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

Performance Measures of the M/M/C Queuing Model with Balking

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  • Jenifer G,
  • Julia Rose Mary K
Jenifer G
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 studies on M/M/C queuing system, in which the customers balk the queue due to the long waiting line or slower service. Customer arriving follows Poisson distribution. Service follows exponential distribution and there are multiple c servers. Balking is a phenomenon in queuing theory where a customer decides not to join a queue or abandons a queue due to its length or waiting time. The effects of balking have reduced queue length, decreased waiting times, and increased customer satisfaction. For the considered model steady state solutions and expected waiting time are derived.

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Keywords

  • Arrival,
  • Poisson distribution,
  • C Servers,
  • Exponential Distribution,
  • Balking,
  • Expected Waiting Time
    • ...More
    Less

References

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DOI: https://doi.org/10.34256/ijohs121

Published 2024-11-05

How to Cite

G, J., & K, J. R. M. (2024). Performance Measures of the M/M/C Queuing Model with Balking. International Journal of Humanities and Sciences, 1(2), 1–5. https://doi.org/10.34256/ijohs121

Copyright (c) 2024 Jenifer G, Julia Rose Mary K

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