FA-94916 / Warehouse slotting and bin packing / Open access

Replenishment: urgency uses raw on-hand · case 01

A face at half its minimum is worked after a face that is nearly full relative to a large minimum.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Task urgency sorts on absolute on-hand units instead of on-hand relative to the minimum.

VERIFIED REPAIR

Order tasks by the on-hand to minimum ratio, then location.

Unsuccessful approach: Ranking by on-hand relative to max measures fullness, not how close the face is to its reorder point.

Case contract

faces [[loc, on_hand, min, max, case_pack, reserve_units]], min >= 1. Replenish when on_hand <= min. Quantity is the largest number of full cases that keeps on_hand <= max, limited to full cases available in reserve. A stocked-out face whose max leaves no room for a full case still gets one case if reserve has one. Zero-quantity tasks are dropped. Tasks are ordered by on_hand/min ascending, then loc.

Why this case matters

Min/max replenishment keeps forward pick faces stocked from reserve.

1 / The failure

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(faces):
    tasks = []
    for loc, oh, mn, mx, cp, reserve in faces:
        if oh > mn:
            continue
        avail = reserve // cp * cp
        qty = (mx - oh) // cp * cp
        qty = min(qty, avail)
        if qty == 0 and oh == 0 and avail >= cp:
            qty = cp
        if qty == 0:
            continue
        tasks.append((oh, loc, qty))
    tasks.sort()
    return [[loc, qty] for _, loc, qty in tasks]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 6', [[['F0', 1, 12, 18, 6, 12], ['F1', 10, 10, 10, 1, 100], ['F2', 0, 6, 9, 12, 3]]], [['F0', 12]]], ['generated mix 14', [[['F0', 13, 12, 24, 6, 3], ['F1', 0, 6, 9, 4, 48], ['F2', 0, 12, 18, 4, 48]]], [['F1', 8], ['F2', 16]]]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 9', [[['F0', 6, 6, 9, 1, 100], ['F1', 1, 12, 18, 6, 0]]], [['F0', 3]]], ['generated mix 17', [[['F0', 1, 12, 24, 4, 12], ['F1', 12, 12, 18, 4, 24], ['F2', 11, 12, 24, 1, 12], ['F3', 11, 10, 40, 12, 100]]], [['F0', 12], ['F2', 12], ['F1', 4]]], ['generated mix 25', [[['F0', 3, 4, 34, 12, 12], ['F1', 0, 10, 10, 12, 48], ['F2', 1, 10, 34, 1, 100], ['F3', 3, 4, 28, 6, 100]]], [['F1', 12], ['F2', 33], ['F0', 12], ['F3', 24]]], ['generated mix 33', [[['F0', 13, 12, 36, 12, 48], ['F1', 5, 4, 10, 6, 100], ['F2', 4, 4, 10, 12, 24]]], []]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 20', [[['F0', 0, 12, 36, 4, 48]]], [['F0', 36]]], ['generated mix 28', [[['F0', 3, 6, 36, 6, 48], ['F1', 1, 12, 42, 12, 3]]], [['F0', 30]]], ['generated mix 36', [[['F0', 0, 6, 6, 4, 3], ['F1', 5, 6, 12, 12, 48]]], []]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 31', [[['F0', 9, 10, 10, 4, 100], ['F1', 5, 6, 36, 1, 24]]], [['F1', 24]]], ['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 47', [[['F0', 0, 10, 22, 12, 0], ['F1', 11, 10, 40, 12, 48]]], []], ['generated mix 56', [[['F0', 0, 6, 12, 6, 12], ['F1', 7, 6, 30, 1, 48], ['F2', 12, 12, 36, 6, 100], ['F3', 6, 6, 30, 6, 3], ['F4', 0, 4, 7, 6, 100]]], [['F0', 12], ['F4', 6], ['F2', 24]]]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 43', [[['F0', 0, 6, 18, 4, 24], ['F1', 3, 4, 34, 4, 48], ['F2', 1, 4, 10, 12, 0], ['F3', 1, 4, 34, 12, 12]]], [['F0', 16], ['F3', 12], ['F1', 28]]], ['generated mix 52', [[['F0', 11, 10, 16, 6, 3], ['F1', 10, 10, 13, 4, 24], ['F2', 0, 4, 28, 1, 100], ['F3', 12, 12, 42, 4, 0]]], [['F2', 28]]], ['generated mix 60', [[['F0', 0, 10, 40, 1, 24], ['F1', 3, 6, 30, 4, 100], ['F2', 4, 4, 4, 6, 100]]], [['F0', 24], ['F1', 24]]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
generated mix 39	`[['F1', 24], ['F0', 4]]`	`[['F0', 4], ['F1', 24]]`	Failed
generated mix 50	`[['F1', 12], ['F2', 24], ['F0', 12]]`	`[['F1', 12], ['F0', 12], ['F2', 24]]`	Failed
at min triggers	`[['A', 24]]`	`[['A', 24]]`	Passed
reserve partial case	`[['A', 12]]`	`[['A', 12]]`	Passed
stockout no reserve	`[]`	`[]`	Passed
above min idle	`[]`	`[]`	Passed
generated mix 6	`[['F0', 12]]`	`[['F0', 12]]`	Passed
generated mix 14	`[['F1', 8], ['F2', 16]]`	`[['F1', 8], ['F2', 16]]`	Passed

