Q.L. Li, R.N. Fan and Z.Y. Qian (2017). A nonlinear solution to closed queueing networks for bike sharing systems with Markovian arrival processes and under an irreducible path graph. In: Queueing Theory and Network Applications, Lecture Notes in Computer Science book series (LNCS, volume 10591), pp. 118–140.

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As a favorite urban public transport mode, the bike sharing system is a large-scale and complicated system, and there exists a key requirement that a user and a bike should be matched sufficiently in time. Such matched behavior makes analysis of the bike sharing systems more difficult and challenging. To design a better bike sharing system, it is a key to analyze and compute the probabilities of the problematic (i.e., full or empty) stations. In fact, such a computation is established for some
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Q.L. Li, R.N. Fan and Z.Y. Qian (2017). A nonlinear solution to closed queueing networks for bike sharing systems with Markovian arrival processes and under an irreducible path graph