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Interpolation approximations for symmetric Fork-Join queues
6 references·16 citing·36 second hop
Interpolation approximations for symmetric Fork-Join queues (1994)Interpolation approximations for symmetri…The fork-join queue and related systems with synchronization constraints: stochastic ordering and computable bounds (1989)The fork-join queue and relat…Queueing models for systems with synchronization constraints (1989)Queueing models for systems w…Open Queueing Systems in Light Traffic (1989)Open Queueing Systems in Ligh…Approximate analysis of fork/join synchronization in parallel queues (1988)Approximate analysis of fork/…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Two Parallel Queues Created by Arrivals with Two Demands I (1984)Two Parallel Queues Created b…Stochastic bounds in Fork–Join queueing systems under full and partial mapping (2016)Stochastic bounds in Fork–Joi…Non-asymptotic delay bounds for (k, l) fork-join systems and multi-stage fork-join networks (2016)Non-asymptotic delay bounds f…Computable Bounds in Fork-Join Queueing Systems (2015)Computable Bounds in Fork-Joi…Beyond the mean in fork-join queues: Efficient approximation for response-time tails (2015)Beyond the mean in fork-join …Analysis of Fork/Join and Related Queueing Systems (2014)Analysis of Fork/Join and Rel…Efficient Response Time Approximations for Multiclass Fork and Join Queues in Open and Closed Queuing Networks (2013)Efficient Response Time Appro…Response Time Approximations in Fork-Join Queues (2007)Response Time Approximations …Response times in M/M/s fork-join networks (2004)Response times in M/M/s fork-…Response time analysis of parallel computer and storage systems (2001)Response time analysis of par…Generalized queueing network analysis of integrated supply chains (2001)Generalized queueing network …A hybrid solution of fork/join synchronization in parallel queues (2001)A hybrid solution of fork/joi…Mean value technique for closed fork-join networks (1999)Mean value technique for clos…Computing performance bounds of fork-join parallel programs under a multiprocessing environment (1998)Computing performance bounds …Queueing-theoretic solution methods for models of parallel and distributed systems (1994)Queueing-theoretic solution m…Approximate solutions for M/G/1 fork/join synchronization (1994)Approximate solutions for M/G…APPROXIMATE QUEUEING NETWORK MODELS FOR CLOSED FABRICATION/ASSEMBLY SYSTEMS. PART I: SINGLE LEVEL SYSTEMS (1994)APPROXIMATE QUEUEING NETWORK …The stability of a queue with non-independent inter-arrival and service times (1962)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Quantitative system performance: computer system analysis using queueing network models (1984)Equivalence, reversibility, symmetry and concavity properties in fork-join queuing networks with blocking (1994)Dynamics and convergence rate of ordinal comparison of stochastic discrete-event systems (1997)Mean-Value Analysis of Closed Multichain Queuing Networks (1980)The Distribution of Queuing Network States at Input and Output Instants (1981)Product-Form Solution for Cascade Networks With Intermittent Energy (2018)Theory, Volume 1, Queueing Systems (1975)Performance analysis of parallel processing systems (1988)Acyclic fork-join queuing networks (1989)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Delay asymptotics and bounds for multitask parallel jobs (2019)Open problems in queueing theory inspired by datacenter computing (2021)Mathematical Theory of Connecting Networks and Telephone Traffic (1966)Approximations of the Mean Waiting Time in an M/G/s Queueing System (1979)Matrix-Geometric Solutions to Stochastic Models (1984)A multiclass feedback queue in heavy traffic (1988)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)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)Simulation Modeling and Analysis. (1983)Modeling and Analysis of Stochastic Systems (1996)Elements of Queueing Theory (2003)Sojourn times in G/M/1 fork‐join networks (2008)To aggregate or to eliminate? Optimal model simplification for improved process performance prediction (2018)Comparison Methods for Queues and Other Stochastic Models. (1986)An M/M/2 parallel system model with pure space sharing among rigid jobs (2006)Comparison Methods for Queues and Other Stochastic Models (1984)Reducing Latency via Redundant Requests (2015)Queueing with redundant requests: exact analysis (2016)Time-changed Lévy processes and option pricing (2003)Selection, Growth, and the Size Distribution of Firms (2007)A Continuous-Time Version of the Principal–Agent Problem (2008)
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References

  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 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
  • 1989Queueing models for systems with synchronization constraints134 cited
  • 1989Open Queueing Systems in Light Traffic111 cited

Cited by

  • 2014Analysis of Fork/Join and Related Queueing Systems86 cited
  • 2004Response times in M/M/s fork-join networks60 cited
  • 1999Mean value technique for closed fork-join networks57 cited
  • 1994Queueing-theoretic solution methods for models of parallel and distributed systems57 cited
  • 2001Response time analysis of parallel computer and storage systems55 cited
  • 2007Response Time Approximations in Fork-Join Queues47 cited
  • 1998Computing performance bounds of fork-join parallel programs under a multiprocessing environment45 cited
  • 2001Generalized queueing network analysis of integrated supply chains38 cited
  • 2001A hybrid solution of fork/join synchronization in parallel queues

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33 cited
  • 2015Beyond the mean in fork-join queues: Efficient approximation for response-time tails32 cited
  • 2016Stochastic bounds in Fork–Join queueing systems under full and partial mapping32 cited
  • 2013Efficient Response Time Approximations for Multiclass Fork and Join Queues in Open and Closed Queuing Networks31 cited
  • 1994Approximate solutions for M/G/1 fork/join synchronization30 cited
  • 2016Non-asymptotic delay bounds for (k, l) fork-join systems and multi-stage fork-join networks27 cited
  • 1994APPROXIMATE QUEUEING NETWORK MODELS FOR CLOSED FABRICATION/ASSEMBLY SYSTEMS. PART I: SINGLE LEVEL SYSTEMS27 cited
  • 2015Computable Bounds in Fork-Join Queueing Systems24 cited