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Asymptotically tight steady-state queue length bounds implied by drift conditions
14 references·16 citing·32 second hop
Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Asymptotically tight steady-state queue l…Control Techniques for Complex Networks (2007)Control Techniques for Comple…MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic (2004)MaxWeight scheduling in a gen…Applied Probability and Queues (2003)Applied Probability and QueuesHeavy traffic resource pooling in parallel‐server systems (1999)Heavy traffic resource poolin…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …Stability of queueing networks and scheduling policies (1995)Stability of queueing network…Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Dynamic server allocation to …Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Stability properties of const…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Applied Probability and Queues (1987)Applied Probability and QueuesHitting-time and occupation-time bounds implied by drift analysis with applications (1982)Hitting-time and occupation-t…Some Inequalities for the Queue GI/G/1 (1962)Some Inequalities for the Que…On Queues in Heavy Traffic (1962)On Queues in Heavy TrafficThe RESET and MARC techniques, with application to multiserver-job analysis (2023)The RESET and MARC techniques…Dynamic Pricing and Matching for Two-Sided Queues (2022)Dynamic Pricing and Matching …Steady‐state analysis of load balancing with Coxian‐2 distributed service times (2021)Steady‐state analysis of load…Job Dispatching Policies for Queueing Systems with Unknown Service Rates (2021)Job Dispatching Policies for …Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime (2020)Steady-State Analysis of the …Optimal Load Balancing with Locality Constraints (2020)Optimal Load Balancing with L…Asymptotically optimal load balancing in large-scale heterogeneous systems with multiple dispatchers (2020)Asymptotically optimal load b…Process Flexibility for Multiperiod Production Systems (2019)Process Flexibility for Multi…A Review of Flexible Processes and Operations (2019)A Review of Flexible Processe…State Dependent Control of Closed Queueing Networks with Application to Ride-Hailing (2018)State Dependent Control of Cl…The Power of Slightly More than One Sample in Randomized Load Balancing (2017)The Power of Slightly More th…Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Stein’s method for steady-sta…Designing Low-Complexity Heavy-Traffic Delay-Optimal Load Balancing Schemes (2017)Designing Low-Complexity Heav…Heavy Traffic Queue Length Behavior in a Switch Under the MaxWeight Algorithm (2016)Heavy Traffic Queue Length Be…Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits (2016)Diffusion Limit of Fair Resou…Scheduling tasks with precedence constraints on multiple servers (2014)Scheduling tasks with precede…Achieving 100% throughput in an input-queued switch (2002)Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule (2004)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Maximum Pressure Policies in Stochastic Processing Networks (2005)Networks of Waiting Lines (1957)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Motion and Stochastic Flow Systems. (1987)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)The stability of a queue with non-independent inter-arrival and service times (1962)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)The Pricing of Options and Corporate Liabilities (1973)Evolution and Intelligent Design (2008)Mean Field for Markov Decision Processes: From Discrete to Continuous Optimization (2012)Prescriptive analytics: Literature review and research challenges (2019)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Optimal control of two interacting service stations (1984)Stochastic Models of Computer Communication Systems (1985)Adversarial queuing theory (2001)Achieving 100% throughput in an input-queued switch (1999)Asset Pricing with Heterogeneous Consumers (1996)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
this work references cited by second hop

References

  • 1992Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks2,838 cited
  • 1987Applied Probability and Queues2,704 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1993Dynamic server allocation to parallel queues with randomly varying connectivity685 cited
  • 2007Control Techniques for Complex Networks530 cited
  • 2004MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic460 cited
  • 1982Hitting-time and occupation-time bounds implied by drift analysis with applications420 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1962On Queues in Heavy Traffic342 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 1995Stability of queueing networks and scheduling policies277 cited
  • 1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 cited
  • 1999Heavy traffic resource pooling in parallel‐server systems238 cited
  • 1962Some Inequalities for the Queue GI/G/1222 cited

Cited by

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2016
Heavy Traffic Queue Length Behavior in a Switch Under the MaxWeight Algorithm
110 cited
  • 2017The Power of Slightly More than One Sample in Randomized Load Balancing101 cited
  • 2017Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems72 cited
  • 2020Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime46 cited
  • 2019Process Flexibility for Multiperiod Production Systems45 cited
  • 2019A Review of Flexible Processes and Operations44 cited
  • 2017Designing Low-Complexity Heavy-Traffic Delay-Optimal Load Balancing Schemes44 cited
  • 2014Scheduling tasks with precedence constraints on multiple servers37 cited
  • 2022Dynamic Pricing and Matching for Two-Sided Queues36 cited
  • 2020Optimal Load Balancing with Locality Constraints22 cited
  • 2023The RESET and MARC techniques, with application to multiserver-job analysis22 cited
  • 2020Asymptotically optimal load balancing in large-scale heterogeneous systems with multiple dispatchers22 cited
  • 2021Steady‐state analysis of load balancing with Coxian‐2 distributed service times21 cited
  • 2016Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits20 cited
  • 2021Job Dispatching Policies for Queueing Systems with Unknown Service Rates18 cited
  • 2018State Dependent Control of Closed Queueing Networks with Application to Ride-Hailing18 cited