This paper aims to analyse the dependencies between supply chain performance, i.e. stock and stock-outs, and both supply chain management decisions and supply chain configuration parameters, i.e. the number of sources, the inventory capacity at a given node and the number of nodes that share the considered inventory capacity, the distance between nodes and the number of levels of the supply cha...

The classic Economic Order Quantity model assumes that the unit purchasing cost is not based on the order quantity. In practice, a supplier may offer purchasers an all-units discount. We develop a model and solution procedure for the EOQ with all-unit discounts and partial backordering at a constant rate. We show, and illustrate with a numerical example, how that model can be used to find the s...

The standard inventory problems of multi-period have been modeled under different situations, namely we consider whether demand subjects to a continuous distribution or a discrete distribution and whether demand of each period is unchanged or not. A method to get an economic order quantity in inventory systems with discrete and unchanged demand was presented in former paper and this method has ...

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...

Ford Whitman Harris first presented the familiar economic order quantity (EOQ) model in a paper published in 1913. Even though Harris's original paper was disseminated widely, it apparently was unnoticed for many years before its rediscovery in 1988. During this period much confusion developed over the origin of the EOQ model. This paper explores the early literature on this model and traces th...

In this paper a deterministic inventory model with imperfect quality have been developed for deteriorating items with two parameters Weibull distribution deterioration and time dependent holding cost. Shortages are allowed and are completely backlogged. The model has been framed to study the items whose deterioration rate increase with time under permissible delay in payments with imperfect qua...

In this paper, we use quasi-variational inequalities to provide a rigorous proof of the familiar square root formula for the optimal economic order quantity (EOQ) in the classical deterministic average cost inventory model.

In this paper, the study attempts to determine the optimal capital investment in setup cost reduction and optimal lot sizing policies for an economic order quantity (EOQ) model with random yields. The setup cost is treated as the function of capital expenditure in technology. The study shows that the expected total annual cost functions with capital investment is convex and develop a solution p...

This paper deals with the problem of determining the optimal retailer’s replenishment decisions for deteriorating items under two levels of trade credit policy within the economic order quantity (EOQ) framework to reflect the supply chain management situation. We investigate the retailer's inventory system as a cost minimization problem to determine the retailer's optimal inventory policy under...

This paper deals with an economic order quantity model where demand is stock dependent. Items received are not of perfect quality and each lot received contains percentage defective imperfect quality items, which follow a probability distribution. Two cases are considered. 1) Imperfect quality items are held in stock and sold in a single batch after a 100 percent screening process. 2) A hundred...