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Stochastic resonance in a time-delayed bistable system subject to asymmetric dichotomous noise and multiplica-tire and additive white noise is investigated.Using small time delay approximation,we obtain the expression of the signal-to-noise ratio (SNR).It is found that the SNR is a non-monotonic function of the delayed times,of the amplitude of the input square-wave signal,as well as of the asymmetry of the dichotomous noise.In addition,the SNR varies non-monotonously with the system parameters,with the intensities of the multiplicative and additive noise,as well as with the correlate rate of the dichotomous noise.