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A fork-join queueing model: Diffusion approximation, integral representations and asymptotics
10 references·3 citing·34 second hop
A fork-join queueing model: Diffusion approximation, integral representations and asymptotics (1996)A fork-join queueing model: Diffusion app…Processing Networks with Parallel and Sequential Tasks: Heavy Traffic Analysis and Brownian Limits (1993)Processing Networks with Para…Two parallel processors with coupled inputs (1992)Two parallel processors with …The fork-join queue and related systems with synchronization constraints: stochastic ordering and computable bounds (1989)The fork-join queue and relat…Performance analysis of parallel processing systems (1988)Performance analysis of paral…Approximate analysis of fork/join synchronization in parallel queues (1988)Approximate analysis of fork/…Two parallel queues created by arrivals with two demands:the M/G/2 symmetrical case (1985)Two parallel queues created b…Two Parallel Queues Created by Arrivals with Two Demands II (1985)Two Parallel Queues Created b…Simple computable bounds for the fork-join queue (1985)Simple computable bounds for …Two Parallel Queues Created by Arrivals with Two Demands I (1984)Two Parallel Queues Created b…Equilibria for diffusion models of pairs of communicating computers--Symmetric case (1982)Equilibria for diffusion mode…Non-Asymptotic Delay Bounds for Multi-Server Systems with Synchronization Constraints (2018)Non-Asymptotic Delay Bounds f…Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic (2015)Gaussian Limits for a Fork-Jo…Heavy Traffic Analysis of Two Coupled Processors (2003)Heavy Traffic Analysis of Two…Introduction to Operations Research (1968)The Queueing Network Analyzer (1983)Brownian Motion and Stochastic Flow Systems. (1987)Generalized queueing network analysis of integrated supply chains (2001)Sojourn times in G/M/1 fork‐join networks (2008)Theory, Volume 1, Queueing Systems (1975)Acyclic fork-join queuing networks (1989)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)Two Parallel Queues with Dynamic Routing (1986)Steady-state analysis of reflected Brownian motions: characterization, numerical methods and queueing applications (1991)Private Correspondence (2024)The Single Server Queue (1983)The stochastic rendezvous network model for performance of synchronous client-server-like distributed software (1995)Order-Fulfillment Performance Measures in an Assemble-to-Order System with Stochastic Leadtimes (1999)A First Course in Bulk Queues (1983)Queueing models for systems with synchronization constraints (1989)Analysis of Fork/Join and Related Queueing Systems (2014)Two queues in parallel (1977)Asymptotics of first passage times for random walk in an orthant (1999)The Effectiveness of Several Performance Bounds for Capacitated Production, Partial-Order-Service, Assemble-to-Order Systems (2003)Tail asymptotics for a generalized two-demand queueing model—a kernel method (2011)The stability of a queue with non-independent inter-arrival and service times (1962)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Interpolation approximations for symmetric Fork-Join queues (1994)Queueing with redundant requests: exact analysis (2016)Analysis of fork-join program response times on multiprocessors (1990)Efficient Response Time Approximations for Multiclass Fork and Join Queues in Open and Closed Queuing Networks (2013)Scheduling tasks with precedence constraints on multiple servers (2014)Delay Asymptotics and Bounds for Multi-Task Parallel Jobs (2019)Delay asymptotics and bounds for multitask parallel jobs (2019)Response time analysis of parallel computer and storage systems (2001)Response times in M/M/s fork-join networks (2004)
this work references cited by second hop

References

  • 1988Approximate analysis of fork/join synchronization in parallel queues332 cited
  • 1984Two Parallel Queues Created by Arrivals with Two Demands I309 cited
  • 1989The fork-join queue and related systems with synchronization constraints: stochastic ordering and computable bounds162 cited
  • 1988Performance analysis of parallel processing systems156 cited
  • 1985Two Parallel Queues Created by Arrivals with Two Demands II78 cited
  • 1992Two parallel processors with coupled inputs54 cited
  • 1985Simple computable bounds for the fork-join queue50 cited
  • 1993Processing Networks with Parallel and Sequential Tasks: Heavy Traffic Analysis and Brownian Limits49 cited
  • 1982Equilibria for diffusion models of pairs of communicating computers--Symmetric case43 cited
  • 1985Two parallel queues created by arrivals with two demands:the M/G/2 symmetrical case32 cited

Cited by

  • 2018Non-Asymptotic Delay Bounds for Multi-Server Systems with Synchronization Constraints23 cited
  • 2003Heavy Traffic Analysis of Two Coupled Processors19 cited
  • 2015Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic18 cited

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