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

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 31st 202

A survey of the machine interference problem

This paper surveys the research published on the machine interference problem since the 1985 review by Stecke & Aronson. After introducing the basic model, we discuss the literature along several dimensions. We then note how research has evolved since the 1985 review, including a trend towards the modelling of stochastic (rather than deterministic) systems and the corresponding use of more advanced queuing methods for analysis. We conclude with some suggestions for areas holding particular promise for future studies.Natural Sciences and Engineering Research Council (NSERC) Discovery Grant 238294-200

Stochastic Processes with Applications

Stochastic processes have wide relevance in mathematics both for theoretical aspects and for their numerous real-world applications in various domains. They represent a very active research field which is attracting the growing interest of scientists from a range of disciplines.This Special Issue aims to present a collection of current contributions concerning various topics related to stochastic processes and their applications. In particular, the focus here is on applications of stochastic processes as models of dynamic phenomena in research areas certain to be of interest, such as economics, statistical physics, queuing theory, biology, theoretical neurobiology, and reliability theory. Various contributions dealing with theoretical issues on stochastic processes are also included

The Whitworthian 2007-2008

The Whitworthian student newspaper, September 2007-April 2008.https://digitalcommons.whitworth.edu/whitworthian/1092/thumbnail.jp