SHA-256 / f9d52f1d4fcb2e68c70ef90cb981beb03a0152c593eb298cad11719cb7df19e2

2 / The unsuccessful fix

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(faces):
    tasks = []
    for loc, oh, mn, mx, cp, reserve in faces:
        if oh > mn:
            continue
        avail = reserve // cp * cp
        qty = (mx - oh) // cp * cp
        qty = min(qty, avail)
        if qty == 0 and oh == 0 and avail >= cp:
            qty = cp
        if qty == 0:
            continue
        tasks.append((Fraction(oh, mx), loc, qty))
    tasks.sort()
    return [[loc, qty] for _, loc, qty in tasks]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 6', [[['F0', 1, 12, 18, 6, 12], ['F1', 10, 10, 10, 1, 100], ['F2', 0, 6, 9, 12, 3]]], [['F0', 12]]], ['generated mix 14', [[['F0', 13, 12, 24, 6, 3], ['F1', 0, 6, 9, 4, 48], ['F2', 0, 12, 18, 4, 48]]], [['F1', 8], ['F2', 16]]]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 9', [[['F0', 6, 6, 9, 1, 100], ['F1', 1, 12, 18, 6, 0]]], [['F0', 3]]], ['generated mix 17', [[['F0', 1, 12, 24, 4, 12], ['F1', 12, 12, 18, 4, 24], ['F2', 11, 12, 24, 1, 12], ['F3', 11, 10, 40, 12, 100]]], [['F0', 12], ['F2', 12], ['F1', 4]]], ['generated mix 25', [[['F0', 3, 4, 34, 12, 12], ['F1', 0, 10, 10, 12, 48], ['F2', 1, 10, 34, 1, 100], ['F3', 3, 4, 28, 6, 100]]], [['F1', 12], ['F2', 33], ['F0', 12], ['F3', 24]]], ['generated mix 33', [[['F0', 13, 12, 36, 12, 48], ['F1', 5, 4, 10, 6, 100], ['F2', 4, 4, 10, 12, 24]]], []]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 20', [[['F0', 0, 12, 36, 4, 48]]], [['F0', 36]]], ['generated mix 28', [[['F0', 3, 6, 36, 6, 48], ['F1', 1, 12, 42, 12, 3]]], [['F0', 30]]], ['generated mix 36', [[['F0', 0, 6, 6, 4, 3], ['F1', 5, 6, 12, 12, 48]]], []]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 31', [[['F0', 9, 10, 10, 4, 100], ['F1', 5, 6, 36, 1, 24]]], [['F1', 24]]], ['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 47', [[['F0', 0, 10, 22, 12, 0], ['F1', 11, 10, 40, 12, 48]]], []], ['generated mix 56', [[['F0', 0, 6, 12, 6, 12], ['F1', 7, 6, 30, 1, 48], ['F2', 12, 12, 36, 6, 100], ['F3', 6, 6, 30, 6, 3], ['F4', 0, 4, 7, 6, 100]]], [['F0', 12], ['F4', 6], ['F2', 24]]]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 43', [[['F0', 0, 6, 18, 4, 24], ['F1', 3, 4, 34, 4, 48], ['F2', 1, 4, 10, 12, 0], ['F3', 1, 4, 34, 12, 12]]], [['F0', 16], ['F3', 12], ['F1', 28]]], ['generated mix 52', [[['F0', 11, 10, 16, 6, 3], ['F1', 10, 10, 13, 4, 24], ['F2', 0, 4, 28, 1, 100], ['F3', 12, 12, 42, 4, 0]]], [['F2', 28]]], ['generated mix 60', [[['F0', 0, 10, 40, 1, 24], ['F1', 3, 6, 30, 4, 100], ['F2', 4, 4, 4, 6, 100]]], [['F0', 24], ['F1', 24]]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
generated mix 39	`[['F1', 24], ['F0', 4]]`	`[['F0', 4], ['F1', 24]]`	Failed
generated mix 50	`[['F1', 12], ['F2', 24], ['F0', 12]]`	`[['F1', 12], ['F0', 12], ['F2', 24]]`	Failed
at min triggers	`[['A', 24]]`	`[['A', 24]]`	Passed
reserve partial case	`[['A', 12]]`	`[['A', 12]]`	Passed
stockout no reserve	`[]`	`[]`	Passed
above min idle	`[]`	`[]`	Passed
generated mix 6	`[['F0', 12]]`	`[['F0', 12]]`	Passed
generated mix 14	`[['F1', 8], ['F2', 16]]`	`[['F1', 8], ['F2', 16]]`	Passed

