A method for analyzing the oil pipelines system to reduce the damage to the ecological environment

作者：Yuan, Li; Xu, Jian^*

来源：Disaster Advances, 2010, 3(4): 206-209.

• Consecutive-k-out-of-n: F system
• Reliability indexes
• Multiple vacations
• exponential distribution

In recent years, too many oil pipelines system explosion occurred at home and abroad, which has brought great pollution to the ecological environment. In this paper, a consecutive-k-out-of-n: F system is used to model the security problem of the oil transportation system. In this model, we assume the oil pipeline system has n identical pump stations and R repairmen taking charge of the pump stations. The working times of the pump stations and the repair times of the failed pump stations are assumed to be independent and identically exponential distributions. All vacations of the repairmen are independent and identically distributed as an exponential. Under these assumptions, by the pairs (i, j), the states of the system are listed. Therefore, the state transition rate matrix is obtained. The reliability indexes of the oil pipeline system can be obtained, too. Finally, the Run ge-Kutta method is used to a special case, and the result is that the structure of the system itself affects the security significantly comparing with the external repair service.

• 出版日期2010-10
• 单位同济大学