We would like to thank Thamer University in Yemen for financial supporting also SRTM University in India. This is work supported by Mathematical School of Sciences India to develop the inventory model of deteriorating items.
The crop of planned model within two components of first runtime as class intervals and leading time founded out that, according fig.(2) vary between demand rate and EOQ with deterioration rate anywhere demand rate and EOQ was decreased when deterioration rate increased, fig.3 illustrate that the deterioration rate was increasing when components of first-run optimal time increased, fig.4represented the gap between actual total and optimal costs was high that made the proposed model is applicable deterioration rate increased while the total was decreasing. According to fig.5 the difference between actual total cost and the optimal total cost was decreased while the deterioration rate was increasing. The proposed model can extend for inflation consideration also if the delay in payment is allowed; further, the variation in the level within each time run can take into consideration.