We analyze customer losses in busy-periods of preemptive and non-preemptive oscillating $M^X/G/1/(n,a,b)$ systems. Specifically, we propose a recursive scheme to compute the probability function of the number of customer losses in busy-periods of such systems. The effectiveness and usefulness of the proposed method is illustrated through the presentation of numerical examples that consider different arrival rates and service time and group size distributions.

中文翻译：

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振荡繁忙时段的损失数量分布 ${\mathrm{中号}}^X/G/\mathrm{1个}/（ñ，\mathrm{一个}，b）$ 系统

我们分析在抢占式和非抢占式振荡的繁忙时期中的客户损失 ${\mathrm{中号}}^X/G/\mathrm{1个}/（ñ，\mathrm{一个}，b）$系统。具体来说，我们提出了一种递归方案来计算此类系统繁忙时段中客户流失数量的概率函数。通过考虑不同到达率，服务时间和组大小分布的数值示例，说明了该方法的有效性和实用性。