FA-60076 / Inventory cost layering / Open access
First-expired-first-out lot picking: same-expiry tie-break · case 01
Among lots with the same expiry the pick order is unstable against the stated lot-id rule.
ROOT CAUSE
Ties on expiry are broken by descending unit cost instead of lot id.
THE FAILURE
Ties on expiry are broken by descending unit cost instead of lot id.
Unsuccessful approach: Breaking ties by descending lot id reverses the stipulated order.
Case contract
Input {lots:[[lot,qty,expiry_day,unit_cost]], today, order_qty, min_shelf}. A lot is eligible when expiry_day - today >= min_shelf. Eligible lots are picked by earliest expiry, ties by lot id ascending. If eligible stock < order_qty return {"error":"insufficient","available":eligible qty}. Return {picks:[[lot,qty]], cost}.
Why this case matters
Inventory valuation and cost-of-goods decisions depend on this rule.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
today = x['today']
elig = [l for l in x['lots'] if l[2] - today >= x['min_shelf']]
avail = sum(l[1] for l in elig)
if avail < x['order_qty']:
return {'error': 'insufficient', 'available': avail}
elig.sort(key=lambda l: (l[2], -l[3]))
need = x['order_qty']
picks = []
cost = 0
for lot, qty, exp, unit in elig:
if need == 0:
break
take = min(need, qty)
picks.append([lot, take])
cost += take * unit
need -= take
return {'picks': picks, 'cost': cost}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 7, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 2]], 'cost': 80}], ['shelf boundary', {'lots': [['A', 4, 106, 10], ['B', 4, 200, 11]], 'today': 101, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 6, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 6, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 381, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 8, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 3]], 'cost': 90}], ['shelf boundary', {'lots': [['A', 4, 107, 10], ['B', 4, 200, 11]], 'today': 102, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 7, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 7, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 382, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 6, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 1]], 'cost': 70}], ['shelf boundary', {'lots': [['A', 4, 108, 10], ['B', 4, 200, 11]], 'today': 103, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 8, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 8, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 383, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 7, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 2]], 'cost': 80}], ['shelf boundary', {'lots': [['A', 4, 109, 10], ['B', 4, 200, 11]], 'today': 104, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 9, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 9, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 384, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 8, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 3]], 'cost': 90}], ['shelf boundary', {'lots': [['A', 4, 110, 10], ['B', 4, 200, 11]], 'today': 105, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 10, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 10, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 385, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]]]
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 |
|---|---|---|---|
| earliest expiry | {'cost': 80, 'picks': [['L1', 5], ['L3', 2]]} | {'cost': 80, 'picks': [['L1', 5], ['L3', 2]]} | Passed |
| shelf boundary | {'cost': 30, 'picks': [['A', 3]]} | {'cost': 30, 'picks': [['A', 3]]} | Passed |
| insufficient | {'available': 4, 'error': 'insufficient'} | {'available': 4, 'error': 'insufficient'} | Passed |
| tie by lot | {'cost': 23, 'picks': [['Z9', 2], ['A1', 1]]} | {'cost': 22, 'picks': [['A1', 2], ['Z9', 1]]} | Failed |
| expired skipped | {'cost': 8, 'picks': [['NEW', 4]]} | {'cost': 8, 'picks': [['NEW', 4]]} | Passed |
| zero order | {'cost': 0, 'picks': []} | {'cost': 0, 'picks': []} | Passed |
| big lots small order | {'cost': 9, 'picks': [['C2', 1], ['A4', 1]]} | {'cost': 9, 'picks': [['C2', 1], ['A4', 1]]} | Passed |
SHA-256 / ed747aa1c90d96517d0582dce9594bc0d5023c87fc515d54a88c085505df1eb1
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
today = x['today']
elig = [l for l in x['lots'] if l[2] - today >= x['min_shelf']]
avail = sum(l[1] for l in elig)
