Markovian Erlang Non-Constricted Single-Channel with Encouraged Arrival in Steady State with Balking, Feedback Strategy, and Customer Retention

Authors

  • Ismailkhan Enayathulla Khan Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, India
  • Rajendran Paramasivam Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, India https://orcid.org/0000-0003-3694-2190

DOI:

https://doi.org/10.37256/cm.4420232964

Keywords:

encouraged arrival, balking, non-constricted, feedback strategy, iterative technique

Abstract

In this article, we aim to provide a solution for the Markovian Erlang non-constricted queue that takes into account encouraged arrival, balking feedback strategy, and customer retention, all in a steady state. Our approach involved using an iterative technique to determine the probability of “n” customers in the system occupying stage “s”, the probability of an empty system, and the efficiency of the queuing system. To illustrate the relationship between probability and these additional concepts, we present numerical data.

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Published

2023-10-25

Issue

Contemporary Mathematics, Volume 4 Issue 4 (2023), 620-1346

Section

Research Article

How to Cite

1.
Markovian Erlang Non-Constricted Single-Channel with Encouraged Arrival in Steady State with Balking, Feedback Strategy, and Customer Retention. Contemp. Math. [Internet]. 2023 Oct. 25 [cited 2025 Dec. 24];4(4):769-81. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2964