*Research Scholar, Department of Mathematics, SAS, VIT University, Vellore, India
**Associate Professor, Department of Mathematics, SAS, VIT University, Vellore, India
In this article, an attempt is made to develop an inventory model for non-instantaneous deteriorating items with cubic deterioration rate and cubic demand rate. That is, the deterioration rate and demand rate are piecewise continuous cubic function of time. This model supports in minimizing the total inventory cost by finding an optimal replenishment policy; where shortages are not considered in this model. Numerical examples are given to establish the analytical results. Sensitivity analysis of the optimal solution with respect to major parameters is carried out and the effects are discussed in detail.
Inventory, non-instantaneous deterioration, cubic demand, cubic deterioration, no shortages