if avail < x['order_qty']:
return {'error': 'insufficient', 'available': avail}
elig.sort(key=lambda l: (l[2], l[0]), reverse=True)
elig.sort(key=lambda l: l[2])
need = x['order_qty']
picks = []
cost = 0
for lot, qty, exp, unit in elig:
if need == 0:
break
take = min(need, qty)
picks.append([lot, take])
cost += take * unit
need -= take
return {'picks': picks, 'cost': cost}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 7, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 2]], 'cost': 80}], ['shelf boundary', {'lots': [['A', 4, 106, 10], ['B', 4, 200, 11]], 'today': 101, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 6, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 6, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 381, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 8, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 3]], 'cost': 90}], ['shelf boundary', {'lots': [['A', 4, 107, 10], ['B', 4, 200, 11]], 'today': 102, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 7, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 7, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 382, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 6, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 1]], 'cost': 70}], ['shelf boundary', {'lots': [['A', 4, 108, 10], ['B', 4, 200, 11]], 'today': 103, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 8, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 8, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 383, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 7, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 2]], 'cost': 80}], ['shelf boundary', {'lots': [['A', 4, 109, 10], ['B', 4, 200, 11]], 'today': 104, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 9, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 9, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 384, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]], [['earliest expiry', {'lots': [['L3', 5, 120, 10], ['L1', 5, 110, 12], ['L2', 5, 130, 9]], 'today': 100, 'order_qty': 8, 'min_shelf': 5}, {'picks': [['L1', 5], ['L3', 3]], 'cost': 90}], ['shelf boundary', {'lots': [['A', 4, 110, 10], ['B', 4, 200, 11]], 'today': 105, 'order_qty': 3, 'min_shelf': 5}, {'picks': [['A', 3]], 'cost': 30}], ['insufficient', {'lots': [['A', 4, 150, 10], ['B', 9, 101, 11]], 'today': 100, 'order_qty': 10, 'min_shelf': 10}, {'error': 'insufficient', 'available': 4}], ['tie by lot', {'lots': [['Z9', 2, 140, 8], ['A1', 2, 140, 7], ['M5', 9, 150, 6]], 'today': 100, 'order_qty': 3, 'min_shelf': 1}, {'picks': [['A1', 2], ['Z9', 1]], 'cost': 22}], ['expired skipped', {'lots': [['OLD', 50, 90, 1], ['NEW', 10, 300, 2]], 'today': 100, 'order_qty': 4, 'min_shelf': 0}, {'picks': [['NEW', 4]], 'cost': 8}], ['zero order', {'lots': [['A', 3, 150, 10]], 'today': 100, 'order_qty': 0, 'min_shelf': 0}, {'picks': [], 'cost': 0}], ['big lots small order', {'lots': [['B7', 100, 400, 3], ['C2', 1, 385, 5], ['A4', 2, 390, 4]], 'today': 100, 'order_qty': 2, 'min_shelf': 30}, {'picks': [['C2', 1], ['A4', 1]], 'cost': 9}]]]
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 |
|---|---|---|---|
| earliest expiry | {'cost': 80, 'picks': [['L1', 5], ['L3', 2]]} | {'cost': 80, 'picks': [['L1', 5], ['L3', 2]]} | Passed |
| shelf boundary | {'cost': 30, 'picks': [['A', 3]]} | {'cost': 30, 'picks': [['A', 3]]} | Passed |
| insufficient | {'available': 4, 'error': 'insufficient'} | {'available': 4, 'error': 'insufficient'} | Passed |
| tie by lot | {'cost': 23, 'picks': [['Z9', 2], ['A1', 1]]} | {'cost': 22, 'picks': [['A1', 2], ['Z9', 1]]} | Failed |
| expired skipped | {'cost': 8, 'picks': [['NEW', 4]]} | {'cost': 8, 'picks': [['NEW', 4]]} | Passed |
| zero order | {'cost': 0, 'picks': []} | {'cost': 0, 'picks': []} | Passed |
| big lots small order | {'cost': 9, 'picks': [['C2', 1], ['A4', 1]]} | {'cost': 9, 'picks': [['C2', 1], ['A4', 1]]} | Passed |
SHA-256 / 8154029cfc63c452774e98d92ea1cd61ac93deecbe4c482f6c003a30bb49fffc
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 7 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗Verification & scope
Stipulated bounded teaching model with explicit toy rules; not an accounting-standard implementation. 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 2026-09-29T14:46:42.379360+00:00.
Case digest / 967696f43d4a3138f9e0428c36c341633fd673a899edb5a6e3a19e1cb9047c61