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A MAP/G/1 Queue with Negative Customers
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References

  • 1997Modelling Extremal Events4,397 cited
  • 1994Modelling of extremal events in insurance and finance3,519 cited
  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1987Introduction to Queueing Networks688 cited
  • 1991Product-form queueing networks with negative and positive customers512 cited
  • 1999Introduction to Stochastic Networks430 cited
  • 1980The N/G/1 queue and its detailed analysis286 cited
  • 1993G-networks by triggered customer movement256 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 1999QUEUEING NETWORKS- CUSTOMERS, SIGNALS, AND PRODUCT FORM SOLUTIONS186 cited
  • 2000G-networks: A versatile approach for work removal in queueing networks181 cited
  • 1991Queues with negative arrivals161 cited
  • 1994G-networks: a unifying model for neural and queueing networks154 cited
  • 1996A Pollaczek–Khintchine formula forM/G/1 queues with disasters124 cited
  • 1990Equilibrium distribution of block-structured Markov chains with repeating rows

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124 cited

Cited by

  • 2010Bibliography on G-networks, negative customers and applications46 cited
  • 2010Analysis of the finite source MAP/PH/N retrial G-queue operating in a random environment37 cited
  • 2010An initiative for a classified bibliography on G-networks28 cited
  • 2005Performance of two-stage tandem queues with blocking: The impact of several flows of signals26 cited
  • 2017A catastrophic queueing model with delayed action25 cited
  • 2014An M/G/1 G-queue with server breakdown, working vacations and vacation interruption24 cited
  • 2009On the BMAP/G/1 G-queues with second optional service and multiple vacations23 cited
  • 2008An MAP/G/1 G-queues with preemptive resume and multiple vacations18 cited
  • 2006The M/G/1 processor-sharing queue with disasters18 cited
  • 2007Heavy-tailed asymptotics for a fluid model driven by an queue17 cited
  • 2009A GI/Geo/1 queue with negative and positive customers17 cited