{
  "name": "Packrift Packingsolver Constraint Atlas",
  "version": "v2026.05.31-constraint-atlas",
  "generated_at": "2026-05-31T15:36:37.595Z",
  "canonical_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas.html",
  "publisher": {
    "name": "Packrift",
    "url": "https://packrift.com/"
  },
  "count_treatment": "Owned Packrift public pages and data sidecars only; not a third-party backlink, not SEO-tool-visible referring-domain proof, and not an optimal-solution claim.",
  "boundaries": [
    "Generated from Packrift public benchmark fixture summaries.",
    "Scenario fixtures are not real customer orders.",
    "Cube-utilization bands are review bands, not proof that the selected carton is optimal.",
    "The atlas is intended for maintainers, dataset reviewers, ecommerce operations analysts, and agents inspecting cartonization input quality."
  ],
  "fill_bands": [
    {
      "id": "low-fill-review",
      "label": "Low-fill review",
      "shortLabel": "Low fill",
      "notes": "The candidate carton has substantial spare cube. Use this band to inspect whether the item mix is intentionally protected or whether a smaller carton should be considered."
    },
    {
      "id": "balanced-fill",
      "label": "Balanced-fill review",
      "shortLabel": "Balanced",
      "notes": "The generated fixture lands in the middle of the cube-utilization range. These examples are useful for normal fit, padding, and item-count checks."
    },
    {
      "id": "tight-fill-review",
      "label": "Tight-fill review",
      "shortLabel": "Tight fill",
      "notes": "The candidate carton is close to full by estimated item cube. Use this band to inspect tolerance, rotation, crush-risk, and manual-packing feasibility."
    }
  ],
  "scenario_count": 350,
  "family_count": 10,
  "segment_count": 30,
  "family_stats": [
    {
      "family": "apparel-return",
      "family_label": "Apparel return",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/apparel-return.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.601",
      "median_cube_utilization": "0.667",
      "min_cube_utilization": "0.185",
      "max_cube_utilization": "0.815",
      "avg_line_count": "2.78",
      "multi_line_share_pct": "97.2",
      "low_fill_count": 3,
      "balanced_fill_count": 17,
      "tight_fill_count": 16,
      "top_cartons": [
        {
          "value": "1196",
          "count": 3
        },
        {
          "value": "13135",
          "count": 3
        },
        {
          "value": "141010",
          "count": 3
        },
        {
          "value": "1888",
          "count": 3
        },
        {
          "value": "241212W",
          "count": 3
        },
        {
          "value": "261010",
          "count": 3
        },
        {
          "value": "282025",
          "count": 3
        },
        {
          "value": "34106",
          "count": 3
        }
      ]
    },
    {
      "family": "beauty-sampler",
      "family_label": "Beauty sampler",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/beauty-sampler.html",
      "scenario_count": 33,
      "avg_cube_utilization": "0.481",
      "median_cube_utilization": "0.516",
      "min_cube_utilization": "0.023",
      "max_cube_utilization": "0.819",
      "avg_line_count": "2",
      "multi_line_share_pct": "54.5",
      "low_fill_count": 11,
      "balanced_fill_count": 11,
      "tight_fill_count": 11,
      "top_cartons": [
        {
          "value": "111113",
          "count": 3
        },
        {
          "value": "1188",
          "count": 3
        },
        {
          "value": "121236",
          "count": 3
        },
        {
          "value": "1287",
          "count": 3
        },
        {
          "value": "15117",
          "count": 3
        },
        {
          "value": "1964",
          "count": 3
        },
        {
          "value": "281212",
          "count": 3
        },
        {
          "value": "30126",
          "count": 3
        }
      ]
    },
    {
      "family": "book-media",
      "family_label": "Book and media",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/book-media.html",
      "scenario_count": 33,
      "avg_cube_utilization": "0.644",
      "median_cube_utilization": "0.698",
      "min_cube_utilization": "0.175",
      "max_cube_utilization": "0.818",
      "avg_line_count": "2.73",
      "multi_line_share_pct": "100",
      "low_fill_count": 4,
      "balanced_fill_count": 13,
      "tight_fill_count": 16,
      "top_cartons": [
        {
          "value": "11812",
          "count": 3
        },
        {
          "value": "131313",
          "count": 3
        },
        {
          "value": "141440",
          "count": 3
        },
        {
          "value": "1466",
          "count": 3
        },
        {
          "value": "18185",
          "count": 3
        },
        {
          "value": "1844",
