Module tps 

Toyota Production System (TPS) Simulation Test Cases.

This module implements the ten canonical TPS simulation test cases from the EDD specification. Each test case validates a governing equation from operations science against simulation data.

Test Case Summary

Case	Hypothesis Tested (H₀)	Verified Principle	Governing Equation
TC-1	Push ≡ Pull Efficiency	CONWIP	Little’s Law
TC-2	Large Batch Efficiency	One-Piece Flow	EPEI / Setup
TC-3	Stochastic Independence	WIP Control	Little’s Law
TC-4	Chase Strategy Stability	Heijunka	Bullwhip Effect
TC-5	Linear Setup Gain	SMED	OEE Availability
TC-6	Specialist Efficiency	Shojinka	Pooling Capacity
TC-7	Layout Irrelevance	Cell Design	Balance Delay
TC-8	Linear Wait Time	Mura Reduction	Kingman’s Formula
TC-9	Linear Inventory Scale	Supermarkets	Square Root Law
TC-10	Kanban ≡ DBR	TOC / DBR	Constraints Theory

References

• [26] Spear, S. & Bowen, H.K. (1999). “Decoding the DNA of TPS”
• [27] Liker, J.K. (2004). “The Toyota Way”
• [28] Hopp, W.J. & Spearman, M.L. (2008). “Factory Physics”
• [33] Hopp, W.J. & Spearman, M.L. (2004). “To Pull or Not to Pull”

Structs

TpsMetrics

Metrics from a TPS simulation.

TpsTestResult

Result of running a TPS test case.

Enums

TpsTestCase

TPS Test Case identifier.

Functions

validate_bullwhip_effect

Validates Bullwhip Effect amplification.

validate_cell_layout

Validates Cell Layout Design effects.

validate_kanban_vs_dbr

Validates Kanban vs DBR (Drum-Buffer-Rope) comparison.

validate_kingmans_curve

Validates Kingman’s hockey stick curve.

validate_littles_law

Validates Little’s Law holds under given conditions.

validate_push_vs_pull

Validates Push vs Pull system performance.

validate_shojinka

Validates Shojinka (Cross-Training) effects.

validate_smed_setup

Validates SMED (Setup Time Reduction) effects.

validate_square_root_law

Validates Square Root Law for safety stock.