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服务器聚合模型用于单独和有限的队列
Hila Hindy Ling1,2, Ran Etgar2, Hillel Bar-Gera1
1Ben-Gurion University of the Negev, Department of Industrial Engineering and Management, Israel.
Heliyon
|March 4, 2024
概括
在排队模型中将单独的有限等待空间组合在一起,可以提高效率. 本研究分析了聚合的好处,特别是当抵达率不同时,使用准出生和死亡模型.
科学领域:
- 运营研究 运营研究
- 应用概率学 应用概率学
- 排队理论 排队理论
背景情况:
- 现有的排队模式往往假定共享等待空间或无限容量.
- 有限,单独的等待空间在分析福利共享时提出了独特的挑战.
- 集装箱码头运营突出了排队系统中有效分配资源的需要.
研究的目的:
- 在多源排队系统中研究结合有限,单独的等待空间的优势.
- 开发和分析可用于实际场景的排队模型,如集装箱码头.
- 量化随机相互作用带来的低效率和聚合的影响.
主要方法:
- 准出生死亡 (QBD) 模型的开发,用于单独的有限队列的一般情况.
- 对单个等待空间场景的相对相互作用延迟 (RID) 的分析推导.
- 数字评估,以评估在不同到达率条件下汇集福利的情况.
主要成果:
- 分析证明相对相互作用延迟 (RID) 与基本模型中聚合队列的数量成反比例.
- 数字证据表明,当抵达率不平等时,聚合具有显著的附加益处.
- 由于不同抵达率的聚合,观察到显著的线性效率提升.
结论:
- 将单独的有限等待空间放在一起是有益的,特别是当到达率因来源而异时.
- 拟议的QBD模型为分析这些系统和量化低效率提供了一个框架.
- 这些发现对优化集装箱码头等系统的资源管理有直接影响.
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