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An approximation for the sojourn-time distribution for the gi/g/1 processor-sharing queue
6 references·11 citing·36 second hop
An approximation for the sojourn-time distribution for the gi/g/1 processor-sharing queue (1992)An approximation for the sojourn-time dis…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Processor-sharing queues: Some progress in analysis (1987)Processor-sharing queues: Som…Response-Time Distribution for a Processor-Sharing System (1985)Response-Time Distribution fo…The Single Server Queue. (1983)The Single Server Queue.A Guide to Simulation (1983)A Guide to SimulationWaiting Time Distributions for Processor-Sharing Systems (1970)Waiting Time Distributions fo…The processor-sharing queue with bulk arrivals and phase-type services (2006)The processor-sharing queue w…The M/G/1 processor-sharing queue with disasters (2006)The M/G/1 processor-sharing q…A sample path relation for the sojourn times in G/G/1−PS systems and its applications (2006)A sample path relation for th…AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue (2005)AnRG-Factorization Approach f…Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing (2004)Sojourn time distribution in …Processor-shared service systems with queue-dependent processors (2004)Processor-shared service syst…Sojourn time distribution in a MAP/M/1 processor-sharing queue (2003)Sojourn time distribution in …Resource sharing with subexponential distributions (2003)Resource sharing with subexpo…GI/G/1 processor sharing queue in heavy traffic (1994)GI/G/1 processor sharing queu…On a heavy traffic limit theorem for the M/G/1 processor-sharing queue (1993)On a heavy traffic limit theo…The gi/m/1 processor-sharing queue and its heavy traffic analysis (1991)The gi/m/1 processor-sharing …Applied Probability and Queues (1987)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)Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates (2006)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)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)The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)An introduction to queueing theory (1993)The fluid limit of a heavily loaded processor sharing queue (2002)A survey on discriminatory processor sharing (2006)Fundamentals of Queueing Theory. (1977)Matrix-geometric solutions in stochastic models (1985)A duality theorem for the matrix paradigms in queueing theory (1990)A Queue with Service Interruptions in an Alternating Random Environment (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)On a relationship between processor-sharing queues and Crump–Mode–Jagers branching processes (1992)Heavy traffic limit for a processor sharing queue with soft deadlines (2007)Costs, effects and C/E‐ratios alongside a clinical trial (1994)Use of Cumulative Sums of Squares for Retrospective Detection of Changes of Variance (1994)Model Transparency and Validation (2012)Decomposing the queue length distribution of processor-sharing models into queue lengths of permanent customer queues (2005)Analysis of the M/G/1 queue with discriminatory random order service policy (2010)Fluid approximation of closed queueing networks with discriminatory processor sharing (2020)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)Extreme Values in the GI/G/1 Queue (1972)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)
this work references cited by second hop

References

  • 1983A Guide to Simulation1,468 cited
  • 1983The Single Server Queue.370 cited
  • 1970Waiting Time Distributions for Processor-Sharing Systems236 cited
  • 1987Processor-sharing queues: Some progress in analysis189 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1985Response-Time Distribution for a Processor-Sharing System78 cited

Cited by

  • 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
  • 2004Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing24 cited
  • 1994GI/G/1 processor sharing queue in heavy traffic21 cited
  • 1991The gi/m/1 processor-sharing queue and its heavy traffic analysis20 cited
  • 2003Resource sharing with subexponential distributions19 cited
  • 2006The M/G/1 processor-sharing queue with disasters18 cited
  • 2006A sample path relation for the sojourn times in G/G/1−PS systems and its applications17 cited
  • 1993On a heavy traffic limit theorem for the M/G/1 processor-sharing queue

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16 cited
  • 2004Processor-shared service systems with queue-dependent processors14 cited
  • 2006The processor-sharing queue with bulk arrivals and phase-type services13 cited