ABSTRACT: 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.

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