Random fuzzy delayed renewal processes
Random fuzzy delayed renewal processes
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DOI：
10.1007/s00500-008-0372-2
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发表时间：
2009-02
期刊：
影响因子：
4.1
通讯作者：
Shunqin Li;Q. Shen;Wansheng Tang;R. Zhao
中科院分区：
文献类型：
--
作者：
Shunqin Li;Q. Shen;Wansheng Tang;R. Zhao
在更新过程中，模糊性和随机性往往本质上并存。基于随机模糊理论，提出了一种具有随机模糊到达间隔时间的延迟更新过程。研究了这一过程中更新次数和间隔时间之间的关系。传统延迟更新过程中有用的定理，例如基本更新定理、布莱克威尔更新定理和史密斯密钥更新定理，都被扩展到随机模糊延迟更新过程中的对应定理。
In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated. Useful theorems such as the elementary renewal theorem, the Blackwell renewal theorem and the Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.