摘要
根据工程应用的需要,基于威布尔分布的前提条件,对不同情况下更新函数的确定方法进行专门研究。经严格的数学推导和证明,分别给出了数学期望法、麦克劳伦(M ac laurin)级数展开法和极限定理法。利用研究结果,可以简化实际问题的数学建模,并确保模型求解的准确性和可靠性。
According to the need of engineering application and the prerequisite that the fault or life obeys Weibull distribution, the determining methods of renewal function under different conditions have been researched specially. After strict mathematical proving and inferring, several determining methods of renewal function, such as mathematical expectation method, Maclaurin series spread method, have been obtained respectively. Using the results of this research, the modeling of actual problems can be simplified, and the accuracy and reliability of model solutions can also be ensured.
出处
《山东交通学院学报》
CAS
2006年第3期16-19,共4页
Journal of Shandong Jiaotong University
基金
交通部交通应用基础研究资助项目(200431981716)
关键词
更新理论
更新函数
威布尔分布
确定方法
研究
renewal theory
renewal function
Weibull distribution
determining method
research
