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EN
The model of system operation total cost during the fixed operation time is introduced and the procedure of its minimization is presented. The model of system safety impacted by operation process is introduced and the procedure of its safety maximization is proposed. To analyse jointly the system operation cost and safety optimization, we propose the procedure of determining the optimal values of limit transient probabilities of the system operation process at the particular operation states that allows to find the minimal operation total cost during the fixed operation time, through applying the created system general operation cost model in the fixed operation time and linear programming. Next, to find the system conditional safety indicators, corresponding to this system minimal total operation cost during the fixed operation time, we replace the limit transient probabilities in particular operation states, existing in the formula for the system safety function coordinates, by their optimal values existing in the formula for the system minimal total cost during the fixed operation time. Further, applying this formula for the system conditional safety function coordinates, related to the system minimal operation total cost during the fixed operation time, we find the remaining system conditional safety indicators. The created models are applied to the maritime ferry technical system to minimize the mean value of the system operation total cost during the fixed operation time of one month and to maximize its safety indicators. After that, the ferry technical system safety indicators corresponding to its minimal mean value of operation total cost are found. The evaluation of results achieved is performed and the perspective for future research in the field of the complex systems including critical infrastructures operation costs and safety joint analysis and optimization is given.
2
EN
The method that can be used in critical infrastructure safety optimization is shown and adapted to the ferry technical system. The optimal values of the operation process, safety and resilience indicators are determined for the maritime ferry technical system. Practical suggestions on reorganizing the operation process of this member of a shipping critical infrastructure to maximize its lifetime in the safety states not worse than the critical safety state are proposed.
EN
The material given in this paper delivers the procedure for numerical approach that allows finding the main practically important safety characteristics of the complex technical systems at the variable operation conditions including operating environment threats. The obtained results are applied to the safety evaluation of the maritime ferry technical system. It is assumed that the conditional safety functions are different at various operation states and have the exponential forms. Using the procedure and the program written in Mathematica, the considered maritime ferry technical system main characteristics including: the conditional and the unconditional expected values and standard deviations of the system lifetimes, the unconditional safety function and the risk function are determined.
PL
W pracy przedstawiono procedurę dla podejścia numerycznego, która umożliwia znalezienie głównych charakterystyk bezpieczeństwa złożonych systemów technicznych pracujących w zmiennych warunkach eksploatacji, wraz z uwzględnieniem wpływu zagrożeń środowiska eksploatacyjnego. Uzyskane wyniki zostały zastosowane do oceny bezpieczeństwa technicznego systemu promu morskiego. Zakłada się wykładnicze warunkowe funkcje bezpieczeństwa, różne w różnych stanach eksploatacyjnych. Stosując powyższą procedurę dla danego systemu oraz wykorzystując program napisany w systemie Mathematica, zostały oszacowane główne charakterystyki, w tym: warunkowe i bezwarunkowe wartości oczekiwane i odchylenia standardowe czasów życia systemu, bezwarunkowa funkcja bezpieczeństwa systemu oraz funkcja ryzyka systemu.
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