Optimization Assurance · Assignment review
Generated weighted facility review
Review complete
Objective units: demand units × cost units per demand unit · 09 October 2026, 01:54 UTC
Submitted cost40
Best checked cost10
Relaxed lower bound0
Best plan proven optimal?Unknown
Review findings
- Selected sites, required IDs, complete whole-client assignments and capacity loads passed exact checks.
Lower bound: Each client may use its cheapest candidate; opening count, required sites and capacities relaxed.
The best checked cost is at most 10 above the optimum for this model. This is a bound on suboptimality, not a measured difference from a known optimum.
Best checked plan reduces submitted cost by 30.
Submitted plan
Open sites: S1
| Site ID | Assigned demand |
|---|
| S1 | 11 |
Client assignments
Best checked plan
Open sites: S0
| Site ID | Assigned demand |
|---|
| S0 | 11 |
Client assignments
Conventional solver
Optimal, as reported by the solver. Solver status and numerical bounds remain separate from independent optimality.
Input provenance
Generated computational control; no customer or geographic data.
Supplied provenance is not independently verified.
- assignments.csv · SHA-256
07f1848832889a6d26361e48b98140460227c4619f7985c01a0e58e7a7839633 - clients.csv · SHA-256
e4f2d183401a764d876da5ef8b07a9884ba540f7c9098ca5d2863265dd3e66b8 - costs.csv · SHA-256
9c6af6a4a52ba4349bbff8ea1527347d1b1326803d2eddb3f341b8d6de3b6bf9 - selected.csv · SHA-256
aa8bae8453188d726480f0b7fdb50f51201bbb5c3d22e30b538b37cd0e7fb729 - sites.csv · SHA-256
c5e37937add99637ca08c1825077847ab948cad1def56ee31deb2e775a19c16f - study.json · SHA-256
f2b376f10cba81f8d82e22f4ef4c06a0b32a6b9f11ff2294d4db0cc7ad7c3a53
Evidence and scope
Exact frozen weighted assignment model only. No strict-metric/source-theorem eligibility, geographic validation or customer benefit is established.
Limits: 512 clients, 128 sites, eight MiB per file, sixteen MiB combined and 128-bit rational input components. Optional solver: two seconds, one worker; exact scales capped at one million and integer range capped conservatively.
Review JSON · File manifest