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An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle
15 references·2 citing·40 second hop
An ODE for an Overloaded X Model Involving a Stochastic Averaging Principle (2011)An ODE for an Overloaded X Model Involvin…A Fluid Approximation for Service Systems Responding to Unexpected Overloads (2011)A Fluid Approximation for Ser…Control of systems with flexible multi-server pools: a shadow routing approach (2010)Control of systems with flexi…Responding to Unexpected Overloads in Large-Scale Service Systems (2009)Responding to Unexpected Over…Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Queue-and-Idleness-Ratio Cont…On a Data-Driven Method for Staffing Large Call Centers (2009)On a Data-Driven Method for S…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments (2004)Efficiency-Driven Heavy-Traff…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle (1995)Polling Systems with Zero Swi…Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue (1994)Heavy-traffic asymptotic expa…Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Asymptotics for steady-state …Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…The caudal characteristic curve of queues (1986)The caudal characteristic cur…The caudal characteristic curve of queues (1984)The caudal characteristic cur…Overflow Networks: Approximations and Implications to Call Center Outsourcing (2012)Overflow Networks: Approximat…A Fluid Limit for an Overloaded X Model via a Stochastic Averaging Principle (2012)A Fluid Limit for an Overload…Central limit theorems for local martingales (1980)Law of large numbers limits for many-server queues (2010)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)Some Inequalities for the Queue GI/G/1 (1962)The Interrupted Poisson Process As An Overflow Process (1973)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Matrix-analytic methods in queuing theory (1984)Modeling and analysis of communication systems based on computational methods for Markov chains (1990)Real-Time Delay Estimation Based on Delay History (2008)Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Analysis of polling systems (1985)Polling Systems in Heavy Traffic: A Bessel Process Limit (1998)The Stochastic Economic Lot Scheduling Problem: Heavy Traffic Analysis of Dynamic Cyclic Policies (2000)Heavy Traffic Limits for Some Queueing Networks (2001)Applied Probability and Queues (1987)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Brownian Motion and Stochastic Calculus (2007)Service-Level Differentiation in Many-Server Service Systems via Queue-Ratio Routing (2009)Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems (2010)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Designing a Call Center with Impatient Customers (2002)Service-Level Differentiation in Call Centers with Fully Flexible Servers (2008)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)Queues with Many Servers and Impatient Customers (2012)Matrix-Geometric Solutions to Stochastic Models (1984)New results on the single server queue with a batch markovian arrival process (1991)Sampling at subexponential times, with queueing applications (1999)Analysis of a versatile batch-service queueing model with correlation in the arrival process (2013)Open problems in queueing theory inspired by datacenter computing (2021)Point Processes and Queues (1981)Limit Theorems for Stochastic Processes (1987)The Batch Markovian Arrival Process: A Review and Future Work (2001)Fundamentals of Matrix-Analytic Methods (2013)Risk theory in a Markovian environment (1989)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)The Markov-modulated Poisson process (MMPP) cookbook (1993)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)On the theory of general on-off sources with applications in high-speed networks (2002)
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References

  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues155 cited
  • 2009Queue-and-Idleness-Ratio Controls in Many-Server Service Systems148 cited
  • 2004Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments141 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1984The caudal characteristic curve of queues86 cited
  • 1995Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle84 cited
  • 1986The caudal characteristic curve of queues81 cited
  • 2009On a Data-Driven Method for Staffing Large Call Centers64 cited
  • 2009Responding to Unexpected Overloads in Large-Scale Service Systems51 cited
  • 2010Control of systems with flexible multi-server pools: a shadow routing approach48 cited
  • 1994Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue43 cited
  • 2011A Fluid Approximation for Service Systems Responding to Unexpected Overloads

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Cited by

  • 2012Overflow Networks: Approximations and Implications to Call Center Outsourcing28 cited
  • 2012A Fluid Limit for an Overloaded X Model via a Stochastic Averaging Principle25 cited