Abstract
A proposed optimization model deals with the problem of reserves for the functional components-parts of mechanism in order to increase its reliability. The following factors are taken into consideration: the probability of the failure-free run of a part without a reserve, the probability of the failure-free run of a part with a reserve, the mean value of losses caused by the part’s malfunction without a reserve, the mean value of losses caused by the part’s malfunction with a reserve, costs of the purchase and maintenance of the reserve for the given parts. The values of these parts’ failure probabilities are supposed to be known in advance, the losses caused by this failure are estimated. Statistical independence of the failures of those parts is supposed. In the model, the costs of the parts’ doubling are supposed to be limited to a fixed value. As a result of the problem solution, the parts of the model are sorted into two groups: the parts which are to be doubled and the parts which are not. The static model as well as the dynamic one, in which the failures are considered as Poisson events are described and numerical examples included.
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Acknowledgments
This research was supported by the Czech Science Foundation Grant No. GACR P403/12/1947 and the project F4/11/2013 founded by the Internal Grant Agency of the University of Economics, Prague. Acknowledgments for ass. Prof. Jiří Henzler for his help with problem solving and preparing article.
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Pelikán, J., Fábry, J. Double system parts optimization: static and dynamic model. Cent Eur J Oper Res 23, 115–123 (2015). https://doi.org/10.1007/s10100-013-0306-7
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DOI: https://doi.org/10.1007/s10100-013-0306-7