In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model.

In this paper, we establish a new preservation property of quasi-K-concavity under certain optimization operations. One important application of the result is to analyze joint inventory-pricing models for single-product periodic-review inventory systems with concave ordering costs. At each period, an ordering quantity and a selling price of the product are determined simultaneously. Demand is r...

In this paper, we investigate the problem of determining a retailer’s optimal cycle time and the optimal payment policy when supplier offers partially or fully permissible delay in payment linking to payment time. The retailer can obtain the larger fraction of the delay payment permitted by the supplier when the retailer chooses the shorter delayed payment period. The supplier uses this policy ...

This paper deals with economic ordering policies for deteriorating items with inflation dependent demand rate under permissible delay in payments by considering selling price is necessarily higher than purchasing cost. We obtain optimal cycle time and we show the total cost function is concave for both cases i.e. case I and case II. We then develop an algorithm for a retailer to determine its o...

tendency to optimization in last decades has resulted in creating multi-product manufacturing systems. production planning in such systems is difficult, because optimal production volume that is calculated must be consistent with limitation of production system. hence, integration has been proposed to decide about these problems concurrently. main problem in integration is how we can relate pro...