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Demand for items from inventory is continuous and at a constant rate; Production runs to replenish inventory are made at regular intervals; During a production run, the production of items is continuous and at a constant rate; Production set-up/ordering cost is fixed (independent of quantity produced) The lead time is fixed
Reorder level = Average daily usage rate × Lead time in days = 50 units per day × 7 days = 350 units. When the inventory level reaches 350 units an order should be placed for material. By the time the inventory level reaches zero towards the end of the seventh day from placing the order materials will reach and there is no cause for concern.
The dynamic lot-size model in inventory theory, is a generalization of the economic order quantity model that takes into account that demand for the product varies over time. The model was introduced by Harvey M. Wagner and Thomson M. Whitin in 1958. [1] [2]
If is the cost of setting up a batch, is the annual demand, is the daily rate at which inventory is demanded, is the inventory holding cost per unit per annum, and is the rate of production per annum, the total cost function () is calculated as follows: [13]
The average cost = only the setup cost and there is no inventory holding cost. To satisfy the demand for period 1, 2 Producing lot 1 and 2 in one setup give us an average cost: = + The average cost = (the setup cost + the inventory holding cost of the lot required in period 2.) divided by 2 periods.
Infinite fill rate for the part being produced: Economic order quantity; Constant fill rate for the part being produced: Economic production quantity; Demand is random: classical Newsvendor model; Demand is random, continuous replenishment: Base stock model; Demand varies deterministically over time: Dynamic lot size model
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In accounting, the inventory turnover is a measure of the number of times inventory is sold or used in a time period such as a year. It is calculated to see if a business has an excessive inventory in comparison to its sales level. The equation for inventory turnover equals the cost of goods sold divided by the average inventory.