Hexaly × Renault Group
below 1.5% optimality gap within 5 minutes on instances with 45,000 variables and 100,000 constraints
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The case study earns credibility by publishing the exact problem dimensions: 45,000 integer variables, 100,000 constraints, four ordered objectives, and a sub-1.5% optimality gap in under five minutes. The competitive displacement of IBM ILOG CPLEX is named explicitly, which sharpens the differentiation claim. The mechanism is explained well enough that a technical reader understands why Hexaly won, though the business outcome is expressed in cost-category terms rather than a hard euro figure.
Publishing the raw problem dimensions (variable count, constraint count, domain ranges, solve time, optimality gap) as a mini benchmark table inside the narrative. It replaces vague performance claims with verifiable technical evidence.
Click to enlarge ↗ This is editorial commentary and curation. The case study, screenshot, and all metrics are Hexaly's published work; we link to the source and lead with our analysis.