SHA-256 / 75d939395102bc5f343da5fff958e355c653df7066556555ea7bbaa49064cb77

3 / The verified repair

Exit 0

"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(faces):
    tasks = []
    for loc, oh, mn, mx, cp, reserve in faces:
        if oh > mn:
            continue
        avail = reserve // cp * cp
        qty = (mx - oh) // cp * cp
        qty = min(qty, avail)
        if qty == 0 and oh == 0 and avail >= cp:
            qty = cp
        if qty == 0:
            continue
        tasks.append((Fraction(oh, mn), loc, qty))
    tasks.sort()
    return [[loc, qty] for _, loc, qty in tasks]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 6', [[['F0', 1, 12, 18, 6, 12], ['F1', 10, 10, 10, 1, 100], ['F2', 0, 6, 9, 12, 3]]], [['F0', 12]]], ['generated mix 14', [[['F0', 13, 12, 24, 6, 3], ['F1', 0, 6, 9, 4, 48], ['F2', 0, 12, 18, 4, 48]]], [['F1', 8], ['F2', 16]]]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 9', [[['F0', 6, 6, 9, 1, 100], ['F1', 1, 12, 18, 6, 0]]], [['F0', 3]]], ['generated mix 17', [[['F0', 1, 12, 24, 4, 12], ['F1', 12, 12, 18, 4, 24], ['F2', 11, 12, 24, 1, 12], ['F3', 11, 10, 40, 12, 100]]], [['F0', 12], ['F2', 12], ['F1', 4]]], ['generated mix 25', [[['F0', 3, 4, 34, 12, 12], ['F1', 0, 10, 10, 12, 48], ['F2', 1, 10, 34, 1, 100], ['F3', 3, 4, 28, 6, 100]]], [['F1', 12], ['F2', 33], ['F0', 12], ['F3', 24]]], ['generated mix 33', [[['F0', 13, 12, 36, 12, 48], ['F1', 5, 4, 10, 6, 100], ['F2', 4, 4, 10, 12, 24]]], []]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 20', [[['F0', 0, 12, 36, 4, 48]]], [['F0', 36]]], ['generated mix 28', [[['F0', 3, 6, 36, 6, 48], ['F1', 1, 12, 42, 12, 3]]], [['F0', 30]]], ['generated mix 36', [[['F0', 0, 6, 6, 4, 3], ['F1', 5, 6, 12, 12, 48]]], []]], [['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['stockout small max', [[['B', 0, 2, 5, 6, 12]]], [['B', 6]]], ['priority by ratio', [[['X', 5, 10, 40, 5, 100], ['Y', 2, 8, 40, 5, 100], ['Z', 0, 6, 40, 5, 100]]], [['Z', 40], ['Y', 35], ['X', 35]]], ['above min idle', [[['A', 11, 10, 34, 12, 100]]], []], ['generated mix 31', [[['F0', 9, 10, 10, 