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EN
In the paper the basic notions of the ageing multistate systems reliability analysis are introduced. The multistate system reliability functions are defined and the mean values of the multistate system lifetimes in the reliability state subsets and in the particular reliability states are determined. The notion of the multistate system risk function and the moment of the system exceeding the critical reliability state are introduced. Further, in the developed reliability models, it is assumed that the system’s components have the multistate Weibull reliability functions with various parameters in their different reliability state subsets. Under this assumption, the proposed multistate system reliability models are applied in maritime transport to the reliability analysis of a bulk cargo transportation system and its reliability function, moreover other main characteristics are determined.
2
EN
The combination of the results on the reliability of complex multi-state systems related to their operation processes and the results concerning the limit reliability functions of the multistate systems is proposed, to obtain the results on the asymptotic approach to the evaluation of the large complex multi-state systems reliability at the variable operation conditions. The asymptotic approach to the large complex system reliability evaluation and the large complex system limit reliability function are defined. Limit reliability functions of selected large complex systems composed of components having Weibull reliability functions are fixed. The way of using this results is illustrated by their application to the evaluation of reliability characteristics of the large complex port grain transportation subsystem composed of three large multistate non-homogeneous series systems and changing its reliability structure and its components reliability parameters at variable operation conditions.
EN
The procedures of defining the parameters of the availability of the multistate systems in variable operation conditions are shown. Furthermore, the renewal and availability characteristics of the complex technical system are defined. The computer program for prediction of these characteristics capabilities with description are presented. As the application of this computer program, the prediction the renewal ad availability characteristics of the exemplary complex technical system is shown.
EN
The paper deals with analysis of ships operation states in open water areas effected by environmental constraints influencing on ship sea keeping parameters in application to “Stena Baltica” ferry operated at the Baltic Sea between Gdynia and Karlskrona harbors.
EN
The paper is concerned with mathematical methods in asymptotic approach to systems reliability analysis. The complexity of the reliability investigation of large-scale systems is proposed to be approximately solved by assuming that the number of system components tends to infinity and finding the limit reliability function of the system. Some general results in the form of auxiliary theorems and examples of limit reliability functions of homogeneous and regular series-“m out of k” systems with exponential and Weibull reliability functions of system components are presented.
6
Content available Reliability modelling of complex systems. Part 2
EN
Series-“m out of n” systems and “m out of n”-series systems are defined and exemplary theorems on their limit reliability functions are presented and applied to the reliability evaluation of a piping transportation system and a rope elevator. Applications of the asymptotic approach in large series systems reliability improvement are also presented. The paper is completed by showing the possibility of applying the asymptotic approach to the reliability analysis of large systems placed in their variable operation processes. In this scope, the asymptotic approach to reliability evaluation for a port grain transportation system related to its operation process is performed.
7
Content available Reliability modelling of complex systems. Part 1
EN
The paper is concerned with the application of limit reliability functions to the reliability evaluation of large systems. Two-state large non-repaired systems composed of independent components are considered. The asymptotic approach to the system reliability investigation and the system limit reliability function are defined. Two-state homogeneous series, parallel and series-parallel systems are defined and their exact reliability functions are determined. The classes of limit reliability functions of these systems are presented. The results of the investigation concerned with domains of attraction for the limit reliability functions of the considered systems and the investigation concerned with the reliability of large hierarchical systems as well are discussed in the paper. The paper contains exemplary applications of the presented facts to the reliability evaluation of large technical systems.
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