A heuristic technique for the transient behavior of Markovian queueing systems

Authors:
Emily Roth
Affiliations:
GTE Laboratories Incorporated, Economics, Operations Research and Statistics Department, 40 Sylvan Road, Waltham, MA 02254, USA
Venue:
Operations Research Letters
Year:
1985

Citing 1
Cited 0

Use of Polya distributions in approximate solutions to nonstationary M/M/s queues

Communications of the ACM - Special issue on simulation modeling and statistical computing

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Abstract

Through an examination of numerical solutions to Markovian queueing systems, it has been shown that the expected queue length eventually approaches its equilibrium value in an approximately exponential manner. Based on this observation a heuristic is proposed for approximating the transient expected queue length for Markovian systems by scaling the numerical solution of an M/M/1 system.