Stochastic delay propagation in railway networks and phase-type distributions
Stochastic delay propagation in railway networks and phase-type distributions
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DOI：
10.1016/j.trb.2006.02.007
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发表时间：
2007-02-01
影响因子：
6.8
通讯作者：
Muns, Sander
中科院分区：
文献类型：
--
作者：
Meester, Ludolf E.;Muns, Sander
分析铁路网络中延迟传播的随机模型是困难的。似乎选择是非常全局的数学（排队）模型和模拟模型之间的一个极端。在本文中，我们讨论了一个（相当一般但不太详细的）延迟传播模型，并证明了在所谓的相位型分布的世界中，可以从主延迟分布推导出次延迟分布。我们将解释为什么相位型分布和延迟传播模型彼此适合，并通过一个例子说明开发分析这种网络的算法是可能的。(c) 2006 Elsevier Ltd.版权所有。
It is difficult to analyse stochastic models for the propagation of delays in railway networks. It seems that the choice is between very global mathematical (queueing) models at one extreme and simulation models at the other. In this paper we discuss a (fairly general but not too detailed) model for delay propagation and show that in a world of so-called phase-type distributions it is possible to derive secondary delay distributions from primary delay distributions. We shall explain why phase-type distributions and the delay propagation model are suited for each other and show by an example that it is possible to develop algorithms that analyse such networks. (c) 2006 Elsevier Ltd. All rights reserved.