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This paper improved Au et al' s e-cash system with anonymous user suspension. To achieve improvement in performance and security, this paper extended the EPID system of Brickell et al. by incorporating the technique of self-blindable credential and hatch zero-knowledge proof. Moreover, the construction of the new system adopted the approach of Xi et al., i. e., to divide system time into small periods and to issue passports to users who have not been revoked. In the revised system, users should obtain passports through the pre-computation stage before withdrawing e-coins. After that, the computation and communication cost of all the parties in the withdrawal and payment protocols are constant. In addition, the new system achieves higher level of balance and exculpability in game-based model. [ABSTRACT FROM AUTHOR]