Fluid and Diffusion Limits for Bike Sharing Systems
Bike sharing systems have rapidly developed around the world,and they are served as a promising strategy to improve urban traffic congestion and to decrease polluting gas emissions.So far performance analysis of bike sharing systems always exists many difficulties and challenges under some more general factors.In this paper,a more general large-scale bike sharing system is discussed by means of heavy traffic approximation of multiclass closed queueing networks with nonexponential factors.Based on this,the fluid scaled equations and the diffusion scaled equations are established by means of the numbers of bikes both at the stations and on the roads,respectively.Furthermore,the scaling processes for the numbers of bikes both at the stations and on the roads are proved to converge in distribution to a semimartingale reflecting Brownian motion(SRBM)in a N2-dimensional box,and also the fluid and diffusion limit theorems are obtained.Furthermore,performance analysis of the bike sharing system is provided.Thus the results and methodology of this paper provide new highlight in the study of more general large-scale bike sharing systems.
Bike sharing systems Fluid limit Diffusion limit Semimartingale reflecting Brownian motion
Quan-Lin Li Zhi-Yong Qian Rui-Na Fan
School of Economics and Management Sciences,Yanshan University,Qinhuangdao 066004,China
国际会议
河北秦皇岛
英文
217-245
2017-08-21（万方平台首次上网日期，不代表论文的发表时间）