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Analytic Computation Schemes for the Discrete-Time Bulk Service Queue
8 references·14 citing·37 second hop
Analytic Computation Schemes for the Discrete-Time Bulk Service Queue (2005)Analytic Computation Schemes for the Disc…Discrete-Time Models for Communication Systems Including ATM (1993)Discrete-Time Models for Comm…Analysis of Vehicle Holding and Cancellation Strategies in Bulk Arrival, Bulk Service Queues (1985)Analysis of Vehicle Holding a…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…A First Course in Bulk Queues. (1984)A First Course in Bulk Queues.The Single Server Queue (1983)The Single Server QueueA First Course in Bulk Queues (1983)A First Course in Bulk QueuesWaiting Time in Bulk Service Queues (1955)Waiting Time in Bulk Service …On Queueing Processes with Bulk Service (1954)On Queueing Processes with Bu…Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime (2019)Economies-of-Scale in Many-Se…Robust heavy-traffic approximations for service systems facing overdispersed demand (2018)Robust heavy-traffic approxim…Analytically elegant and computationally efficient results in terms of roots for the $$GI^{X}/M/c$$ G I X / M / c queueing system (2016)Analytically elegant and comp…Waiting-time analysis of D-$${ BMAP}{/}G{/}1$$BMAP/G/1 queueing system (2015)Waiting-time analysis of D-$$…Analytic and computational analysis of the discrete-time GI/D-MSP/1 queue using roots (2014)Analytic and computational an…Analysis of B M A P/M S P/1 Queue (2014)Analysis of B M A P/M S P/1 Q…Analysis of a versatile batch-service queueing model with correlation in the arrival process (2013)Analysis of a versatile batch…Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism (2012)Tail probabilities of the del…Tail distribution of the delay in a general batch-service queueing model (2012)Tail distribution of the dela…ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS (2012)ANALYTICALLY EXPLICIT RESULTS…A Simple and Complete Computational Analysis of MAP/R/1 Queue Using Roots (2011)A Simple and Complete Computa…Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime (2008)Corrected asymptotics for a m…Back to the roots of the M/D/ s queue and the works of Erlang, Crommelin and Pollaczek (2008)Back to the roots of the M/D/…Relaxation Time for the Discrete D/G/1 Queue (2005)Relaxation Time for the Discr…A General Class of Bulk Queues with Poisson Input (1967)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)Analysis of finite-buffer discrete-time batch-service queue with batch-size-dependent service (2014)Algorithm for computing the queue length distribution at various time epochs in DMAP/G(1, a, b)/1/N queue with batch-size-dependent service time (2015)Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process (2017)Control Strategies for an Idealized Public Transportation System (1972)D/G/1 Queues with Vacations (1986)Optimal outbound dispatch policies: Modeling inventory and cargo capacity (2002)Coordination of Inventory and Shipment Consolidation Decisions: A Review of Premises, Models, and Justification (2005)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)A Contribution to the Theory of Bulk Queues (1959)Queues with paired customers (1981)On the Stochastic Matrices Associated with Certain Queuing Processes (1953)Queueing Systems with Phase Type Service (1954)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Spectral analysis ofM/G/1 andG/M/1 type Markov chains (1996)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)The power of two choices in randomized load balancing (2001)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Join-the-Shortest Queue diffusion limit in Halfin–Whitt regime: Sensitivity on the heavy-traffic parameter (2020)Operational Research: methods and applications (2023)QUEUEING NETWORKS- CUSTOMERS, SIGNALS, AND PRODUCT FORM SOLUTIONS (1999)Mathematical methods to study the polling systems (2006)Queues with interruptions: a survey (2012)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Performance analysis of parallel processing systems (1988)A survey on retrial queues (1989)Batch arrival queue with N-policy and single vacation (1995)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)On the Mx/G/1 queue with vacation time (1986)Real-time control of multiproduct bulk-service semiconductor manufacturing processes (1992)
this work references cited by second hop

References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1983The Single Server Queue844 cited
  • 1993Discrete-Time Models for Communication Systems Including ATM602 cited
  • 1983A First Course in Bulk Queues529 cited
  • 1954On Queueing Processes with Bulk Service321 cited
  • 1984A First Course in Bulk Queues.228 cited
  • 1955Waiting Time in Bulk Service Queues100 cited
  • 1985Analysis of Vehicle Holding and Cancellation Strategies in Bulk Arrival, Bulk Service Queues73 cited

Cited by

  • 2019Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime61 cited
  • 2013Analysis of a versatile batch-service queueing model with correlation in the arrival process57 cited
  • 2011A Simple and Complete Computational Analysis of MAP/R/1 Queue Using Roots38 cited
  • 2012Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism38 cited
  • 2012ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS27 cited
  • 2008Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime26 cited
  • 2008

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

Back to the roots of the M/D/ s queue and the works of Erlang, Crommelin and Pollaczek
26 cited
  • 2014Analysis of B M A P/M S P/1 Queue20 cited
  • 2015Waiting-time analysis of D-$${ BMAP}{/}G{/}1$$BMAP/G/1 queueing system15 cited
  • 2014Analytic and computational analysis of the discrete-time GI/D-MSP/1 queue using roots12 cited
  • 2012Tail distribution of the delay in a general batch-service queueing model12 cited
  • 2005Relaxation Time for the Discrete D/G/1 Queue12 cited
  • 2018Robust heavy-traffic approximations for service systems facing overdispersed demand12 cited
  • 2016Analytically elegant and computationally efficient results in terms of roots for the $$GI^{X}/M/c$$ G I X / M / c queueing system12 cited