Abstract: A set of multi-cycle stock replenishment strategies of perishable merchandise with price-varying demands was researched. The deteriorating rate is a nonlinear time-varying function and the replenishment interval is a random variable, whose density function is evenly distributed at intervals. An optimal replenishment model with replenishment level as the decision-making variable was constructed. Matlab was utilized to seek the extremum optimization solution. An example was given and sensitivity of the replenishment intervals was analyzed. The example showed that because goods tend to deteriorate, stock-out often occurs. In order to avoid this from happening, the replenishment intervals can be shortened to reduce commodity vacancy periods. In sum, this model provides a decision-making method for goods delivery of distribution centers and stock replenishment of supermarkets.