论文标题
剩下的负载在不耐烦的客户的pH/m/c队列中
Remaining loads in a PH/M/c queue with impatient customers
论文作者
论文摘要
在本说明中，对文献有两个贡献。首先，我们指出，在某些弱条件下，Swensen（1986）在GI/M/$ C $队列中剩余的负载与不耐烦的客户中的剩余负载，这是根据Coxian的分布为Coxian的假设，对更一般的相位类型分布也有效。从此结果，可以轻松地获得虚拟和实际等待时间的分布。其次，还讨论了与Kawanishi和Takine（2015）得出的虚拟等待时间分布的替代表达的关系。
There are two contributions to the literature in this note. Firstly, we point out that under some weak conditions the result in Swensen (1986) on the remaining loads in a GI/M/$c$ queue with impatient customers, derived under the assumption that the distribution of inter-arrival times is Coxian, is also valid for the more general phase type distribution. From this result the distributions of the virtual and the actual waiting time can easily be obtained. Secondly, the relation to an alternative expression for the distribution of the virtual waiting time derived by Kawanishi and Takine (2015) is also discussed.
