Kolowrocki Krzysztof, Joanna Soszynska – RELIABILITY, RISK AND AVAILABILITY BASED OPTIMIZATIO OF COMPLEX TECHNICAL SYSTEMS

The joint general model of reliability and availability of complex technical systems in variable operation conditions linking a semi-markov modeling of the system operation processes with a multi-state approach to system reliability and availability analysis and linear programming considered in the paper Part 1 are applied in maritime industry to reliability, risk and availability optimization of a port piping oil transportation system. 6 RELIABILITY, RISK AND AVAILABILITY EVALUATION OF A PORT OIL PIPING TRANSPORTATION SYSTEM The oil terminal in Dębogórze is designated for the reception from ships, the storage and sending by carriages or cars the oil products. It is also designated for receiving from carriages or cars, the storage and loading the tankers with oil products such like petrol and oil. The considered system is composed of three terminal parts A, B and C, linked by the piping transportation systems. The scheme of this system is presented in Figure 1 (Kołowrocki et all. 2008). The unloading of tankers is performed at the piers placed in the Port of Gdynia. The piers is connected with terminal part A through the transportation subsystem S1 built of two piping lines composed of steel pipe segments with diameter of 600 mm. In the part A there is a supporting station fortifying tankers pumps and making possible further transport of oil by the subsystem S2 to the terminal part B. The subsystem S2 is built of two piping lines composed of steel pipe segments of the diameter 600 mm. The terminal part B is connected with the terminal part C by the subsystem S3. The subsystem S3 is built of one piping line composed of steel pipe segments of the diameter 500 mm and two piping lines composed of steel pipe segments of diameter 350 mm. The terminal part C is designated for the loading the rail cisterns with oil products and for the wagon sending to the railway station of the Port of Gdynia and further to the interior of the country. The oil pipeline system consists three subsystems: the subsystem 1 S composed of two identical pipelines, each composed of 178 pipe segments of length 12m and two valves, the subsystem 2 S composed of two identical pipelines, each composed of 717 pipe segments of length 12m and to valves, the subsystem 3 S composed of three different pipelines, each composed of 360 pipe segments of either 10 m or 7,5 m length and two valves. Kolowrocki Krzysztof, Joanna Soszynska – RELIABILITY, RISK AND AVAILABILITY BASED OPTIMIZATIO OF COMPLEX TECHNICAL SYSTEMS OPERATION PROCESS, PAT 2, APPLICATION IN PORT TRANSPORTATION R&RATA # 4 (Vol.2) 2009, December 154 The subsystems 1 S , 2 S , 3 S are forming a general port oil pipeline system reliability series structure. However, the pipeline system reliability structure and the subsystems reliability depend on its changing in time operation states (Kołowrocki et all. 2008). Taking into account the varying in time operation process of the considered system we distinguish the following as its eight operation states: • an operation state − 1 z transport of one kind of medium from the terminal part B to part C using two out of three pipelines in subsystem S3, • an operation state − 2 z transport of one kind of medium from the terminal part C (from carriages) to part B using one out of three pipelines in subsystem S3, • an operation state − 3 z transport of one kind of medium from the terminal part B through part A to piers using one out of two pipelines in subsystem S2 and one out of two pipelines in subsystem S1, • an operation state − 4 z transport of two kinds of medium from the piers through parts A and B to part C using one out of two pipelines in subsystem S1, one out of two pipelines in subsystem S2 and two out of three pipelines in subsystem S3, • an operation state − 5 z transport of one kind of medium from the piers through part A to B using one out of two pipelines in subsystem S1 and one out of two pipelines in subsystem S2, • an operation state − 6 z transport of one kind of medium from the terminal part B to C using two out of three pipelines in subsystem S3, and simultaneously transport one kind of medium from the piers through part A to B using one out of two pipelines in parts S1 and one out of two pipelines in subsystem S2, • an operation state − 7 z lack of medium transport (system is not working) • an operation state − 8 z transport of one kind of medium from the terminal part B to C using one out of three pipelines in part S3, and simultaneously transport second kind of medium from the terminal part C to B using one out of three pipelines in part S3. At the moment because of the luck of sufficient statistical data about the oil terminal operation process it is not possible to estimate its all operational characteristics. However, on the basis the still limited data, given in (Kołowrocki et all. 2008), the transient probabilities bl p from the operation state b z into the operations state l z for , 8 ,..., 2 , 1 , = l b , l b ≠ were preliminary evaluated. Their approximate values are included in the matrix below