Existing study gives ordering policy for non-instantaneous deteriorating items having three-variable Weibull distribution deterioration rate. Demand rate varies in different time interval. Before deterioration starts, demand is constant and after that it decreases exponentially with respect to time. The study considers total cost function as objective function including salvage value. Shortages are not allowed to stay in time-based competition. Results are proved theoretically and numerically. Sensitivity analysis is performed with respect to salvage value, scale parameter, shape parameter and location parameter including in deterioration rate function to show the liability of the model.

In this study, a single product is considered which starts to deteriorate with constant rate of replenishment and demand rate is time and price dependent exponential function. Shortage is allowed with partial back logging and the relationship between backorder rate and waiting time is considered to be exponential. The aim is to decide pricing strategy and maximize total average profit function. Total profit function is optimized analytically and proved to be concave function of price. Finally, numerical example is given to illustrate the implementation of the algorithm followed by the sensitivity analysis.

Vendor managed inventory system is vendor centric inventory system in which all inventory decisions are taken by vendor rather than buyer. This study considers non-instantaneous deteriorating items with generalized type time dependent deterioration rate when demand rate is quadratic function of time and shortages are allowed with partial backlogging. The paper aims to compare traditional inventory system and vendor managed inventory system by analyzing total cost function. To validate the model, numerical example and sensitivity analysis are performed. The analysis shows that vendor managed inventory is more beneficial compare with the traditional inventory system.

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