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 presents inventory models for perishable items with stock dependent selling rate. The selling rate is assumed to be a function of current inventory level and rate of deterioration is taken to be constant. Under instantaneous replenishment with zero lead time, the model incorporates aspects such as complete, partial, and no backlogging. EOQ is determined for maximizing the total profi...

An Economic Lot-sizing(ELS) problem with perishable inventory has been studied extensively over the years and plays a fundamental role in the inventory management. In this paper, we consider the problem where backlogging is allowed with the general economies of scale cost functions. Since the special case without backlogging is NP-hard, the considered problem is also NP-hard. The main contribut...

In some real inventory systems, item sales can be adjusted to a stable demand rate along the cycle. For instance, home appliances, electrical products, lounge furniture, water supply, etc., are items with rate. this work, we analyze an system for of type, where is constant. Shortages allowed, and it assumed that fraction during stock-out period backlogged. It supposed shortage costs (backorder ...

In this study, an integrated production-inventory model is developed from the manufacturers and retailer’s point of view when demand of a product is increasing with the time. The model assumes partial backlogging, imperfect production process and multiple deliveries. The elapsed time until the production process shifts is assumed to be randomly distributed. A numerical example including the sen...