Open AccessVariant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
Author(s) -
Amina Angelika Bouchentouf,
Mohamed Boualem,
Mouloud Cherfaoui,
Latifa Medjahri
Publication year - 2021
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor2100003b
Subject(s) - queue , bernoulli's principle , computer science , probability generating function , queueing theory , queueing system , markov process , state (computer science) , order (exchange) , mathematical optimization , real time computing , mathematics , computer network , probability distribution , algorithm , statistics , economics , physics , moment generating function , finance , thermodynamics
We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server's states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system.