The M/M/1/N Queuing System with Controllable and Encouraged Arrival Rates

Authors

  • Premalatha S. Cauvery College for Women, Trichy-18, India.
  • Sasikala S. Cauvery College for Women, Trichy-18, India.
  • Priyadharshini M. Cauvery College for Women, Trichy-18, India.

DOI:

https://doi.org/10.9734/bpi/rumcs/v9/8551E

Keywords:

Encouraged arrivals, steady state solution, single server, controllable arrival rates, bivariate Poisson process

Abstract

In this paper, an M/M/1/N a single server finite capacity Markovian queuing model, encouraged arrivals with controllable arrival rate is considered. The term encouraged arrivals emerged from situation that a system experiences after release of offers and discounts by firms. Encouraged arrival is a new addition to existing customer behaviour in queuing theory. The steady state solutions of system size are derived explicitly. The analytical results are numerically illustrated and relevant conclusions are presented.

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Published

2024-06-17

How to Cite

Premalatha S., Sasikala S., & Priyadharshini M. (2024). The M/M/1/N Queuing System with Controllable and Encouraged Arrival Rates. Research Updates in Mathematics and Computer Science Vol. 9, 17–26. https://doi.org/10.9734/bpi/rumcs/v9/8551E

Issue

Research Updates in Mathematics and Computer Science Vol. 9

Section

Chapters