Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 11, Issue 3


Published
on


Pages

1692-1700


DOI

Article

Performance Analysis of M/M/1 Queuing Model


Authors

Prabhat Bansal* Affiliation:
Institute of Applied Sciences, Mangalayatan University, Aligarh, Uttar Pradesh, India
, Swati Agarwal Affiliation:
Institute of Applied Sciences, Mangalayatan University, Aligarh
and Anand Mandi Affiliation:
Faculty of Engineering & Applied Sciences, Usha Martin University, Ranchi, Jharkhand


Abstract

The poisson queuing model indicates the distribution of interval arrival time and services time is exponentially distributed based on the First-come First-serve (FCFS) and the Laplace transforms analyze the various probability generating function. Finally, the steady state solution investigated for the better performance and uses for queuing model on the basis of Kendall's notation.


Keywords

M/M/1 queuing model, Markovian process, Laplace transform, Exponential distribution, Poisson distribution and Probability generating function


Citation

Bansal, P., Agarwal, S., & Mandi, A. (2020). Performance analysis of M/M/1 queuing model. Turkish Journal of Computer and Mathematics Education, 11(3), 1692–1700.

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