Title: A repairable M[X]/Gk/1 feedback retrial G-queue, balking and reneging, search of customers with vacation

Authors: J. Radha; K. Indhira; V.M. Chandrasekaran

Addresses: School of Advanced Sciences, VIT, Vellore-14, India ' School of Advanced Sciences, VIT, Vellore-14, India ' School of Advanced Sciences, VIT, Vellore-14, India

Abstract: This paper deals with the steady state analysis of unreliable batch arrival feedback retrial queue with k stages of service and Bernoulli vacation policy, where the busy server is subjected to breakdown due to the arrival of negative customers. After completion of the ith, (i = 1, 2, ..., k) stage of service, the customer may have the option to choose (i + 1)th stage with probability θi, with probability pi may join into orbit as feedback customer or may leave the system with probability 1 − θipi = qi, if the service is successful. The server takes Bernoulli vacation after the service completion. Arriving positive customers may balk (or renege) the system at particular times. After completion of the service, vacation or repair, the server searches for the customer in the orbit or remains idle. The system is solved by using the supplementary variable method and numerical illustrations are discussed.

Keywords: Bernoulli vacation; feedback; retrial; balking; reneging; negative customer; k stage service; orbital search.

DOI: 10.1504/IJKMTH.2017.089786

International Journal of Knowledge Management in Tourism and Hospitality, 2017 Vol.1 No.4, pp.457 - 476

Received: 21 Jun 2017
Accepted: 19 Nov 2017

Published online: 09 Feb 2018 *

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