Vol. 1 No. 2 (2024): Volume 1, Issue 2, Year 2024
Articles

Analysis of M/M/C Queuing Model with Encouraged Arrival

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  • Cruz Esther A,
  • Julia Rose Mary K
Cruz Esther A
Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India.
Julia Rose Mary K
Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India.

Abstract

This paper investigates the M\M\C queuing system with encouraged arrival where the arrival rate increases as the number of customer in the system grows. Encouraged arrival refers to a situation where the arrival rate of customers, increase due to various reasons like discount, seasonal sale etc., Encouraged arrival follows poisson distribution and service follows exponential distribution. There are ‘C’ servers available in the system. In online forums and communities encouraged arrival occurs with increased user participation. Also in retail shops store promotions, discounts result in encouraged arrivals. As per the recent trend in this paper we analyze the steady-state behaviour of the existing system of M\M\C queue with encouraged arrival using steady-state equations and derive key performance metrics such as length and waiting time of the queue and system.

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Keywords

  • Encouraged arrival,
  • Poisson distribution,
  • Multiservers,
  • Exponential distribution,
  • Mean Queue Length

References

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DOI: https://doi.org/10.34256/ijohs124

Published 2024-11-13

How to Cite

A, C. E., & K, J. R. M. (2024). Analysis of M/M/C Queuing Model with Encouraged Arrival. International Journal of Humanities and Sciences, 1(2), 33–38. https://doi.org/10.34256/ijohs124

Copyright (c) 2024 Cruz Esther A, Julia Rose Mary K

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