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A deterministic inventory model for infinite time-horizon incorporating inventory level-dependent demand rate, deterioration begins after a certain time, partial backlogging and decrease in demand is developed. The salient feature of the developed model is the introduction of the concept of fractional decrease in demand due to ageing of inventory. Demand at any instant depends linearly on the ...

In this paper we present a quantity-based model for integrated inventory replenishment and shipment consolidation decisions under vendor managed inventory. Assuming the vendor uses a special reorder point, order-up-to level, or ( , ) s S policy for inventory control and adopts a quantity-based dispatching strategy under stochastic settings, we build its simulation model. By simulating in Arena ...

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.

The effect of imperfect production processes on lot sizing decisions received a lot of attention in the literature. These efforts have been almost confined to single stage production systems. The issue of imperfect production processes has not been adequately addressed in the context of multistage production/inventory systems. In this paper, we propose a two-stage production inventory model tha...

In this paper, we develop integrated inventory inspection models with and without replacement of nonconforming items. Inspection policies include no inspection, sampling inspection, and 100% inspection. We consider a buyer who places an order from a supplier. When a lot is received, the buyer uses some type of inspection policy. The fraction nonconforming is assumed to be a random variable foll...

This paper presents the new mathematical model for determining the optimal ordering policy for industrial and commercial companies. In the previous research, the numerous inventory models under inflationary conditions have been developed. In these models, the demand rate, usually, has been considered constant and well known, time-varying, stock dependent or price-dependent. But, the demand rate...

Manufacturers make production decisions and carry inventory to satisfy uncertain demand. When holding and shortage costs are high, carrying inventory could be even more expensive for a capacitated production system. Recent developments in information technology and sales strategies enabled firms to acquire, collect, or induce advance demand information. We address a periodic-review, stochastic,...