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The advantage of indices of dispersion in queueing approximations
13 references·2 citing·45 second hop
The advantage of indices of dispersion in queueing approximations (2019)The advantage of indices of dispersion in…Using Robust Queueing to Expose the Impact of Dependence in Single-Server Queues (2017)Using Robust Queueing to Expo…Robust Queueing Theory (2015)Robust Queueing TheorySequential Bottleneck Decomposition: An Approximation Method for Generalized Jackson Networks (1994)Sequential Bottleneck Decompo…The QNET method for two-moment analysis of open queueing networks (1990)The QNET method for two-momen…The heavy-traffic bottleneck phenomenon in open queueing networks (1990)The heavy-traffic bottleneck …Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Measurements and approximatio…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…On Approximations for Queues, III: Mixtures of Exponential Distributions (1984)On Approximations for Queues,…A Light Traffic Approximation for a Single-Server Queue (1984)A Light Traffic Approximation…The Queueing Network Analyzer (1983)The Queueing Network AnalyzerApproximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Approximating a Point Process…On the relation between customer and time averages in queues (1971)On the relation between custo…Some Inequalities for the Queue GI/G/1 (1962)Some Inequalities for the Que…Supervised ML for Solving the GI/GI/1 Queue (2023)Supervised ML for Solving the…Queues with path-dependent arrival processes (2021)Queues with path-dependent ar…Networks of Waiting Lines (1957)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Brownian Motion and Stochastic Flow Systems. (1987)Towards better multi-class parametric-decomposition approximations for open queueing networks (1994)Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996)Service system structure (2000)Theory, Volume 1, Queueing Systems (1975)Stochastic Processes in Queueing Theory (1976)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Planning Queueing Simulations (1989)APPROXIMATIONS FOR THE GI/G/m QUEUE (1993)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)The stability of a queue with non-independent inter-arrival and service times (1962)A martingale inequality in the theory of queues (1964)Chapter 5 Performance evaluation of production networks (1993)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Poisson Arrivals See Time Averages (1982)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The MacLaurin series for the GI/G/1 queue (1992)Variability Functions for Parametric-Decomposition Approximations of Queueing Networks (1995)Partitioning Customers into Service Groups (1999)Multiple channel queues in heavy traffic. I (1970)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)The origin of bursts and heavy tails in human dynamics (2005)Robust Optimization (2009)Theory and Applications of Robust Optimization (2010)Optimal Design for Multi-Item Auctions: A Robust Optimization Approach (2014)Closed-Form Solutions for Robust Inventory Management (2016)A Review of Robust Operations Management under Model Uncertainty (2020)On the theory of queues with many servers (1955)A Proof for the Queuing Formula: L = λ W (1961)Regenerative processes in the theory of queues, with applications to the alternating-priority queue (1972)The Relation between Customer and Time Averages in Queues (1980)Queueing Systems with Service Interruptions (1986)Strategic Analysis of Integrated Production-Distribution Systems: Models and Methods (1988)New results on the single server queue with a batch markovian arrival process (1991)Inventory Management of Remanufacturable Products (2000)On Approximations for Queues, I: Extremal Distributions (1984)Heavy-Traffic Limits for the G/H2*/n/mQueue (2005)Serial production line performance under random variation: Dealing with the ‘Law of Variability’ (2019)A Survey of Road Traffic Congestion Measures towards a Sustainable and Resilient Transportation System (2020)
this work references cited by second hop

References

  • 1983The Queueing Network Analyzer1,034 cited
  • 1982Approximating a Point Process by a Renewal Process, I: Two Basic Methods544 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1962Some Inequalities for the Queue GI/G/1222 cited
  • 1971On the relation between customer and time averages in queues128 cited
  • 1990The QNET method for two-moment analysis of open queueing networks109 cited
  • 1984On Approximations for Queues, III: Mixtures of Exponential Distributions81 cited
  • 1989Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue79 cited
  • 2015Robust Queueing Theory77 cited
  • 1990The heavy-traffic bottleneck phenomenon in open queueing networks51 cited
  • 1994Sequential Bottleneck Decomposition: An Approximation Method for Generalized Jackson Networks33 cited
  • 2017Using Robust Queueing to Expose the Impact of Dependence in Single-Server Queues31 cited
  • 1984A Light Traffic Approximation for a Single-Server Queue17 cited

Cited by

  • 2023Supervised ML for Solving the GI/GI/1 Queue11 cited
  • 2021Queues with path-dependent arrival processes

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11 cited