Until today, many models have been presented for inventory control. The simple EOQ model is the first model presented in this field in which all the assumptions of the problem are definite and it is clear that the results obtained from solving the model will be far from the real world. For this reason, with the passage of time, the presented models have become more complicated and more realistic assumptions have been included. Each of the assumptions stated below brings the results of model implementation one step closer to the real world.

These articles are only a small part of the research done in this field. So far, no study has investigated the model that includes the red assumptions in the table above. For this reason, we decided to examine the result of the simultaneous effect of all these factors on the model.
In this research, an inventory model was presented considering corruption and the demand function in terms of time and selling price, in which shortage is allowed. Adding these assumptions to the model makes it closer to the real world, and in this model, the time horizon is limited. Finally, the results obtained from the model were subjected to sensitivity analysis, and since the change of parameters was as expected, it can be ensured to some extent that the model has sufficient validity. In the end, it is recommended to check the same model taking into account the delivery period so that the model becomes stronger and its results are more reliable. However, it should be checked whether the mathematical solution of such a model is possible or not. It is also recommended to compare the results of solving the model with the data of a real company in order to ensure the validity of the model.