A stochastic airplane boarding model in a framework of ASEP with distinguishable particles

A stochastic airplane boarding model in a framework of ASEP with distinguishable particles
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ASEP框架下具有可区分粒子的随机飞机登机模型

DOI:
10.1142/s0129183118500936
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发表时间:
2018-10
影响因子:
1.9
通讯作者:
Huang Qingxia
Huang Qingxia
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Qiang ShengJie;Jia Bin;Huang Qingxia

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非对称简单排除过程 (ASEP) 是非平衡系统的范例模型,已在许多应用中使用。飞机登机提供了另一个可以应用此框架的有趣示例。我们提出了一个简单的登机过程模型,其中粒子被注入后沿一维通道移动,最后在保留位置被移除。与典型的ASEP模型不同,粒子以无序或并行的方式被去除。基于蒙特卡罗模拟,对平均登机时间和并行度指标等相关特性进行了详细的计算和讨论。结果表明,登船过程存在自由流动、堵塞和最大电流三个阶段。这些阶段之间的转变由注入速率和去除速率之间的差异控制。进一步的分析显示了缩放行为如何取决于系统尺寸和寄宿条件。这些结果强调了在设计高效登机策略时利用整个过道长度来减少登机时间的重要性。
The asymmetric simple exclusion process (ASEP) is a paradigmatic model for nonequilibrium systems and has been used in many applications. Airplane boarding provides another interesting example where this framework can be applied. We propose a simple model for boarding process, in which a particle moves along a one-dimensional aisle after being injected, and finally is removed at a reserved site. Different from the typical ASEP model, particles are removed in a disorderly or a parallel way. Detailed calculations and discussions of some related characteristics, such as mean boarding time and parallelism indicator, are provided based on Monte-Carlo simulations. Results show that three phases exist in the boarding process: free-flow, jamming and maximum current. Transitions between these phases are governed by the difference between the injection and removal rate. Further analysis shows how the scaling behavior depends on the system size and the boarding conditions. Those results emphasize the importance of utilizing the whole length of the aisle to reduce the boarding time when designing an efficient boarding strategy.
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影响因子: 1.9
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