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Sojourn time distribution in a MAP/M/1 processor-sharing queue
12 references·5 citing·32 second hop
Sojourn time distribution in a MAP/M/1 processor-sharing queue (2003)Sojourn time distribution in a MAP/M/1 pr…The equivalence between processor sharing and service in random order (2003)The equivalence between proce…Analysis of the M/M/1 Queue with Processor Sharing via Spectral Theory (2001)Analysis of the M/M/1 Queue w…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…An approximation for the sojourn-time distribution for the gi/g/1 processor-sharing queue (1992)An approximation for the sojo…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…Applied Probability and Queues (1987)Applied Probability and QueuesResponse-Time Distribution for a Processor-Sharing System (1985)Response-Time Distribution fo…A Conditional Response Time of the M/M/1 Processor-Sharing Queue (1985)A Conditional Response Time o…The sojourn-time distribution in the M/G/1 queue by processor sharing (1984)The sojourn-time distribution…The sojourn time in the GI/M/1 queue by processor sharing (1984)The sojourn time in the GI/M/…Waiting Time Distributions for Processor-Sharing Systems (1970)Waiting Time Distributions fo…Analysis of MAP/M/1 queue with working breakdowns (2017)Analysis of MAP/M/1 queue wit…An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue (2016)An algorithmic analysis of th…The M/G/1 processor-sharing queue with disasters (2006)The M/G/1 processor-sharing q…Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates (2006)Fluid and diffusion limits fo…Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing (2004)Sojourn time distribution in …Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)New results on the single server queue with a batch markovian arrival process (1991)Structural results for the control of queueing systems using event-based dynamic programming (1998)The BMAP/G/1 queue: A tutorial (2005)Monotonicity in Markov Reward and Decision Chains: Theory and Applications (2006)Time-shared Systems (1967)Processor-sharing queues: Some progress in analysis (1987)Sojourn time asymptotics in the M/G/1 processor sharing queue (2000)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)The Single Server Queue (1983)Sojourn time asymptotics in processor-sharing queues (2006)Scheduling for today's computer systems: bridging theory and practice (2007)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Fundamentals of Queueing Theory. (1975)Fundamentals of Queueing Theory. (1977)The Single Server Queue. (1983)Processor sharing: A survey of the mathematical theory (2007)AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue (2005)Large deviations of sojourn times in processor sharing queues (2006)Convex ordering of sojourn times in single-server queues: extremal properties of FIFO and LIFO service disciplines (1987)Mathematical problems in the theory of shared-processor systems (1992)Processor-sharing models for integrated-services networks (2000)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)Risk theory in a Markovian environment (1989)The Markov-modulated Poisson process (MMPP) cookbook (1993)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1970Waiting Time Distributions for Processor-Sharing Systems236 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 1984The sojourn-time distribution in the M/G/1 queue by processor sharing115 cited
  • 1985Response-Time Distribution for a Processor-Sharing System78 cited
  • 2003The equivalence between processor sharing and service in random order54 cited
  • 1984The sojourn time in the GI/M/1 queue by processor sharing51 cited
  • 2001Analysis of the M/M/1 Queue with Processor Sharing via Spectral Theory43 cited
  • 1985A Conditional Response Time of the M/M/1 Processor-Sharing Queue42 cited
  • 1992An approximation for the sojourn-time distribution for the gi/g/1 processor-sharing queue35 cited

Cited by

  • 2006Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates27 cited
  • 2004Sojourn time distribution in the M/M/1 queue with discriminatory processor-sharing24 cited

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2016
An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue
19 cited
  • 2017Analysis of MAP/M/1 queue with working breakdowns18 cited
  • 2006The M/G/1 processor-sharing queue with disasters18 cited