大型自行车共享系统的平均场极限理论与排队模型研究

发布时间：2018-01-08 01:30

本文关键词：大型自行车共享系统的平均场极限理论与排队模型研究　出处：《运筹与管理》2017年06期 　论文类型：期刊论文

【摘要】：人口的快速增长与空间的高度城市化带来了汽车尾气污染等环境污染问题,这已成为影响社会可持续发展的主要制约因素。基于此,近十年来自行车共享系统在世界多个国家的许多重要城市获得了高度重视并取得了迅速发展。然而,相比于自行车共享系统的快速发展,其相关研究却并未取得较大进展,主要原因在于它是一个大型的复杂系统,涉及密集的城市交通、异构的运营环境、多重的顾客偏好选择以及多渠道的收益管理等多种关联因素。在这种背景下,本文建立了一个通用的大型自行车共享系统,并提出了一种基于平均场极限理论与非时齐排队模型相结合的有效随机模型分析方法,包括利用平均场理论建立了非时齐排队系统、构建了经验测度过程(Empirical measure process)的非线性生灭过程、给出了分段结构下生灭过程的固定点的"几何之和"算法以及提供了问题站点稳态概率的数值计算等等。本文为研究大型自行车共享系统的随机模型提供了一个重要的发展途径,并有望能够用于分析更加一般的大型自行车共享系统。
[Abstract]:The rapid growth of population and the high urbanization of space have brought environmental pollution problems, such as automobile exhaust pollution, which has become the main restricting factors that affect the sustainable development of society. In recent ten years, bicycle sharing system has been attached great importance to and developed rapidly in many important cities in many countries of the world. However, compared with the rapid development of bicycle sharing system. The main reason is that it is a large complex system involving dense urban traffic and heterogeneous operating environment. There are many related factors, such as multiple customer preference selection and multi-channel revenue management. In this context, a general large-scale bicycle sharing system is established in this paper. An efficient stochastic model analysis method based on the mean field limit theory and the non-time homogeneous queuing model is proposed, including the establishment of the non-time homogeneous queuing system using the mean field theory. The nonlinear birth and death process of empirical measure process is constructed. The geometric sum of fixed points of birth and death process under piecewise structure is given. This paper provides an important way to study the stochastic model of large-scale bicycle sharing system. And is expected to be used to analyze more general large bicycle sharing system.
【作者单位】：燕山大学经济管理学院;
【基金】：国家自然科学基金资助项目(71271187,71471160) 河北省自然科学基金资助项目(A2012203125) 河北省高等学校创新团队领军人才培育计划(LJRC027)
【分类号】：U491.225
【正文快照】： 0引言随着世界人口的快速增长与生活空间的高度城市化,人们的居住、生活与工作变得越来越集中,由此所导致的出行与交通成为人们每天日常生活中的主要组成部分之一。目前的环境污染已经成为影响世界各国社会与经济可持续发展的主要因素之一,特别是汽车尾气与噪声污染变成一个严

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