A Simple Tool for Solving Queuing Model with Erlang Distribution

Authors

  • R. Sakthi Department of Mathematics, SSE, Saveetha University, Chennai – 602 105, Tamil Nadu, India
  • V. Vidhya Department of Mathematics, SSE, Saveetha University, Chennai – 602 105, Tamil Nadu, India
  • T. Dhiki Department of Computer Science Engineering, SSE, Saveetha University, Chennai – 602 105, Tamil Nadu, India

DOI:

https://doi.org/10.51983/ajeat-2015.4.1.752

Abstract

In this paper we use the online tool to find the performance measures of the steady-state behavior of the queuing model where inter arrival and service times are Erlang distributions with parameters k and m respectively. The suggested tool has a simple graphical interface, based on a recently published simple recurrence method[1], it provides the performance measures of the queuing system (i.e., average number in the system, average waiting time, the system utilization, probability of loss, probability of waiting time), also the steady-state distribution of the system.

References

A. Brandwajn and T. Begin, "A recurrent solution of Ph/M/c/N-like and Ph/M/c-like queues," Journal of Applied Probability, vol. 49, no. 1, pp. 95-104, Mar. 2012.

M. Bostock and J. Heer, "Protovis: A graphical toolkit for visualization," IEEE Transactions on Visualization and Computer Graphics, vol. 15, no. 6, pp. 1121-1128, Nov. 2009.

Downloads

Published

16-02-2015

How to Cite

Sakthi, R., Vidhya, V., & Dhiki, T. (2015). A Simple Tool for Solving Queuing Model with Erlang Distribution. Asian Journal of Engineering and Applied Technology, 4(1), 5–7. https://doi.org/10.51983/ajeat-2015.4.1.752

Issue

Vol. 4 No. 1 (2015): January-June 2015

Section

Articles

License

Copyright (c) 2015 The Research Publication

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.