          "count": 3
        },
        {
          "value": "19123",
          "count": 3
        },
        {
          "value": "241515",
          "count": 3
        }
      ]
    },
    {
      "family": "bulk-lightweight",
      "family_label": "Bulk lightweight",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/bulk-lightweight.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.608",
      "median_cube_utilization": "0.621",
      "min_cube_utilization": "0.206",
      "max_cube_utilization": "0.814",
      "avg_line_count": "2.67",
      "multi_line_share_pct": "94.4",
      "low_fill_count": 5,
      "balanced_fill_count": 20,
      "tight_fill_count": 11,
      "top_cartons": [
        {
          "value": "11118",
          "count": 3
        },
        {
          "value": "15122CT",
          "count": 3
        },
        {
          "value": "181210R",
          "count": 3
        },
        {
          "value": "181818",
          "count": 3
        },
        {
          "value": "18189R",
          "count": 3
        },
        {
          "value": "241624",
          "count": 3
        },
        {
          "value": "24184",
          "count": 3
        },
        {
          "value": "321212",
          "count": 3
        }
      ]
    },
    {
      "family": "electronics-accessory",
      "family_label": "Electronics accessory",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/electronics-accessory.html",
      "scenario_count": 35,
      "avg_cube_utilization": "0.536",
      "median_cube_utilization": "0.593",
      "min_cube_utilization": "0.104",
      "max_cube_utilization": "0.818",
      "avg_line_count": "1.8",
      "multi_line_share_pct": "42.9",
      "low_fill_count": 8,
      "balanced_fill_count": 16,
      "tight_fill_count": 11,
      "top_cartons": [
        {
          "value": "131010",
          "count": 3
        },
        {
          "value": "14144",
          "count": 3
        },
        {
          "value": "15116",
          "count": 3
        },
        {
          "value": "16129",
          "count": 3
        },
        {
          "value": "171410",
          "count": 3
        },
        {
          "value": "181616",
          "count": 3
        },
        {
          "value": "1884",
          "count": 3
        },
        {
          "value": "202015",
          "count": 3
        }
      ]
    },
    {
      "family": "home-goods-small",
      "family_label": "Home goods small",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/home-goods-small.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.542",
      "median_cube_utilization": "0.551",
      "min_cube_utilization": "0.087",
      "max_cube_utilization": "0.816",
      "avg_line_count": "1.92",
      "multi_line_share_pct": "50",
      "low_fill_count": 7,
      "balanced_fill_count": 18,
      "tight_fill_count": 11,
      "top_cartons": [
        {
          "value": "1054",
          "count": 3
        },
        {
          "value": "12126",
          "count": 3
        },
        {
          "value": "151010",
          "count": 3
        },
        {
          "value": "15104",
          "count": 3
        },
        {
          "value": "201814",
          "count": 3
        },
        {
          "value": "26138",
          "count": 3
        },
        {
          "value": "32106",
          "count": 3
        },
        {
          "value": "3266",
          "count": 3
        }
      ]
    },
    {
      "family": "marketplace-replacement",
      "family_label": "Marketplace replacement",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/marketplace-replacement.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.612",
      "median_cube_utilization": "0.724",
      "min_cube_utilization": "0.024",
      "max_cube_utilization": "0.817",
      "avg_line_count": "2.69",
      "multi_line_share_pct": "97.2",
      "low_fill_count": 7,
      "balanced_fill_count": 10,
      "tight_fill_count": 19,
      "top_cartons": [
        {
          "value": "1083",
          "count": 3
        },
        {
          "value": "18123",
          "count": 3
        },
        {
          "value": "181312",
          "count": 3
        },
        {
          "value": "201616",
          "count": 3
        },
        {
          "value": "22228",
          "count": 3
        },
        {
          "value": "242412",
          "count": 3
        },
        {
          "value": "2488",
          "count": 3
        },
        {
          "value": "36106",
          "count": 3
        }
      ]
    },
    {
      "family": "sample-kit",
      "family_label": "Sample kit",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/sample-kit.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.497",
      "median_cube_utilization": "0.537",
      "min_cube_utilization": "0.026",
      "max_cube_utilization": "0.812",
