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1
Content available Comprehensive model of operation process of complex technical system designed for simulation purposes
Malinowski Jacek
Safety and Reliability of Systems and Processes
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2021
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Summer Safety and Reliability Seminar 2021
293--304
EN
In this chapter the author presents a comprehensive model of a multi-component technical system aimed at simulating and optimizing its operation process. Among other things, the model postulates load-related dependencies between the system’s components and delayed repairs or replacements scheduled according to the components’ priorities, where delays result from limited maintenance personnel. During the last several decades researchers in the field of reliability theory constructed various maintenance models, more or less applicable to real systems. Many authors follow purely analytical approach which, due to restrictive assumptions adopted for the purpose of analytical tractability, results in limited applicability of the considered models. These assumptions include: mutually independent components, exponentially distributed time-to-failure and time-to-repair, repairs started immediately after failures or carried out in negligible time, etc. The model proposed here does not impose such limitations, because it is designed to use simulation rather than analytical methods for computing purposes. The following assumptions bring the model closer to reality in comparison with its counterparts from the literature: 1) components are mutually dependent, i.e. a component’s failure rate can depend of the states of some other components 2) after a repair a component can be “as good as new”, “as good as used” or “as good as old” (perfect, imperfect, or minimal repair) 3) if maintenance personnel is busy, newly failed components await repair in a priority queue, 4) the state of a component may be hidden and its failure can only be revealed by inspection. The chapter’s main result is a quite elaborate algorithm simulating the modeled system’s behavior over time. Examples are given how, based on the proposed model and the adopted maintenance policy, selected reliability-related parameters can be optimized by repeated simulation. Although computationally intensive, the simulation approach allows to find performance and reliability characteristics for systems whose complexity or way of functioning rule out the application of analytical methods.
2
Content available Reliability of the exemplary multistate series system with dependent components
Blokus-Roszkowska A., Kołowrocki K.
Journal of Polish Safety and Reliability Association
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2015
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Vol. 6, No. 1
37--46
EN
In the paper a multistate approach to reliability analysis of series systems with dependent components according to the local load sharing rule is proposed. As a particular case, the reliability function of a multistate series system composed of dependent components having exponential reliability functions is determined. The mean values and standard deviations of the multistate system lifetimes in the reliability state subsets and the mean values of its lifetimes in the particular reliability states are determined. Application of the proposed model of components’ dependency to the reliability analysis of the exemplary system is presented. The exemplary system risk function and the moment of exceeding by the system the critical reliability state are given.
3
Content available Reliability analysis of multistate series systems with dependent components
Blokus-Roszkowska A., Kołowrocki K.
Journal of Polish Safety and Reliability Association
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2015
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Vol. 6, No. 1
31--36
EN
In the paper an approach to the reliability analysis of multistate series systems assuming their components dependency according to the local load sharing rule is presented. There is introduced the local load sharing model of components dependency (of departures from the reliability states subsets) and the reliability function of a multistate series system with dependent components is determined. These results are also presented in case system components have exponential reliability functions and in this case basic reliability characteristics are given.
4
Content available The model of non-renewal reliability systems with dependent time lengths of components
Grabski F., Załęska-Fornal A.
Journal of Polish Safety and Reliability Association
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2007
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Vol. 1
151--156
EN
The models of the non-renewal reliability systems with dependent times to failure of components are presented. The dependence arises from some common environmental stresses and shocks. It is assumed that the failure occurs only because of two independent sources common for two neighbour components. The reliability function of series and parallel systems with components depending on common sources are computed. The reliability functions of the systems with dependent and independent life lengths of components are compared.
5
Content available remote The models of non-renewal reliability systems with dependent lengths of components
Grabski F., Załęska-Fornal A.
Journal of KONBiN
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2006
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No. 2
391--398
EN
In that paper there are presented the models of the non-renewal reliability systems with dependent times to failure of components. Their dependence follows from some common sources of shocks existing in the environment. It is assumed that the failure occurs only because of two independent sources common for two neighbour components. The series and parallel system with such dependent components are considered in that paper.
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