Performance Analysis of Machine Repair System with Balking, Reneging, Multiple Working Vacations and Two Removable Servers Operating under the Triadic (0,Q,N,M) Policy

Abstract

The main purpose of this paper is to investigate the performance analysis of  machine repair problem with impatient customers. A population size of  operating machines is considered and the failed machines are assumed to be repaired under the multiple working vacations and triadic  policy. As soon as the system becomes empty, both servers leave for working vacations wherein only one of the two servers provide a service during the vacation. Steady state probabilities that describe the number of failed machines in system are derived and taken in closed form. Different performance measures of the system are developed and analysed with numerical illustrations to investigate the reliability of the model.

Keywords: machine repair problem, multiple working vacations, triadic  Policy, balking, reneging, steady state probability

DOI: 10.7176/ISDE/11-4-03

Publication date:August 31^st 2020