基于排队模型的航天器环模设备负载能力分析

The capacity analysis of space environmental simulation facilities for spacecraft products based on queuing model

  • 摘要: 一般真空热试验对于空间环境模拟设备的占用时间长达7~30天。随着发射任务量的增加,试件排队等待进行试验的情况时有发生。文章针对这种情况,以一组中型环模设备为对象,统计分析了其近5年的试验任务量,结果显示:试件的到达间隔时间近似服从负指数分布,试验持续时间近似服从Gamma分布。基于此,建立了描述试件进行真空热试验的M/G/k排队模型,通过蒙特卡罗方法给出了不同试验持续时间分布、不同任务量下的平均排队长度、平均排队时间等关键指标,可为未来相应设备的建设与规划提供参考。

     

    Abstract: A general thermal vacuum test takes a time span of 7 to 30 days for a whole test process. As the number of tasks increases, the test pieces sometimes have to queue up for being tested. This paper studies the problem of the test piece queuing for the thermal test in the medium-sized space environmental simulation chamber. The test tasks in a group of space environment simulation chambers during the past five years are analyzed. It is shown that the arrival interval of the test pieces follows a negative exponential distribution approximately, while the test duration is in the Gamma distribution approximately. Based on the analysis of the data, a M/G/k queuing model is established. The average length of the queues, the average queuing time and other key indicators under the conditions of different number of tasks and different test durations, are calculated by the Monte Carlo method. The study provides a reference for the construction and the optimization of similar test facilities in the future.

     

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