Conclusion:-
In this paper we developed deterministic inventory model for deteriorating items for with shortage using preservation technology. The deterministic demand rate is assumed to be a function of selling price. Whenever shortage are allowed, are partially backlogged and holding cost is assumed to be parabolic time dependent. We used the parameter to reduce the deterioration. We calculate the total cost of the inventory and use condition for minima. Here initially this is an analytic approach towards this model. Further we will extend this model to practical approach by taking numerical values and taking sensitive analysis.