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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.
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 ...
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. Let us denote inventory:
This 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. This graph should give a better understanding of the derivation of the optimal ordering quantity equation, i.e., the EPQ equation
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.
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In such a case, there is no "excess inventory", that is, inventory that would be left over of another product when the first product runs out. Holding excess inventory is sub-optimal because the money spent to obtain and the cost of holding it could have been utilized better elsewhere, i.e. to the product that just ran out.