We consider the problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead-times. Production facilities can choose to manufacture items either to-stock or to-order. Products vary in their demand rates, holding and backordering costs, and service level requirements. We develop models and solution procedures to determ...

The sustainable EPQ models that have been proposed in the inventory literature are insufficient to address practical scenario of defects manufacturing and subsequent rework for remedial actions. In this article, model with faulty products has studied. Promotional activities key factors significantly affect market demand an item. impacts random combining economic environmental elements on order ...

W consider the problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead times. Production facilities can choose to manufacture items either to stock or to order. Products vary in their demand rates, holding and backordering costs, and service-level requirements. We develop models and solution procedures to determi...

In this paper, we present a robust optimization formulation for dealing with demand uncertaintyin a dynamic pricing and inventory control problem for a make-to-stock manufacturing system. Weconsider a multi-product capacitated, dynamic setting. We introduce a demand-based fluid modelwhere the demand is a linear function of the price, the inventory cost is linear, the production ...

An order level inventory system for deteriorating items has been developed with demand rate as a ramp type function of time. The finite production rate is proportional to the demand rate and deterioration rate is time proportional. The unit production cost is inversely proportional to the demand rate. The model with no shortage case in inventory is first solved. The inventory shortage is discus...

In most production-inventory systems, the products are transferred from the production centre to the inventory (warehouse) in subbatchs rather than one at a time. In this paper, mathematical models of such systems for both deterministic and stochastic cases of demand are developed and analysed. Comparison of these new models with the EBQ model shows a considerable loss when applying the ru...

In this work, optimal control theory is used to derive the optimal production rate in a manu‐ facturing system presenting the following features: the demand rate during a certain period depends on the demand rate of the previous period (dependent demand), the demand rate depends on the inventory level, items in inventory are subject to deterioration, and the firm can adopt a periodic or a conti...

This paper develops an economic lot-sizing production model for deteriorating items with time dependent quadratic demand and delay in payments under two levels of trade credit policy. The trade credit policy adopted here is a two-level trade credit policy in which the supplier offers the retailer a permissible delay period M, and the retailer in turn provides customers a permissible delay perio...

Manna and Chaudhuri (Eur. J. Oper. Res. 171(2):557–566, 2006) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate. The two models without shortages and with shortages were discussed. Both models were studied assuming that the time point at which the demand is stabil...