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An Algorithm to Compute the Waiting Time Distribution for the M/G/1 Queue
10 references·7 citing·35 second hop
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References

  • 1997Modelling Extremal Events4,397 cited
  • 1994Modelling of extremal events in insurance and finance3,519 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1999A Practical Guide to Heavy Tails: Statistical Techniques and Applications639 cited
  • 1985Fundamentals of queueing theory (2nd ed.).603 cited
  • 1999Fundamentals of Queueing Theory584 cited
  • 1999Appendix: A primer on heavy-tailed distributions141 cited
  • 1997Long-lasting transient conditions in simulations with heavy-tailed workloads112 cited
  • 1994The transient BMAP/G/l queue101 cited
  • 1999The Importance of Power-Tail Distributions for Modeling Queueing Systems84 cited

Cited by

  • 2014Production-Inventory Systems with Lost Sales and Compound Poisson Demands51 cited
  • 2010Bayesian inference for double Pareto lognormal queues32 cited
  • 2007Exact waiting time and queue size distributions for equilibrium M/G/1 queues with Pareto service27 cited
  • 2022Convexification of Queueing Formulas by Mixed-Integer Second-Order Cone Programming: An Application to a Discrete Location Problem with Congestion23 cited
  • 2008Bayesian Analysis of a Queueing System with a Long-Tailed Arrival Process

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22 cited
  • 2015A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: $$ GI ^{[X]}/C$$ G I [ X ] / C - $$ MSP /1/\infty $$ M S P / 1 / ∞21 cited
  • 2020Analytical and computational studies of the BMAP/G(a,Y)/1 queue18 cited