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首页> 外文期刊>Applied Mathematical Modelling >Performance evaluation of a single queue capable of handling two like jobs as a single entity
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Performance evaluation of a single queue capable of handling two like jobs as a single entity

机译：能够将两个类似作业作为一个实体处理的单个队列的性能评估

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摘要

In this paper, we model an open queuing network and analyze performance measures with and without feedback as two individual cases. The model comprises a single queue with a dedicated processor capable of handling two like jobs as a single job. Two different job arrivals with different processing times are considered with an internal timer. Performance measures such as average queue length, average response time, average waiting time of the jobs are computed and plotted. The joint density function for the inter arrival time and arrival rate are derived. The probability mass function has been derived for all possible cases that may arise in a duration (0,t), considering n job arrivals during that period of time and an integer programming problem is formulated to obtain optimal sequence patterns which would maximize the efficiency of the model.
机译：在本文中，我们对开放式排队网络进行建模，并分析有无反馈两种情况下的性能指标。该模型包括一个带有专用处理器的队列，该处理器能够将两个类似的作业作为一个作业处理。内部计时器考虑了两个具有不同处理时间的不同作业到达时间。计算并绘制性能度量，例如平均队列长度，平均响应时间，平均作业等待时间。得出到达时间和到达率的联合密度函数。考虑到在该时间段内有n个工作到达，已经针对在持续时间（0，t）中可能出现的所有可能情况导出了概率质量函数，并提出了整数规划问题以获得最佳的序列模式，该序列模式将最大限度地提高效率。该模型。

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