We consider here an EOQ model in which inventory is depleted not only by demand, but also by deterioration at a Weibull distributed rate, assuming the demand rate with a ramp type function of time. The proposed model cannot be solved directly in a closed form, thus the computer software IMSL MATH/LIBRARY [13] has been used to find the optimal reorder time. Finally, three numerical examples and sensitivity analyses are provided to assess the solution procedure.