安全监测系统校验周期数学模型  

Mathematical Model of Check-Verifying Period Safety Mornitor Systems for Combustive and Explosive Major Hazards

作　　者：许开立[1] 陈宝智[1] 董九菊[1] 

机构地区：[1]东北大学资源与土木工程学院

出　　处：《东北大学学报（自然科学版）》1996年第4期343-347,共5页Journal of Northeastern University(Natural Science)

基　　金：国家"八五"科技攻关项目

摘　　要：在一系列假设的基础上，给出了安全监测系统单位时间内校验次数的泛函，用变分法求泛函极值，得出了校验费和损失费最小的校验周期数学模型．在校验费和损失费一定的情况下，当故障（泄漏）率较高时，校验周期应短些，反之则长些．根据安全监测系统和易燃易爆重大危险源常见的无故障工作时间的分布类型，给出了与之相应的校验周期数学模型的具体形式．计算实例说明，本模型是合理的，它对校验周期的确定具有一定的理论和实际意义．Using some hypothesis,in this paper,a function of the number of check-verifying times in unit time for safety mornitor systems is presented the extreme functional value by the calculus of variations is evaluated and a mathematical model of check-verifying period with the minimum of check-verifying and losing cost is obtained. In the case of definite check-verify and losing cost,the larger the leakage rate is,the shorter the check-verifying period is,otherwise,the period is longer. According to the distribution type of conventional non-failure working time about safety mornitor system and combustive and explosive major hazards,the mathematical model of check-verifying period is proposed. The computations have proved that the model is rational and is of some significance in theory and reality.

关 键 词：危险源 安全监测系统 校验周期 数学模型 

分 类 号：X924.3[环境科学与工程—安全科学]