In this paper, fuzzy economic order quantity (EOQ) model for inventory system with partial backorder is proposed. The fuzzy total relevance cost of the model is calculated under function principle. The optimal EOQ is derived using median rule. Fuzzy variables are appropriate when the exact information is unavailable. In the proposed model, the optimal solution for the fuzzy EOQ model is higher ...

Economic Order Quantity (EOQ) model has been extended. We formulate EOQ model as a calculus of variations. This new extended problem is a simple optimal control problem with an unknown initial state. By solving this problem we generalize EOQ formula [1].

Several authors have developed models for the EOQ when only a percentage of stockouts will be backordered. Most of these models are complicated, with equations unlike those for the EOQ with full backordering. In this paper we extend work by Pentico and Drake [The deterministic EOQ with partial backordering: a new approach. European Journal of Operational Research 2008; in press] that developed ...

This paper introduces and examines a generalized EOQ formula, based on the model with linear and fixed backordering costs. The new square-root formula is a combination of two well-known classical models, the basic EOQ model without stockouts and the EOQ model with backorders and linear backordering costs. Helping to combine the two is a new parameter, a fractional coefficient capturing the attr...

A model for comparing the inventory costs of purchasing under the economic order quantity (EOQ) system and the just-intime (JIT) order purchasing system in existing literature concluded that JIT purchasing was virtually always the preferable inventory ordering system especially at high level of annual demand. By expanding the classical EOQ model, this paper shows that it is possible for the EOQ...

This section is devoted to the Economic Production Quantity (EPQ) model, its specialization to the Economic Order Quantity (EOQ) model and its extension to allow backorders. The next section deals with multiple products. The primary driver to hold inventories is the presence of a fixed production/ordering cost that is incurred every time a positive number of units are produced/ordered. We wish ...

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 most important advantage of an economic order quantity (EOQ) system is its ability to handle the unexpected demand. A model for comparing the inventory costs of purchasing under the EOQ system and the just-in-time (JIT) order purchasing system in existing literature concluded that JIT purchasing was virtually always the preferable inventory ordering system. By expanding the classical EOQ mo...

In this paper, we address the problem of deciding the optimal ordering quantity and frequency for a supplier– retailer logistic system in which the transportation cost as well as the multiple uses of the vehicles are considered. Based on the traditional economic order quantity (EOQ) formula, a modified EOQ model is set up and an algorithm for the model is presented. Computational results verify...

Deterministic Economic Order Quantity EOQ models have been studied intensively in the literature, where the demand process is described by an ordinary differential equation, and the objective is to obtain an EOQ, which minimizes the total cost per unit time. The total cost per unit time consists of a “discrete” part, the setup cost, which is incurred at the time of ordering, and a “continuous” ...