Abstract: This paper presents an inventory model for deteriorating items with a uniform replenishment rate with Weibull demand and without shortages. The deterioration rate is a cubic polynomial as a function of time. The purpose of this paper is to minimize the total cost in which deficits are not allowed. A numerical example is presented to illustrate the model. The sensitivity analysis of the optimal solution concerning various parameters is also studied the total optimal average variable inventory cost as the model's actual performance.