Statistical properties of a system reliability estimator using the Littlewood software reliability model

Abstract

This paper considers a competing risks system withppieces of software where each piece follows the model by Littlewood (1980) described as follows. The failure rate of a piece of software relies on the residual number of bugs remaining in the software where each bug produces failures at varying rates. In effect, bugs with higher failure rates tend to be observed earlier in the testing period. Tasks are assigned to the system and the task completion times as well as the software failure times are assumed to be independent of each other. The system is observed over a fixed testing period and the system reliability upon test termination is examined. An estimator of the system reliability is presented and its asymptotic properties as well as finite-sample properties are obtained.

A Stochastic Breakdown Model for an Unreliable Web Server System and an Optimal Admission Control Policy

“…, Mi (2002), Ling and Mi (2004), and Agustin (2003)). In this paper we proposed and considered another new topic in the field: the problem of determining the optimal admission control policy which maximizes the efficiency of the Web server.…”

“…Boland and Ni Chuív (2007) and Barghout (2010) studied software reliability models with imperfect repair/debugging. A list of several related papers also includes Singpurwalla (1991), , , and Agustin (2003). The topic in this study will also extend the range of research in this field (research on computer and computer-related systems) to a new challenging direction.…”