摘要
研究具有延迟启动-关闭的N策略M/G/1可修排队系统,利用最大熵方法导出稳态队长分布的解析解,进一步得到基于最大熵的顾客平均等待时间.通过比较顾客的平均等待时间来检验最大熵方法的精度,结果表明基于最大熵方法得到的稳态队长分布是相当精确的.
This paper considers the repaired M/G/1 queue under N-policy with delayed startup and closedown. By the maximum entropy approach, the steady-state probability distribution of the queue length is obtained. Furthermore, the expected waiting time in the queue is also investigated based on the maximum entropy. By comparing the expected waiting time, the precision of the maximum can be checked. The results indicate that the steady-state probability distribution of the queue length based on the maximum entropy method is accurate enough.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第18期140-147,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(70801021)
教育部人文社会科学资助项目(08JC630019)
关键词
N策略
启动-关闭
最大熵
队长分布
等待时间
N-policy
startup-closedown
maximum entropy
queue-length distribution
waiting time
