Reliability and Availability Analysis of Complex Port Transportation Systems

Abstract

A semi-Markov model of a system operation process is proposed and its selected parameters are determined. A series-parallel multi-state system is considered and its reliability and risk characteristics are found. Next, the joint model of the system operation process and the system multi-state reliability and risk is constructed. Finally, the asymptotic approach to reliability, availability and risk evaluation of the multi-state series-parallel system in its operation process is applied to the port grain transportation system.

Reliability and maintenance strategy for systems with aging‐dependent components

“…Under these assumptions, we can determine the basic characteristics of the repairable system with the time of renovation ignored, such as the expected values and the variances of the times until the successive times that the reliability critical state is exceeded and the expected values and the variances of the numbers of times that the reliability critical state is exceeded at a certain time point.Proposition If T (1) ( r ), T (2) ( r ),…, T ( N ) ( r ) are independent random variables from the same distribution with expected value μ ( r ) and standard deviation σ ( r ) ≠ 0, then the variable S ( N ) ( r ) representing the time until the Nth time the system exceeds the reliability critical state r , has, for sufficiently large N , an approximately normal distribution with the expected value and the variance, respectively, given by the following: …”

“…Proposition If T (1) ( r ), T (2) ( r ),…, T ( N ) ( r ) are independent random variables from the same distribution with expected value μ ( r ) and standard deviation σ ( r ) ≠ 0, then the number N ( t , r ) of times the system exceeds the reliability critical state r up to the time point t , t ≥ 0, has, for sufficiently large t , an approximately normal distribution with the expected value and the variance, respectively, given by the following: …”

On safety analysis of complex technical maritime transportation systems

“…If the critical safety state is r = 2, then the distribution function of time up to exceedance of this critical reliability state by the system, according to equation (11), is given by …”

“…4. The navigational subsystem S 1 is composed of one general component E (1) 11 . The propulsion and controlling subsystem S 2 is composed of (a) subsystem S 21 , which consists of four main engines E (2) 11 , E (2) 12 , E (2) 13 , E (2) 14 ; (b) subsystem S 22 , which consists of three thrusters E (2) 21 , E (2) 22 , E (2) 31 ; (c) subsystem S 23 , which consists of twin pitch propellers E (2) 41 , E (2) 51 ; (d) subsystem S 24 , which consists of twin directional rudders E (2) 61 , E (2) 7:1 :…”

Knowledge‐based reliability assessments for time‐varying climates

“…Den Ouden et al 7 focused on the problem associated with failing to capture a failure mode. In areas where these mechanisms are better understood, testing can be integrated to evaluate reliability at a system level [8][9][10] . Still others have focused on how to optimize the design of these tests [11][12][13] , or how to make design evaluations robust 14 .…”