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There is also a holding or storage cost for each unit held in storage (sometimes expressed as a percentage of the purchase cost of the item). We want to determine the optimal number of units of the product to order so that we minimize the total cost associated with the purchase, delivery and storage of the product.
The total cost will minimized when the ordering cost and the carrying cost equal to each other. While customer order a significant quantities of products, cycle inventory would be able to save cost and act as a buffer for the company to purchase more supplies. [5] 4. In-transit Inventory [7]
h: holding cost per unit per period. C(T) : the average holding and setup cost per period if the current order spans the next T periods. Let (r 1, r 2, r 3, .....,r n) be the requirements over the n-period horizon. To satisfy the demand for period 1 = The average cost = only the setup cost and there is no inventory holding cost.
There is also a cost for each unit held in storage, commonly known as holding cost, sometimes expressed as a percentage of the purchase cost of the item. Although the EOQ formulation is straightforward, factors such as transportation rates and quantity discounts factor into its real-world application.
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. Let us denote inventory:
The total cost is given by the sum of setup costs, purchase order cost, stockout cost and inventory carrying cost: (,) = + [(,)] + (,) What changes with this approach is the computation of the optimal reorder point:
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.