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Original Articles

Two Sample-Path Inequalities For G/G/K Queues

Pages 136-144 | Received 01 Jul 1981, Published online: 25 May 2016

References

  • J. Kiefer and J. Wolfowicz, “On the theory of queues with many servers,” Trans. Amer. Math. Soc, 78, 1955, 1–18.
  • S.L. Kingman, “Some inequalities for parallel server queues,” Operations Research, 19, 1962, 402–13,
  • R.J. Louiou, “Multi-channel queues in heavy traffic,” Journal of Applied Probability, 10, 1973, 760–77.
  • R.M. Loynes, “The stability of a queue with non-independent interarrival and service times,” Proc. Camb, Phil. Soc, 58, 1962, 494–520.
  • W.G. Marchal, “Somesimple bounds and approximations in queueing,” Report T-294, the George Washington University Program in Logistics, Washington, DC, 1974,
  • R, Piater, “The G/G/2 queue: cyclic vs. FIFS service order,” Ms thesis, the University of British Columbia, Vancouver, BC, 1975.
  • W. Whitt, “Weak convergence theorems for queues in heavy traffic,” Technical Report No. 2, Department of Operations Research, Stanford University, September 1968.
  • W. Whitt, “On stochastic bounds for the delay distribution in the GI/G/s queue,” Working Paper, Bell Laboratories, March 1980.
  • R.W, Wolff, “An upper bound for multi-channel queues,” Journal of Applied Probability, 14, 1977, 884–8.

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