Semi-market mathematical model of radio electronic maintenance of anti-air missile arms
The paper presents a mathematical model of maintenance of electronic equipment for anti-aircraft missile weapons, which are operated according to a planned preventive operation strategy. The model is constructed using a semi-Markov random process. As a model of failures, a diffusion-nonmonotonic dis...
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| Format: | Article |
| Language: | English |
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Національний університет оборони України
2019-12-01
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| Series: | Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni |
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| Online Access: | http://sit.nuou.org.ua/article/view/188879 |
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| _version_ | 1849315531819057152 |
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| author | Volodymyr Mirnenko Serghij Kitik |
| author_facet | Volodymyr Mirnenko Serghij Kitik |
| author_sort | Volodymyr Mirnenko |
| collection | DOAJ |
| description | The paper presents a mathematical model of maintenance of electronic equipment for anti-aircraft missile weapons, which are operated according to a planned preventive operation strategy. The model is constructed using a semi-Markov random process. As a model of failures, a diffusion-nonmonotonic distribution law is used, which is typical for electronic products due to electrical phenomena, and errors of the first type are taken into account.
The analytical dependence of the technical utilization coefficient on the parameters of the scale and shape of the diffusion-nonmonotonic distribution, the frequency of maintenance, the duration of the complete restoration of the equipment sample, the probability of a failure signal is established. The graphs of the dependence of the technical utilization coefficient on the indicated model parameters are given. The existence of an optimal frequency of technical maintenance is proved, at which the maximum value of the coefficient of technical use is ensured. The main results were obtained using the numerical calculation method. |
| format | Article |
| id | doaj-art-773e4be30d9c4986bdd27ced52c674ad |
| institution | Kabale University |
| issn | 2311-7249 2410-7336 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | Національний університет оборони України |
| record_format | Article |
| series | Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni |
| spelling | doaj-art-773e4be30d9c4986bdd27ced52c674ad2025-08-20T03:52:07ZengНаціональний університет оборони УкраїниSučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni2311-72492410-73362019-12-01363293410.33099/2311-7249/2019-36-3-29-34188879Semi-market mathematical model of radio electronic maintenance of anti-air missile armsVolodymyr Mirnenko0Serghij Kitik1National Defense University of Ukraine named after Ivan ChernyakhovskyiNational Defense University of Ukraine named after Ivan ChernyakhovskyiThe paper presents a mathematical model of maintenance of electronic equipment for anti-aircraft missile weapons, which are operated according to a planned preventive operation strategy. The model is constructed using a semi-Markov random process. As a model of failures, a diffusion-nonmonotonic distribution law is used, which is typical for electronic products due to electrical phenomena, and errors of the first type are taken into account. The analytical dependence of the technical utilization coefficient on the parameters of the scale and shape of the diffusion-nonmonotonic distribution, the frequency of maintenance, the duration of the complete restoration of the equipment sample, the probability of a failure signal is established. The graphs of the dependence of the technical utilization coefficient on the indicated model parameters are given. The existence of an optimal frequency of technical maintenance is proved, at which the maximum value of the coefficient of technical use is ensured. The main results were obtained using the numerical calculation method.http://sit.nuou.org.ua/article/view/188879maintenancesemi-markov random processnon-monotonic diffusion distribution |
| spellingShingle | Volodymyr Mirnenko Serghij Kitik Semi-market mathematical model of radio electronic maintenance of anti-air missile arms Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni maintenance semi-markov random process non-monotonic diffusion distribution |
| title | Semi-market mathematical model of radio electronic maintenance of anti-air missile arms |
| title_full | Semi-market mathematical model of radio electronic maintenance of anti-air missile arms |
| title_fullStr | Semi-market mathematical model of radio electronic maintenance of anti-air missile arms |
| title_full_unstemmed | Semi-market mathematical model of radio electronic maintenance of anti-air missile arms |
| title_short | Semi-market mathematical model of radio electronic maintenance of anti-air missile arms |
| title_sort | semi market mathematical model of radio electronic maintenance of anti air missile arms |
| topic | maintenance semi-markov random process non-monotonic diffusion distribution |
| url | http://sit.nuou.org.ua/article/view/188879 |
| work_keys_str_mv | AT volodymyrmirnenko semimarketmathematicalmodelofradioelectronicmaintenanceofantiairmissilearms AT serghijkitik semimarketmathematicalmodelofradioelectronicmaintenanceofantiairmissilearms |