Open AccessA single server Markovian queuing system with limited buffer and reverse balking
Author(s) -
Girin Saikia,
Amit Choudhury
Publication year - 2021
Publication title -
independent journal of management and production
Language(s) - English
Resource type - Journals
ISSN - 2236-269X
DOI - 10.14807/ijmp.v12i7.1471
Subject(s) - computer science , queueing theory , investment (military) , business , markov process , queue management system , operations research , industrial organization , computer network , mathematics , statistics , politics , law , political science
The phenomena are balking can be said to have been observed when a customer who has arrived into queuing system decides not to join it. Reverse balking is a particular type of balking wherein the probability that a customer will balk goes down as the system size goes up and vice versa. Such behavior can be observed in investment firms (insurance company, Mutual Fund Company, banks etc.). As the number of customers in the firm goes up, it creates trust among potential investors. Fewer customers would like to balk as the number of customers goes up. In this paper, we develop an M/M/1/k queuing system with reverse balking. The steady-state probabilities of the model are obtained and closed forms of expression of a number of performance measures are derived.