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A heavy-traffic analysis of a closed queueing system with a GI/∞ service center
12 references·16 citing·37 second hop
A heavy-traffic analysis of a closed queueing system with a GI/∞ service center (1997)A heavy-traffic analysis of a closed queu…Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Netw…Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…A new view of the heavy-traffic limit theorem for infinite-server queues (1991)A new view of the heavy-traff…Theory of Martingales (1989)Theory of MartingalesLimit Theorems for Stochastic Processes (1987)Limit Theorems for Stochastic…Stochastic Calculus and Applications. (1986)Stochastic Calculus and Appli…Open and Closed Models for Networks of Queues (1984)Open and Closed Models for Ne…On the heavy-traffic limit theorem forGI/G/∞ queues (1982)On the heavy-traffic limit th…Point Processes and Queues (1981)Point Processes and QueuesWeak convergence in queueing theory (1973)Weak convergence in queueing …On limit laws for service processes in multi-channel systems (1967)On limit laws for service pro…Limiting diffusion approximations for the many server queue and the repairman problem (1965)Limiting diffusion approximat…Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment (2018)Many-server Gaussian limits f…Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues (2018)Functional central limit theo…Refined Models for Efficiency-Driven Queues with Applications to Delay Announcements and Staffing (2017)Refined Models for Efficiency…Many-server heavy-traffic limit for queues with time-varying parameters (2014)Many-server heavy-traffic lim…SPDE limits of many-server queues (2013)SPDE limits of many-server qu…Two-parameter heavy-traffic limits for infinite-server queues with dependent service times (2012)Two-parameter heavy-traffic l…The Impact of Dependent Service Times on Large-Scale Service Systems (2012)The Impact of Dependent Servi…A many-server fluid limit for the queueing model experiencing periods of overloading (2012)A many-server fluid limit for…Large-time asymptotics for the G t /M t /s t +GI t many-server fluid queue with abandonment (2011)Large-time asymptotics for th…Two-parameter heavy-traffic limits for infinite-server queues (2010)Two-parameter heavy-traffic l…On many-server queues in heavy traffic (2010)On many-server queues in heav…Dynamics of New Product Introduction in Closed Rental Systems (2009)Dynamics of New Product Intro…Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime (2008)Queues with Many Servers: The…Dimensioning Large-Scale Membership Services (2008)Dimensioning Large-Scale Memb…Heavy-Traffic Limits for the G/H2*/n/mQueue (2005)Heavy-Traffic Limits for the …A multi-class fluid model for a contact center with skill-based routing (2005)A multi-class fluid model for…The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)Introduction to the Theory of Random Processes (2002)Queues with Many Servers and Impatient Customers (2012)On Queues in Heavy Traffic (1962)Stochastic Processes in Queueing Theory (1976)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Operational Research: methods and applications (2023)Networks of Waiting Lines (1957)Queueing systems, volume II: computer applications (1977)Brownian Motion and Stochastic Flow Systems. 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this work references cited by second hop

References

  • 1981Point Processes and Queues1,652 cited
  • 1987Limit Theorems for Stochastic Processes1,319 cited
  • 1989Theory of Martingales956 cited
  • 1986Stochastic Calculus and Applications.673 cited
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 1965Limiting diffusion approximations for the many server queue and the repairman problem211 cited
  • 1984Open and Closed Models for Networks of Queues161 cited
  • 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks152 cited
  • 1982On the heavy-traffic limit theorem forGI/G/∞ queues132 cited
  • 1967On limit laws for service processes in multi-channel systems126 cited
  • 1973Weak convergence in queueing theory116 cited
  • 1991A new view of the heavy-traffic limit theorem for infinite-server queues108 cited

Cited by

  • 2005Heavy-Traffic Limits for the G/H2*/n/mQueue75 cited
  • 2018Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues66 cited
  • 2010Two-parameter heavy-traffic limits for infinite-server queues65 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

2013
SPDE limits of many-server queues
62 cited
  • 2010On many-server queues in heavy traffic53 cited
  • 2014Many-server heavy-traffic limit for queues with time-varying parameters49 cited
  • 2008Queues with Many Servers: The Virtual Waiting-Time Process in the QED Regime45 cited
  • 2012A many-server fluid limit for the queueing model experiencing periods of overloading45 cited
  • 2011Large-time asymptotics for the G t /M t /s t +GI t many-server fluid queue with abandonment44 cited
  • 2017Refined Models for Efficiency-Driven Queues with Applications to Delay Announcements and Staffing29 cited
  • 2012Two-parameter heavy-traffic limits for infinite-server queues with dependent service times27 cited
  • 2012The Impact of Dependent Service Times on Large-Scale Service Systems27 cited
  • 2018Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment27 cited
  • 2008Dimensioning Large-Scale Membership Services26 cited
  • 2005A multi-class fluid model for a contact center with skill-based routing25 cited
  • 2009Dynamics of New Product Introduction in Closed Rental Systems24 cited