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The (Q,r) model addresses the question of when and how much to order, aiming to minimize total inventory costs, which typically include ordering costs, holding costs, and shortage costs. It specifies that an order of size Q should be placed when the inventory level reaches a reorder point r. The (Q,r) model is widely applied in various ...
Therefore, in order to get the optimal production quantity we need to set holding cost per year equal to ordering cost per year and solve for quantity (Q), which is the EPQ formula mentioned below. Ordering this quantity will result in the lowest total inventory cost per year.
Cycle inventory. First of all, we need to go through the idea of economic order quantity (EOQ). [6] EOQ is an attempt to balance inventory holding or carrying costs with the costs incurred from ordering or setting up machinery. The total cost will minimized when the ordering cost and the carrying cost equal to each other.
Economic order quantity (EOQ), also known as financial purchase quantity or economic buying quantity, [citation needed] is the order quantity that minimizes the total holding costs and ordering costs in inventory management.
The figure graphs the holding cost and ordering cost per year equations. The third line is the addition of these two equations, which generates the total inventory cost per year. The lowest (minimum) part of the total cost curve will give the economic batch quantity as illustrated in the next section.
There is a setup cost s t incurred for each order and there is an inventory holding cost i t per item per period (s t and i t can also vary with time if desired). The problem is how many units x t to order now to minimize the sum of setup cost and inventory cost.
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