Little's Law solver API

Solves Little's Law (L = λ × W) given any two of WIP, throughput, and lead time, returning the solved variable and full triple with units. Answers 'What's my lead time given WIP and throughput?', 'How many items will be in flow at this throughput?'.

Price$0.02per request

MethodPOST

Route/v1/scheduling/littles-law

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

schedulingcapacitylittles-lawthroughputwiplead-timekanbanqueue

API URLhttps://x402.hexl.dev/v1/scheduling/littles-law

Integration docs

Example request

{
  "throughput": 5,
  "leadTime": 4,
  "timeUnit": "day"
}

Example response

{
  "solvedFor": "wip",
  "wip": 20,
  "throughput": 5,
  "leadTime": 4,
  "units": {
    "wip": "items",
    "throughput": "items/day",
    "leadTime": "day"
  },
  "relationship": "WIP = throughput × leadTime",
  "interpretation": "20 items in flow = 5 items/day × 4 day lead time."
}

Input schema

{
  "type": "object",
  "required": [],
  "properties": {
    "wip": {
      "type": "number",
      "examples": [
        20
      ]
    },
    "throughput": {
      "type": "number",
      "examples": [
        5
      ]
    },
    "leadTime": {
      "type": "number",
      "examples": [
        4
      ]
    },
    "timeUnit": {
      "type": "string",
      "examples": [
        "day"
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}