An inventory system for non-instantaneous deteriorating items with price-dependent demand is formulated and solved. A model is developed in which shortages are allowed and partially backlogged, where the backlogging rate is variable and dependent on the waiting time for the next replenishment. The major objective is to determine the optimal selling price, the length of time in which there is no...

For generality, we observed that some of the optimization methods lack mathematical rigor and them are based on intuitive arguments which result in solution procedures being questionable from logical viewpoints a analysis such as those work by Ouyang et al. (2009). They consider an economic order quantity model for deteriorating items with partially permissible delays payments linked to quantit...

In this paper, we derive a partial backlogging inventory model for noninstantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensi...

This paper seeks the critical factors for a correct choice in the components set up along the supply chain. ABC classification was made for all the suppliers according to the supplied items for the company. After a demand analysis, the seasonal nature and trend during the timeline, we used the last four years registers where is shown a decreasing behavior in 30% of the items; Economic Order Qua...

In this paper we develop an economic order quantity model to investigate the optimal replenishment policies for instantaneous deteriorating items under inflation and trade credit. Demand rate is a linear function of selling price and decreases negative exponentially with time over a finite planning horizon. Shortages are allowed and partially backlogged. Under these conditions, we model the ret...