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Operations Science equations for manufacturing and service systems.
This module implements the fundamental equations from operations science that govern queueing, inventory, and production systems. These equations are derived from decades of peer-reviewed research and form the mathematical foundation for simulating production and service systems.
§References
- [30] Little, J.D.C. (1961). “A Proof for the Queuing Formula: L = λW”
- [31] Kingman, J.F.C. (1961). “The single server queue in heavy traffic”
- [32] Lee, H.L., et al. (1997). “The Bullwhip Effect in Supply Chains”
- [33] Hopp, W.J. & Spearman, M.L. (2004). “To Pull or Not to Pull”
Structs§
- Bullwhip
Effect - The Bullwhip Effect: Variance amplification in supply chains.
- Kingman
Formula - Kingman’s VUT Formula for queue wait times.
- Littles
Law - Little’s Law: The fundamental equation relating WIP, throughput, and cycle time.
- Square
Root Law - The Square Root Law for safety stock scaling.