一类N-策略M/G/1排队系统队长分布

Queue-Length Distribution for a New One M/G/1 Queuing System under N-Policy

摘要:

文章考虑具有延误休假时间的N-策略M/G/1排队系统,通过全概率分解等技术研究了队长的瞬态和稳态性质,导出了在任意时刻t瞬态队长分布的拉普拉斯变换递推表达式和稳态队长分布的递推表达式,最后研究了稳态队长分布的统计性质。

Abstract:

In this paper, the M/G/1 queuing system under N-policy and delay server vacation was considered. By using the total probability decomposition technique, we derived the recursion expression of the L-transformation of the transient queue-length distribution at any time t. Finally, the stationary queue-length distribution was calculated, and furthermore, the nature of statistics was also investigated.