Bin packing approximation claim auditor

Family 118: Bin packing and unbounded configuration-LP gaps. First review, 8 October 2026.

Problem and potential new use

Packing systems can review promises that integer optimum always lies within a fixed additive distance of a configuration-LP value.

Applicability and commercial boundary

Unbounded additive gaps do not mean all approximation ratios are poor, and a constructed instance may not represent a customer's workload.

Initial business decision

Research infrastructure. Buyer demand and profitability remain hypotheses. This first pass does not establish a validated commercial market.

Next verification action

Extract a concrete gap family and add it to a packing benchmark with exact small-case optima.

Evidence scope

Catalog statement reviewed; inspect linked opportunity dossier for any deeper source review. This record alone does not establish full manuscript or proof verification.

Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata for the exact manuscripts and available scope notes.