Operations Research
Economic Order Quantity Models
Solve static EOQ problems and finite-horizon dynamic lot sizing problems interactively. Enter costs and demand, calculate the order policy, and inspect the cost breakdown period by period.
Static model
EOQ
Dynamic model
Wagner-Whitin
Outputs
Costs
Schedule
Orders
Static EOQ Inputs
Q* = sqrt(2DS / H), Total relevant cost = (D / Q)S + (Q / 2)H, and reorder point = daily demand x lead time.
Static EOQ Results
Optimal order quantity, Q*
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Orders per year
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Cycle time
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Annual ordering cost
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Annual holding cost
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Reorder point
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Total annual cost, including purchase cost
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EOQ Cost Curve
Total relevant cost
Ordering cost
Holding cost
Dynamic EOQ Inputs
Separate period demands with commas, spaces, or new lines. The solver assumes zero initial inventory, no shortages, fixed setup cost, and holding cost charged for units carried from one period to the next.
| Period | Demand |
|---|
Wagner-Whitin checks every feasible order span. If an order is placed in period i to satisfy periods i through j, its cost is K plus all carrying cost needed to hold later-period demand.
Dynamic Lot Sizing Results
Minimum total cost
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Number of orders
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Total demand
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| Period | Demand | Order quantity | Ending inventory | Setup cost | Holding cost |
|---|
Order Plan
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Cost by Period
Inventory and Orders by Period
Ending inventory
Order quantity
Demand