      "avg_line_count": "1.86",
      "multi_line_share_pct": "47.2",
      "low_fill_count": 9,
      "balanced_fill_count": 15,
      "tight_fill_count": 12,
      "top_cartons": [
        {
          "value": "1388",
          "count": 3
        },
        {
          "value": "141212",
          "count": 3
        },
        {
          "value": "16123",
          "count": 3
        },
        {
          "value": "161610",
          "count": 3
        },
        {
          "value": "17117",
          "count": 3
        },
        {
          "value": "18106",
          "count": 3
        },
        {
          "value": "222014",
          "count": 3
        },
        {
          "value": "222210",
          "count": 3
        }
      ]
    },
    {
      "family": "subscription-bundle",
      "family_label": "Subscription bundle",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/subscription-bundle.html",
      "scenario_count": 36,
      "avg_cube_utilization": "0.633",
      "median_cube_utilization": "0.685",
      "min_cube_utilization": "0.142",
      "max_cube_utilization": "0.818",
      "avg_line_count": "2.56",
      "multi_line_share_pct": "94.4",
      "low_fill_count": 4,
      "balanced_fill_count": 15,
      "tight_fill_count": 17,
      "top_cartons": [
        {
          "value": "10108",
          "count": 3
        },
        {
          "value": "1066",
          "count": 3
        },
        {
          "value": "1268",
          "count": 3
        },
        {
          "value": "16146",
          "count": 3
        },
        {
          "value": "171414",
          "count": 3
        },
        {
          "value": "222222",
          "count": 3
        },
        {
          "value": "241010",
          "count": 3
        },
        {
          "value": "24108",
          "count": 3
        }
      ]
    },
    {
      "family": "warehouse-restock",
      "family_label": "Warehouse restock",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/warehouse-restock.html",
      "scenario_count": 33,
      "avg_cube_utilization": "0.477",
      "median_cube_utilization": "0.504",
      "min_cube_utilization": "0.034",
      "max_cube_utilization": "0.819",
      "avg_line_count": "1.91",
      "multi_line_share_pct": "45.5",
      "low_fill_count": 13,
      "balanced_fill_count": 9,
      "tight_fill_count": 11,
      "top_cartons": [
        {
          "value": "10103",
          "count": 3
        },
        {
          "value": "1188R",
          "count": 3
        },
        {
          "value": "13109SC",
          "count": 3
        },
        {
          "value": "161612",
          "count": 3
        },
        {
          "value": "1684",
          "count": 3
        },
        {
          "value": "20146",
          "count": 3
        },
        {
          "value": "2086",
          "count": 3
        },
        {
          "value": "24128R",
          "count": 3
        }
      ]
    }
  ],
  "segments": [
    {
      "family": "apparel-return",
      "family_label": "Apparel return",
      "fill_band": "low-fill-review",
      "fill_band_label": "Low-fill review",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/apparel-return/low-fill-review.html",
      "scenario_count": 3,
      "family_share_pct": "8.3",
      "avg_cube_utilization": "0.247",
      "median_cube_utilization": "0.276",
      "avg_line_count": "2",
      "top_cartons": [
        {
          "value": "441212",
          "count": 3
        }
      ],
      "sample_scenarios": [
        {
          "order_id": "packrift-20260531-0222-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0222-apparel-return.html",
          "target_carton_sku": "441212",
          "estimated_cube_utilization": "0.281",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0102-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0102-apparel-return.html",
          "target_carton_sku": "441212",
          "estimated_cube_utilization": "0.276",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0342-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0342-apparel-return.html",
          "target_carton_sku": "441212",
          "estimated_cube_utilization": "0.185",
          "line_count": 2
        }
      ]
    },
    {
      "family": "apparel-return",
      "family_label": "Apparel return",
      "fill_band": "balanced-fill",
      "fill_band_label": "Balanced-fill review",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/apparel-return/balanced-fill.html",
      "scenario_count": 17,
      "family_share_pct": "47.2",
      "avg_cube_utilization": "0.51",
      "median_cube_utilization": "0.53",
      "avg_line_count": "2.53",
      "top_cartons": [
        {
          "value": "241212W",
          "count": 3
        },
        {
          "value": "282025",
          "count": 3
        },
        {
          "value": "864W",
