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— Economic Order Quantity (EOQ)

Classic economic order quantity Q* = √(2DS/H), with the order frequency, cycle length, and the annual ordering, holding, and total inventory cost.

Solution

History

Sources:
[1] F. W. Harris, "How many parts to make at once," Factory, The Magazine of Management, vol. 10, no. 2, pp. 135–136, 152, 1913.
[2] E. A. Silver, D. F. Pyke, and R. Peterson, Inventory Management and Production Planning and Scheduling, 3rd ed. New York, NY, USA: Wiley, 1998.
[3] S. Nahmias and T. L. Olsen, Production and Operations Analysis, 7th ed. Long Grove, IL, USA: Waveland Press, 2015.

Reference content only — not a substitute for professional engineering judgment. Verify all values, tolerances, and specifications against current official standards before use in production or safety-critical work. Provided without warranty of accuracy or fitness for any purpose.