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Transform Methods for Heavy-Traffic Analysis
16 references·0 citing·33 second hop
Transform Methods for Heavy-Traffic Analysis (2020)Transform Methods for Heavy-Traffic Analy…MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic (2004)MaxWeight scheduling in a gen…Real-time queueing theory (2002)Real-time queueing theoryAchieving 100% throughput in an input-queued switch (2002)Achieving 100% throughput in …The power of two choices in randomized load balancing (2001)The power of two choices in r…Heavy traffic resource pooling in parallel‐server systems (1999)Heavy traffic resource poolin…Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …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…Hitting-time and occupation-time bounds implied by drift analysis with applications (1982)Hitting-time and occupation-t…A simple dynamic routing problem (1980)A simple dynamic routing prob…On the optimal assignment of customers to parallel servers (1978)On the optimal assignment of …Some Inequalities in Queuing (1968)Some Inequalities in QueuingSome Inequalities for the Queue GI/G/1 (1962)Some Inequalities for the Que…On Queues in Heavy Traffic (1962)On Queues in Heavy TrafficThe single server queue in heavy traffic (1961)The single server queue in he…The theory of queues with a single server (1952)The theory of queues with a s…Dynamic server allocation to parallel queues with randomly varying connectivity (1993)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)Optimality of the shortest line discipline (1977)Deciding Which Queue to Join: Some Counterexamples (1986)Optimal control of service rates in networks of queues (1987)Applied Probability and Queues (1987)Achieving 100% throughput in an input-queued switch (1999)Control Techniques for Complex Networks (2007)Input Versus Output Queueing on a Space-Division Packet Switch (1987)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)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Some Problems in the Theory of Queues (1951)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)Optimal control of two interacting service stations (1984)Stochastic Models of Computer Communication Systems (1985)Adversarial queuing theory (2001)An introduction to queueing theory (1993)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Data-driven robust optimization (2017)Multiple channel queues in heavy traffic. I (1970)Modeling and analysis of manufacturing systems (2016)A Staffing Algorithm for Call Centers with Skill-Based Routing (2005)Continuous approximation of collective system behaviour: A tutorial (2013)Incentives and redistribution in homogeneous bike-sharing systems with stations of finite capacity (2014)
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
  • 2001The power of two choices in randomized load balancing1,402 cited
  • 1952The theory of queues with a single server876 cited
  • 2002Achieving 100% throughput in an input-queued switch506 cited
  • 2004MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic460 cited
  • 1961The single server queue in heavy traffic444 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
  • 1978On the optimal assignment of customers to parallel servers337 cited
  • 1980A simple dynamic routing problem315 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
  • 2002Real-time queueing theory

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199 cited
  • 1968Some Inequalities in Queuing191 cited
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