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Chapter 2: Problem 6

What is the key difference in the modeling assumptions between the \(\mathrm{EOQ}\) and the Wagner-Whitin models?

Short Answer

Expert verified
Answer: The primary difference between the EOQ and Wagner-Whitin models in terms of demand is that the EOQ model assumes constant demand over time, whereas the Wagner-Whitin model allows for variable demand across different time periods.

Step by step solution

01

EOQ Model Assumptions

The EOQ model assumes constant demand over time, and the replenishment lead time is constant as well. Other key assumptions include: 1. The ordering cost per order and the holding cost per unit per time period are constant. 2. The demand for the item is deterministic (known). 3. The stock is replenished instantaneously. 4. The objective is to minimize total inventory cost that consists of ordering and holding costs.
02

Wagner-Whitin Model Assumptions

Unlike the EOQ model, the Wagner-Whitin model allows for time-varying demand and does not assume instant replenishment. The main assumptions of the Wagner-Whitin model include: 1. Demand for each time period is known. 2. The replenishment lead time is zero. 3. Ordering and holding costs are linear (no discounts with increased order quantities). 4. The objective is to minimize total inventory cost, which includes setup, holding, and backorder costs over a planning horizon.
03

Key Difference

The primary difference between the EOQ and Wagner-Whitin models lies in the treatment of demand. The EOQ model assumes that demand is constant and occurs at a uniform rate over time, while the Wagner-Whitin model allows for variable demand across different time periods. This makes the Wagner-Whitin model more suitable for situations where demand changes in a predictable manner and the EOQ model more appropriate for items with steady, constant demand.

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Most popular questions from this chapter

Why does increasing the variability of the demand process tend to require a higher level of safety stock (i.e., a higher reorder point)?

Give at least three criticisms of the validity of the Wapner-Whitin model.

Suppose you are stocking parts purchased from vendors in a warehouse. How could you use a ( \(Q, r\) ) model to determine whether a vendor of a part with a higher price but a shorter lead time is offering a good deal? What other factors should you consider in deciding to change vendors?

In a multiproduct reorder point problem subject to an aggregate service constraint, what will be the effect of increasing the cost of one of the parts on the fill rate of that part? On the fill rates of the other parts?

What is the key difference between the EOQ model and the ( \(Q, r\) ) model? Betwoen the base stock model and the \((Q, r)\) model?
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