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EN
Optimal allocation of the reliability improvement target is essential for the system optimization design. In order to solve the problems that the optimization model is with loss of generality and the validity of the optimal solution is weakened, an optimal allocation method is proposed by considering multiple correlation failures and risk uncertainty in this paper. Two new concepts are presented, such as independent failure results in basic risk, and correlation failure leads to disturbance risk. A risk assessment machinery of “actual risk = basic risk + disturbance risk” is proposed. The action mechanisms of the three correlation failures are studied based on the cooperation game theory, and the generalized risk models are given under probability measure. Considering the improvement cost, the expectation and the variance of the reduction of system risk, a multi-objective optimal allocation model is developed, which is solved by using the PSO algorithm. Finally, the proposed optimal allocation is implemented at the 2-stage NGW planetary reducer, and the results show that it is more efficient and feasible for engineering practice.
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.
EN
Integrated general models of approximate approaches of complex multi-state series and parallel systems, linking their reliability and availability improvement models and their operation processes models caused changing reliability and safety structures and components reliability characteristics in different operations states, are constructed. These joint models are applied to determining improved reliability and availability characteristics of the considered multi-state series and parallel systems related to their varying in time operation processes. The conditional reliability characteristics of the multi-state systems with hot, cold single reservation of component and the conditional reliability characteristics of the multi-state systems with reduced rate of departure by a factor of system components are defined.
EN
The paper is composed of two parts, in this part the multi-state homogeneous „m out of n” systems with reserve components are defined and their multi-state limit reliability functions are determined. In order to improve of the reliability of these systems the following methods are used: (i) a warm duplication of components, (ii) a cold duplication of components, (iii) a mixed duplication of components, (iv) improving the reliability of components by reducing their failure rate. Next, the effects of the systems’ reliability different improvements are compared.
5
Content available remote Reliability improvement of large series-parallel systems
EN
The following excess methods of improving reliability of two-state series-parallel systems are presented: hot reserve, cold reserve and mixed (hot and cold) reserve of single components. There is also introduced the method of system reliability improving by replacing their components by more reliable ones. New theorems on two-state limit reliability functions of homogeneous and non-homogeneous series-parallel large systems composed of components with improved reliability are presented and applied to comparison the effects of these systems different reliability improving methods.
6
Content available remote Poprawianie niezawodności portowego systemu transportu towarów sypkich.
PL
W artykule zawarte są podstawowe pojęcia wielostanowej analizy niezawodności systemów niejednorodnych. Zdefiniowane zostały wielostanowe systemy szeregowe, szeregowe z rezerwą mieszaną pojedycznych elementów oraz systemy szeregowe z elementami o zredukowanej intensywności uszkodzeń. Dla tych systemów przy założeniu, że funkcje niezawodności ich elementów są wykładnicze, wyznaczone zostały podstawowe charakterystyki funkcyjne oraz liczbowe, a mianowicie wielostanowe funkcje niezawodności i ich graniczne postacie, średnie czasy i odchylenia standardowe przebywania systemów w podzbiorach stanów oraz ich średnie czasy przebywania w poszczególnych stanach. Następnie porównane zostały wielostanowe funkcje niezawodności oraz średnie czasy przebywania w poszczególnych stanach systemu szeregowego z rezerwą mieszaną pojedynczych elementów oraz systemu szeregowego z elementami o zredukowanej intensywności uszkodzeń. W wyniku tego porównania wyznaczona została wartość współczynnika redukującego intensywność uszkodzeń elementu, o który należy ją zmniejszyć, aby system z rezerwą mieszaną elementów i system bez rezerwy miały tę samą niezawodność. Przedstawiona została możliwość wykorzystania uzyskanego wyniku do podwyższenia niezawodności portowego systemu transportu towarów sypkich.
EN
In the paper basic notions of multistate reliability analysis of nonhomogeneous series systems are contained. Multistate series systems with mixed reserve of their components and multistate series systems composed of components with reduced failure rates are defined. For those systems, under the assumption that their components have exponential reliability function, basic functional and numerical characteristics are determined. Namely, multistate reliability functions and their limit forms, the mean values and standard deviation of the system lifetimes in state subsets and the mean values of sojourn times in particular states are fixed. Next, multistate reliability functions and the mean values of sojourn times in particular states for the series system with mixed reserve of its components and for the series system composed of components with decreasing failure rate factor have been compared. As a result of this comparison the value of decreasing failure rate factor, which warrants that the system with a mixed reserve and without reserve had the same multistate reliability function, has been determined. Moreover, the application of the achieved results to the reliability improving of the port grain transport system is presented as well.
7
Content available remote Optimization of preventive maintenance and information system
EN
The paper presents a method for determining the optimal interval for preventive maintenance/replacement using either an age related or a diagnostic related renewal strategy. Additionally, the authors rise the question: "How does preventive maintenance influence the probability of failure and the mean life-time of preventively maintained elements of a technical system?" They answer the question using analytical and simulation computing approaches to arrive at the solution. The results are in quantitative form. giving relationships between preventive maintenance intervals and survival probability functions and mean life-time characteristics. Examples demonstrate suitability of the method for typical engineering components with Weibull life distributions. Applications offer substantial benefits to both the manufacturer and the user of technical equipment.
8
Content available remote Podwyższanie niezawodności systemu wielostanowego komunikacji miejskiej.
PL
W artykule zawarte są podstawowe pojęcia wielostanowej analizy niezawodności systemów niejednorodnych. Zdefiniowane zostały wielostanowe systemy szeregowe, szeregowe z rezerwą gorącą pojedynczych elementów oraz systemy szeregowe z elementami o zredukowanej intensywności uszkodzeń. Dla tych systemów przy założeniu, że funkcje niezawodności ich elementów są wykładnicze, wyznaczone zostały podstawowe charakterystyki funkcyjne oraz liczbowe, a mianowicie wielostanowe funkcje niezawodności i ich graniczne postacie, średnie czasy i odchylenia standardowe przebywania systemów w podzbiorach stanów oraz ich średnie czasy przebywania w poszczególnych stanach. Następnie porównane zostały wielostanowe funkcje niezawodności oraz średnie czasy przebywania w poszczególnych stanach systemu szeregowego z rezerwą gorącą pojedynczych elementów oraz systemu szeregowego z elementami o zredukowanej intensywności uszkodzeń. W wyniku tego porównania wyznaczona została wartość współczynnnika redukującego intensywność uszkodzeń elementu, o który należy ją zmniejszyć, aby system z rezerwą gorącą elementów i system bez rezerwy miały tę samą niezawodność. Przedstawiona została możliwość wykorzystania uzyskanego wyniku do podwyższenia niezawodności systemu komunikacji miejskiej.
EN
In the paper basic notions of multistate reliability analysis of nonhomogeneous series systems are contained. Multistate series systems with hot reserve of their components and multistate series systems composed of components with reduced failure rates are defined. For those systems, under the assumption that their components have exponential reliability function, basic functional and numerical characteristics are determined. Namely, multistate reliability functions and their limit forms, the mean values and standard deviation of the system lifetimes in state subsets and the mean values of sojourn times in particular states are fixed. Next, multistate reliability functions and the mean values of sojourn times in particular states for the series system with hot reserve of its components and for the series system composed of components with decreasing failure rate factor have been compared. As a result of this comparison the value of decreasing failure rate factor, which warrants that the system with a hot reserve and without reserve had the same multistate reliability function, has been determined. Moreover, the application of the achieved results to the reliability improving of the city-municipal transport is presented as well.
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