Scipediacontent: Scipediacontent moved page Draft Content 130065650 to Qian et al 2017a

2021-01-21T13:50:51Z

Scipediacontent moved page Draft Content 130065650 to Qian et al 2017a

Scipediacontent: Created page with " == Abstract == 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..."

2021-01-21T13:50:48Z

Created page with " == Abstract == 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..."

New page

== Abstract ==

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 non-exponential 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 $N^{2}$-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.

== Original document ==

The different versions of the original document can be found in:

* [http://arxiv.org/abs/1707.06817 http://arxiv.org/abs/1707.06817]

* [http://arxiv.org/pdf/1707.06817 http://arxiv.org/pdf/1707.06817]

* [http://link.springer.com/content/pdf/10.1007/978-3-319-68520-5_14 http://link.springer.com/content/pdf/10.1007/978-3-319-68520-5_14],
: [http://dx.doi.org/10.1007/978-3-319-68520-5_14 http://dx.doi.org/10.1007/978-3-319-68520-5_14] under the license http://www.springer.com/tdm

* [https://dblp.uni-trier.de/db/journals/corr/corr1707.html#LiQF17 https://dblp.uni-trier.de/db/journals/corr/corr1707.html#LiQF17],
: [https://link.springer.com/chapter/10.1007/978-3-319-68520-5_14 https://link.springer.com/chapter/10.1007/978-3-319-68520-5_14],
: [https://ui.adsabs.harvard.edu/abs/2017arXiv170706817L/abstract https://ui.adsabs.harvard.edu/abs/2017arXiv170706817L/abstract],
: [https://arxiv.org/abs/1707.06817 https://arxiv.org/abs/1707.06817],
: [https://rd.springer.com/chapter/10.1007/978-3-319-68520-5_14 https://rd.springer.com/chapter/10.1007/978-3-319-68520-5_14],
: [https://academic.microsoft.com/#/detail/2964115082 https://academic.microsoft.com/#/detail/2964115082]

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Scipediacontent: Scipediacontent moved page Draft Content 130065650 to Qian et al 2017a

Scipediacontent: Created page with " == Abstract == 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..."