关键词: 共享单车系统, 失效停放区比率, (M,S)交互作用, 交互策略, 稳定性

Abstract: The operating stability of Bicycle Sharing System(BSS)could be affected by the existing invalid bicycle parking areas which make users unable to pick up or return bicycles. This work establishes the mean field equations for steady state of BBS based on the Queuing theory and Markov chain to solve the stable state, and finds that the interaction between parking areas makes the invalid parking area produce demand overflow effect on adjacent parking area. In this situation, the ratio of invalid parking areas would be increased and the operating stability of BBS could also be affected. This paper introduces the(M,S)interaction strategy to adjust the interaction between invalid parking areas and adjacent parking areas, with the aim of reducing the invalid parking area ration of BSS. Furthermore, the interactions between parking areas with the same and different types and the invalid parking area ration of BSS under(M,S)interaction strategy are compared based on the analysis of numerical examples. The results show that the(M,S)interaction strategy can effectively reduce the ratio of invalid parking area and in turn enhance the operating stability of BSS. In general, this the research could provide valuable references for the operating stability decisions of bicycle sharing enterprise.

Key words: bicycle sharing system, invalid rate of parking area, (M,S)interaction, interaction strategy, stability