Reliability of mission-based k-out-of-n systems with exponential phase durations and component lifetimes

Abstract

This paper focuses on the reliability analysis of [Formula: see text]-out-of-[Formula: see text] systems which are designed to perform a given mission consisting of several distinct phases. As the phases of the mission change, the reliability characteristics of the system and the system structure vary accordingly. The phase transition probabilities, phase durations, and component failure rates are dependent on the number of operating components. Moreover, the system is allowed to have cold, warm, or hot standby components. We propose computationally tractable methods to compute the system reliability, mean time to failure, and long-run availability for such a general system structure. We also provide a numerical analysis to show the applicability and the empirical computational complexity of the proposed methods.

Performance Modeling and Estimation of Serial System Exhibiting k-out-of-n: G Scheme with Controller Failure

“…Hu et al [8] modeled and assessed reliability for uncertain random cold standby k-out-of-m+n: G systems with uncertain parameters based on the system's uncertainty. Cekay [2] focused on the reliability of k-out-of-n systems that are created to carry out a certain task that consists of numerous separate phases. Eryilmaz and Devrim [3,4] investigated reliability and ideal replacement strategy for a k-out-of-n system subject to random shocks.…”

Redundancy allocation optimization for multi-state system with hierarchical performance requirements

“…The k -out-of- n system structure is a very popular type of redundancy in fault-tolerant systems and has wide applications in both industry and military systems. 6 Two generic types of generalized multi-state models are yielded from binary k -out-of- n systems. The first type is the component-based system, that is, multi-state k -out-of- n system, accounts for the number of system components being in certain states.…”