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Heavy-traffic limits for many-server queues with service interruptions
16 references·11 citing·34 second hop
Heavy-traffic limits for many-server queues with service interruptions (2009)Heavy-traffic limits for many-server queu…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…Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Analysis of customers’ impatience in queues with server vacations (2006)Analysis of customers’ impati…Theory of Stochastic Differential Equations with Jumps and Applications: Mathematical and Analytical Techniques with Applications to Engineering (2005)Theory of Stochastic Differen…Theory of Stochastic Differential Equations with Jumps and Applications (2005)Theory of Stochastic Differen…Stochastic Integration and Differential Equations. Second Edition. 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this work references cited by second hop

References

  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 2003Financial Modelling with Jump Processes3,217 cited
  • 1991Brownian motion and stochastic calculus2,089 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2002Designing a Call Center with Impatient Customers576 cited
  • 2004Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule326 cited
  • 2005Stochastic Integration and Differential Equations. Second Edition.306 cited
  • 1958Queuing with Preemptive Priorities or with Breakdown265 cited
  • 1968A Many-Server Queue with Service Interruptions211 cited
  • 2005Theory of Stochastic Differential Equations with Jumps and Applications: Mathematical and Analytical Techniques with Applications to Engineering200 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
  • 2006Analysis of customers’ impatience in queues with server vacations178 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues155 cited
  • 2005Theory of Stochastic Differential Equations with Jumps and Applications

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153 cited
  • 2004Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments141 cited
  • Cited by

    • 2009Service Interruptions in Large-Scale Service Systems36 cited
    • 2017Approximations for the Queue Length Distributions of Time-Varying Many-Server Queues29 cited
    • 2019Ergodicity of a Lévy-driven SDE arising from multiclass many-server queues28 cited
    • 2018Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes18 cited
    • 2012Critically Loaded Time-Varying Multiserver Queues: Computational Challenges and Approximations18 cited
    • 2022Applications of fluid models in service operations management17 cited
    • 2011Heavy-traffic limits for nearly deterministic queues: stationary distributions16 cited
    • 2016Heavy-traffic limits for an infinite-server fork–join queueing system with dependent and disruptive services15 cited
    • 2021Performance Analysis Of Two Heterogeneous Server Queuing Model with Intermittently Obtainable Server Using Matrix Geometric Method14 cited
    • 2010Continuity of a queueing integral representation in the M1 topology14 cited
    • 2010Continuity of a queueing integral representation in the M1 topology12 cited