On a GI/M/c Queue with Bounded Waiting Times
On a GI/M/c Queue with Bounded Waiting Times
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DOI：
10.1287/opre.34.6.895
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发表时间：
1986-12
期刊：
影响因子：
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通讯作者：
A. Swensen
中科院分区：
文献类型：
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作者：
A. Swensen
对于服务时间服从指数分布且等待时间有界的多服务台排队系统，得到了系统剩余负载、虚拟等待时间和实际等待时间的渐近分布。到达间隔分布是Coxian分布，有m个阶段。该模型适用于电话交换业务和易腐库存。分布的显式推导涉及确定m维矩阵的特征值和求解m个未知数的线性方程组。我们给出了一些数字说明。
We derive the asymptotic distribution of the remaining load, virtual waiting time and actual waiting time for a multiserver queueing system with exponentially distributed service times and bounded waiting times. Interarrival distributions are Coxian, with m stages. This model has application to telephone exchange operations and to perishable inventory. The explicit derivation of the distributions involves determining the eigenvalues of m-dimensional matrices and solving linear equations in m unknowns. We give a few numerical illustrations.