experiment_version: "1.0"
experiment_id: "TPS-TC-002"
metadata:
name: "Batch Size Reduction with SMED"
description: |
Validate that small batches reduce cycle time when SMED is applied.
Mass production logic says large batches amortize setup costs.
TPS argues queue time reduction outweighs setup frequency increase.
author: "PAIML Engineering"
created: "2025-12-11"
tags: ["tps", "operations", "smed", "one-piece-flow", "batch-sizing"]
equation_model_card:
emc_ref: "operations/batch_sizing_epei"
hypothesis:
null_hypothesis: |
H₀: Reducing batch size increases the frequency of setups, thereby
reducing effective capacity and increasing total Cycle Time.
alternative_hypothesis: |
H₁: With SMED, small batches achieve lower cycle time without
capacity loss.
expected_outcome: "reject"
reproducibility:
seed: 42
ieee_strict: true
simulation:
scenarios:
- name: "mass_production"
batch_size: 100
setup_time: 30 description: "Traditional large batch with long setup"
- name: "lean_with_smed"
batch_size: 10
setup_time: 3 description: "Small batch enabled by SMED"
- name: "lean_without_smed"
batch_size: 10
setup_time: 30 description: "Small batch without SMED - should fail"
processing:
unit_time: 1.0 cv: 0.3
demand:
rate: 4.0 distribution: "constant"
duration:
warmup: 100
simulation: 500
replications: 20
falsification:
import_from_emc: true
criteria:
- id: "TC2-CT-SMED"
name: "CT reduction with SMED"
condition: "ct_lean_smed < ct_mass * 0.5"
severity: "major"
- id: "TC2-CT-NO-SMED"
name: "CT explosion without SMED"
condition: "ct_lean_no_smed > ct_mass * 2"
severity: "major"
interpretation: "Proves SMED necessity"
- id: "TC2-TH-SMED"
name: "Throughput maintained"
condition: "th_lean_smed >= th_mass * 0.95"
severity: "major"
jidoka:
enabled: true
stop_on_severity: "critical"
statistics:
comparison_test: "anova"
alpha: 0.05
post_hoc: "tukey_hsd"
reporting:
format: "markdown"
output: "reports/tps/tc2_batch_size.md"