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Analysis of the M/M/1 Queue with Processor Sharing via Spectral Theory
3 references·4 citing·29 second hop
Analysis of the M/M/1 Queue with Processor Sharing via Spectral Theory (2001)Analysis of the M/M/1 Queue with Processo…Applied Probability and Queues (1987)Applied Probability and QueuesResponse-Time Distribution for a Processor-Sharing System (1985)Response-Time Distribution fo…Waiting Time Distributions for Processor-Sharing Systems (1970)Waiting Time Distributions fo…Large deviations of sojourn times in processor sharing queues (2006)Large deviations of sojourn t…Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates (2006)Fluid and diffusion limits fo…AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue (2005)AnRG-Factorization Approach f…Sojourn time distribution in a MAP/M/1 processor-sharing queue (2003)Sojourn time distribution in …A single-server queue with server vacations and a class of non-renewal arrival processes (1990)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing (2004)An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue (2016)Time-shared Systems (1967)The sojourn-time distribution in the M/G/1 queue by processor sharing (1984)Processor-sharing queues: Some progress in analysis (1987)Sojourn time asymptotics in the M/G/1 processor sharing queue (2000)New results on the single server queue with a batch markovian arrival process (1991)A tandem network with MAP inputs (2007)Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent M/G/1-type and its application to BMAP/M/ $$\infty $$ ∞ and BMAP/M/c+M queues (2016)ERROR BOUNDS FOR LAST-COLUMN-BLOCK-AUGMENTED TRUNCATIONS OF BLOCK-STRUCTURED MARKOV CHAINS (2017)Applied Probability and Queues (2003)Insurance: Mathematics and Economics (2004)SOJOURN TIME TAILS IN THE M/D/1 PROCESSOR SHARING QUEUE (2006)The Fluid Limit of an Overloaded Processor Sharing Queue (2006)Tail-robust scheduling via limited processor sharing (2010)A Proof for the Queuing Formula: L = λ W (1961)Queueing systems, volume II: computer applications (1977)A proof of the queueing formula: L=λW (2001)Dynamic Optimization with Applications to Dynamic Rate Queues (2010)Dynamic rate Erlang-A queues (2018)Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes (2018)Mathematical problems in the theory of shared-processor systems (1992)Processor-sharing models for integrated-services networks (2000)The equivalence between processor sharing and service in random order (2003)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)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1970Waiting Time Distributions for Processor-Sharing Systems236 cited
  • 1985Response-Time Distribution for a Processor-Sharing System78 cited

Cited by

  • 2006Large deviations of sojourn times in processor sharing queues38 cited
  • 2005AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue32 cited
  • 2003Sojourn time distribution in a MAP/M/1 processor-sharing queue31 cited
  • 2006Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates27 cited

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