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Transient solution of fractional M/M/c queue

Author

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  • N. Sujatha
  • G.V.S.R. Deekshitulu

Abstract

In queuing models, sometimes the server may not work with full efficiency or may stop working also. Such problems are modelled with the help of fractional differential equations. Differential-difference equations involving fractional derivatives in the sense of Mittag-Leffler function have been employed to model the problems with partial activity of the server. In this paper, transient analysis of fractional M/M/c queue has been carried out analytically and results are obtained using MATLAB. The validity and efficiency of the above model is demonstrated with a numerical example. The results obtained by this new approach are justified by comparing them with solutions of classical queue which are available in the literature.

Suggested Citation

  • N. Sujatha & G.V.S.R. Deekshitulu, 2023. "Transient solution of fractional M/M/c queue," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 26(2), pages 170-181.
    • Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:170-181
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