-linear systems with Poisson input29 cited
  • 1993The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services27 cited
  • 1996The Departure Process of the GI/G/1 Queue and Its MacLaurin Series

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

24 cited
  • 1993A new approach to (s, S) inventory systems23 cited
  • 1995Analyticity of single-server queues in light traffic19 cited
  • 2002Tail probability of transient and stationary waiting times in (max,+)-linear systems19 cited