在多服务器队列库存系统中,分析接近高级服务器的初级服务器.
K Jeganathan1, V Anzen Koffer1, K Prasanna Lakshmi2
1Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, Tamil Nadu, 600005, India.
Scientific reports
|May 6, 2025
概括
将高级服务器引入多服务器排队库存系统可以显著提高效率. 这种模式,使用国家依赖的服务费率,优于传统系统,提高企业利.
科学领域:
- 运营研究 运营研究
- 排队理论 排队理论
背景情况:
- 多服务器排队库存系统面临着初级服务器服务中断的挑战.
- 初级服务器需要高级服务器的协助,从而造成潜在的瓶.
研究的目的:
- 分析一个多服务器排队库存系统,高级服务器为初级服务器提供支持.
- 通过依赖状态的服务费率来评估系统的性能,并将其与同质的费率进行比较.
主要方法:
- 将系统建模为一个准生死过程.
- 计算稳定状态概率向量.
- 确定对均质和依赖国家服务费的预期总成本的凸性.
主要成果:
- 国家依赖的服务费率显示出比同质费率更高的运营效率.
- 分析预期的等待时间和各州的初级服务器数量.
- 建议使用高级服务器的模型比传统的多服务器模型更有效.
结论:
- 实施高级服务器可以提高多服务器排队库存系统的整体效率.
- 取决于国家的服务费率对于优化系统性能和增加企业利至关重要.
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