7.7
商業流通事業者は、発注頻度と在庫保有量の間でトレードオフに直面することがよくあります。発注頻度が高すぎると管理コストが増大し、頻度の低い大量発注では保管費や保険料が増加し、資金が在庫に拘束されます。経済的発注量(EOQ)モデルは、このバランスを取るための定量的アプローチを提供し、企業が発注費用および…
業務用清掃用品販売業者である CleanPro は、非効率的な注文慣行により在庫コストの上昇に直面しています。
少量の注文が頻繁になると注文費用が増加し、大量の大量注文では保管コストや保険コストが増加します。
その結果、CleanProは全体的な在庫コストの増加と業務効率の低下に直面しています。
同社は、この問題に対処するために、経済注文数量モデルまたはEOQを適用することを決定しました。
このモデルは、発注コストと保有コストを含む総在庫コストを最小限に抑える最適な注文数量を決定します。
EOQは、年間需要の2倍に発注コストを掛けたものを、ユニットあたりの年間保有コストで割った平方根として計算されます。
CleanProは、毎年1万個の製品を販売しています。
注文費用は 100 ドルで、ユニットあたりの年間保有コストは 2 ドルです。
EOQ 式を使用すると、最適な注文数量は 1,000 単位として計算されます。
EOQは、需要が一定で、リードタイムが一定で、コスト要因が安定している場合に最も効果的です。
View the full transcript and gain access to JoVE Business videos
Q1: What problem does the Economic Order Quantity model solve for inventory management?
EOQ addresses the cost trade-off between frequent small orders and large bulk purchases. Frequent orders inflate administrative expenses, while bulk orders increase storage, insurance, and capital tied up in inventory. EOQ identifies the optimal order quantity that minimizes combined ordering and holding costs, improving operational efficiency and reducing overall inventory expenses.
Q2: How is Economic Order Quantity calculated?
EOQ equals the square root of twice the annual demand multiplied by the ordering cost, divided by the annual holding cost per unit. For example, if annual demand is 10,000 units, ordering cost is $100, and holding cost per unit is $2, the EOQ formula yields an optimal order quantity of 1,000 units that minimizes total inventory costs.
Q3: What assumptions must hold for EOQ to be effective?
EOQ works best when demand is consistent, lead times remain constant, and cost factors stay stable. However, real business environments often experience seasonal demand fluctuations, bulk discount opportunities, or supply chain disruptions. When these assumptions don't hold, EOQ should be adapted or supplemented with other inventory models to maintain accuracy.
Q4: How do ordering costs and holding costs affect the optimal order quantity?
Ordering costs and holding costs create opposing pressures on order quantity. Higher ordering costs push toward larger orders to reduce frequency, while higher holding costs push toward smaller, more frequent orders. EOQ mathematically balances these competing factors to find the order size that minimizes their combined impact on total inventory expenses.
Q5: Why might Just-in-Time inventory be considered an alternative to EOQ?
Just-in-Time inventory systems minimize holding costs by receiving goods only when needed, contrasting with EOQ's fixed order quantity approach. While EOQ assumes stable demand and costs, just in time inventory works best with reliable suppliers and predictable demand. Businesses may use just in time inventory when holding costs are extremely high or supply chain reliability is strong.
Q6: Should safety stock be used alongside EOQ calculations?
Yes, incorporating safety stock is often necessary even when using EOQ as a foundation. Safety stock buffers against delivery delays and demand variability that EOQ's assumptions don't account for. This additional inventory protects against stockouts when actual conditions deviate from the stable demand and lead times that EOQ presumes.
Q7: How can bulk discounts affect the use of EOQ in practice?
Bulk discounts complicate EOQ because suppliers often offer lower per-unit prices for larger orders, creating incentives to order beyond the calculated EOQ. When significant discounts are available, businesses must compare the savings from bulk pricing against the increased holding costs. EOQ should be adapted or supplemented with quantity discount models to make optimal ordering decisions.