Mathematical Validation & Test Vectors
To ensure total engineering integrity, all algorithms are continuously validated against standard textbook benchmarks in operations research.
Vitest Automated Test Suite: 11 / 11 Tests Passing (100%)
1. Wilson-Harris Classic EOQ Benchmark
Source: Nahmias, Production & Operations Analysis, 6th ed., Ch. 4.
Inputs: D = 10,000 units/yr, S = $50/order, C = $10/unit, i = 20% (H = $2/unit/yr)
Published Q* = 707.1 units | AshToolbox Engine = 707 units (Exact Match)
Total Annual Cost = $101,414
2. Safety Stock & Correlated Lead Time
Source: Chopra & Meindl, Supply Chain Management, 7th ed., Ch. 12.
Inputs: d_bar = 100/wk, sigma_D = 20, L_bar = 4 wks, sigma_L = 1 wk, CSL = 95%
Published sigma_DL = 107.7 units | AshToolbox Engine = 107.7 units
Published SS = 177 units | AshToolbox Engine = 177 units (Exact Match)
3. Chen et al. Bullwhip Lower Bound
Source: Management Science 46(3), 2000, pp. 436-443.
Formula: 1 + 2L/p + 2L^2/p^2 with L = 2, p = 5
Analytical Bound = 2.12 | AshToolbox Engine = 2.12 (Exact Match)