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On the M/M/1 Queue with Catastrophes and Its Continuous Approximation
3 references·16 citing·34 second hop
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this work references cited by second hop

References

  • 1996Handbook of Brownian Motion — Facts and Formulae1,391 cited
  • 1994Stochastic Models in Queueing Theory.351 cited
  • 2000Transient solution of an M/M/1 queue with catastrophes128 cited

Cited by

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  • 2011A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation67 cited
  • 2007Transient analysis of a single server queue with catastrophes, failures and repairs62 cited
  • 2014On truncations for weakly ergodic inhomogeneous birth and death processes48 cited
  • 2010Bibliography on G-networks, negative customers and applications46 cited
  • 2011The M/M/1 queue with synchronized abandonments44 cited
  • 2014On some time non-homogeneous queueing systems with catastrophes35 cited
  • 2018A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation34 cited
  • 2022Mitigating long queues and waiting times with service resetting34 cited
  • 2011The Single Server Queue with Catastrophes and Geometric Reneging32 cited
  • 2011Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes32 cited

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2015
Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes
31 cited
  • 2010An initiative for a classified bibliography on G-networks28 cited
  • 2007The Batch Markovian Arrival Process Subject to Renewal Generated Geometric Catastrophes26 cited
  • 2015AnMX/G/1 queueing system with disasters and repairs under a multiple adapted vacation policy25 cited
  • 2018Fractional Queues with Catastrophes and Their Transient Behaviour24 cited