          "count": 3
        },
        {
          "value": "1196",
          "count": 2
        },
        {
          "value": "1888",
          "count": 2
        },
        {
          "value": "34106",
          "count": 2
        }
      ],
      "sample_scenarios": [
        {
          "order_id": "packrift-20260531-0002-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0002-apparel-return.html",
          "target_carton_sku": "864W",
          "estimated_cube_utilization": "0.693",
          "line_count": 1
        },
        {
          "order_id": "packrift-20260531-0272-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0272-apparel-return.html",
          "target_carton_sku": "DGBL1010W",
          "estimated_cube_utilization": "0.674",
          "line_count": 4
        },
        {
          "order_id": "packrift-20260531-0182-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0182-apparel-return.html",
          "target_carton_sku": "34106",
          "estimated_cube_utilization": "0.66",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0252-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0252-apparel-return.html",
          "target_carton_sku": "261010",
          "estimated_cube_utilization": "0.589",
          "line_count": 4
        },
        {
          "order_id": "packrift-20260531-0202-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0202-apparel-return.html",
          "target_carton_sku": "241212W",
          "estimated_cube_utilization": "0.588",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0322-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0322-apparel-return.html",
          "target_carton_sku": "241212W",
          "estimated_cube_utilization": "0.567",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0282-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0282-apparel-return.html",
          "target_carton_sku": "1888",
          "estimated_cube_utilization": "0.552",
          "line_count": 2
        },
        {
          "order_id": "packrift-20260531-0122-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0122-apparel-return.html",
          "target_carton_sku": "864W",
          "estimated_cube_utilization": "0.531",
          "line_count": 2
        }
      ]
    },
    {
      "family": "apparel-return",
      "family_label": "Apparel return",
      "fill_band": "tight-fill-review",
      "fill_band_label": "Tight-fill review",
      "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-constraint-atlas/apparel-return/tight-fill-review.html",
      "scenario_count": 16,
      "family_share_pct": "44.4",
      "avg_cube_utilization": "0.763",
      "median_cube_utilization": "0.762",
      "avg_line_count": "3.19",
      "top_cartons": [
        {
          "value": "13135",
          "count": 3
        },
        {
          "value": "141010",
          "count": 3
        },
        {
          "value": "8412",
          "count": 3
        },
        {
          "value": "261010",
          "count": 2
        },
        {
          "value": "DGBL1010W",
          "count": 2
        },
        {
          "value": "1196",
          "count": 1
        }
      ],
      "sample_scenarios": [
        {
          "order_id": "packrift-20260531-0212-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0212-apparel-return.html",
          "target_carton_sku": "13135",
          "estimated_cube_utilization": "0.815",
          "line_count": 3
        },
        {
          "order_id": "packrift-20260531-0332-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0332-apparel-return.html",
          "target_carton_sku": "13135",
          "estimated_cube_utilization": "0.811",
          "line_count": 4
        },
        {
          "order_id": "packrift-20260531-0092-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0092-apparel-return.html",
          "target_carton_sku": "13135",
          "estimated_cube_utilization": "0.807",
          "line_count": 3
        },
        {
          "order_id": "packrift-20260531-0232-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0232-apparel-return.html",
          "target_carton_sku": "141010",
          "estimated_cube_utilization": "0.801",
          "line_count": 4
        },
        {
          "order_id": "packrift-20260531-0352-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0352-apparel-return.html",
          "target_carton_sku": "141010",
          "estimated_cube_utilization": "0.79",
          "line_count": 4
        },
        {
          "order_id": "packrift-20260531-0262-apparel-return",
          "page_url": "https://packrift-benchmark-navigator.vercel.app/packingsolver-scenarios/packrift-20260531-0262-apparel-return.html",
          "target_carton_sku": "1196",
          "estimated_cube_utilization": "0.774",
          "line_count": 2
        },
        {
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