论文标题
$ m | g | \ infty $队列繁忙期差异的注意事项
Considerations on $M|G|\infty$ Queue Busy Period Variance
论文作者
论文摘要
提出了$ M | g | \ infty $队列繁忙期的一些重要结果。通常,此参数取决于服务时间分布的整体结构。因此,仅取决于某些参数,呈现的界限的重要性。此外,提出了对可靠性理论重要的服务时间分布的一些范围,并提出了技术和财务应用,并探索了特定的随机秩序来解释这些结果。最后,显示了因变异研究系数而导致的MGINF队列繁忙期的指数性的一个有趣结果。
Some important results on the variance of the $M|G|\infty$ queue busy period are presented. Often, this parameter depends on the whole structure of the service time distribution. So, the importance of the bounds presented, depending only on some parameters. Also, some bounds for service time distributions important in reliability theory, with technological and financial applications, are presented and a particular stochastic ordination is explored to explain those results. Finally, an interesting result about the exponentiality of the MGInf queue busy period, resulting from the coefficient of variation study is shown.