4, 100], ['F1', 5, 6, 36, 1, 24]]], [['F1', 24]]], ['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 47', [[['F0', 0, 10, 22, 12, 0], ['F1', 11, 10, 40, 12, 48]]], []], ['generated mix 56', [[['F0', 0, 6, 12, 6, 12], ['F1', 7, 6, 30, 1, 48], ['F2', 12, 12, 36, 6, 100], ['F3', 6, 6, 30, 6, 3], ['F4', 0, 4, 7, 6, 100]]], [['F0', 12], ['F4', 6], ['F2', 24]]]], [['generated mix 39', [[['F0', 5, 6, 12, 4, 100], ['F1', 4, 4, 28, 1, 48]]], [['F0', 4], ['F1', 24]]], ['generated mix 50', [[['F0', 11, 12, 36, 1, 12], ['F1', 0, 10, 22, 6, 12], ['F2', 4, 4, 28, 4, 48], ['F3', 1, 4, 7, 12, 0]]], [['F1', 12], ['F0', 12], ['F2', 24]]], ['at min triggers', [[['A', 10, 10, 34, 12, 100]]], [['A', 24]]], ['reserve partial case', [[['A', 0, 5, 30, 12, 20]]], [['A', 12]]], ['stockout no reserve', [[['B', 0, 2, 20, 6, 5]]], []], ['generated mix 43', [[['F0', 0, 6, 18, 4, 24], ['F1', 3, 4, 34, 4, 48], ['F2', 1, 4, 10, 12, 0], ['F3', 1, 4, 34, 12, 12]]], [['F0', 16], ['F3', 12], ['F1', 28]]], ['generated mix 52', [[['F0', 11, 10, 16, 6, 3], ['F1', 10, 10, 13, 4, 24], ['F2', 0, 4, 28, 1, 100], ['F3', 12, 12, 42, 4, 0]]], [['F2', 28]]], ['generated mix 60', [[['F0', 0, 10, 40, 1, 24], ['F1', 3, 6, 30, 4, 100], ['F2', 4, 4, 4, 6, 100]]], [['F0', 24], ['F1', 24]]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
generated mix 39	`[['F0', 4], ['F1', 24]]`	`[['F0', 4], ['F1', 24]]`	Passed
generated mix 50	`[['F1', 12], ['F0', 12], ['F2', 24]]`	`[['F1', 12], ['F0', 12], ['F2', 24]]`	Passed
at min triggers	`[['A', 24]]`	`[['A', 24]]`	Passed
reserve partial case	`[['A', 12]]`	`[['A', 12]]`	Passed
stockout no reserve	`[]`	`[]`	Passed
above min idle	`[]`	`[]`	Passed
generated mix 6	`[['F0', 12]]`	`[['F0', 12]]`	Passed
generated mix 14	`[['F1', 8], ['F2', 16]]`	`[['F1', 8], ['F2', 16]]`	Passed

SHA-256 / d271475fe5eaa2c7079dca599ef8a10b70593208a7687e03557cce53a83c9029

Verification & scope

Stipulated min/max policy with whole-case moves only. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:52:08.838348+00:00.

Case digest / 6de7934c8bfa6085e09dcb794ae1171400ce5f0e021803585403e4cf34713d76