Open AccessModelling customers’ impatience with discouraged arrival and retention of reneging
Author(s) -
Pallabi Medhi
Publication year - 2021
Publication title -
badania operacyjne i decyzje/operations research and decisions
Language(s) - English
Resource type - Journals
eISSN - 2081-8858
pISSN - 1230-1868
DOI - 10.37190/ord210304
Subject(s) - markovian arrival process , markov process , queueing theory , computer science , probability generating function , mathematical optimization , sensitivity (control systems) , markov chain , process (computing) , stochastic process , state (computer science) , mathematics , probability distribution , algorithm , statistics , computer network , engineering , probability mass function , electronic engineering , machine learning , operating system
This paper presents stochastic modelling of a single server, finite buffer Markovian queuing system with discouraged arrivals, balking, reneging, and retention of reneged customers. Markov process is used to derive the steady-state solution of the model. Closed form expressions using probability generating functions (PGFs) are derived and presented for both classical and novel performance measures. In addition, a sensitivity analysis is carried out to study the effect of the system parameters on performance measures. A numerical problem is also presented to demonstrate the derived results and some design aspects.