ToolAssay

Little's law L = rate x time in system

Little's law L = rate x time in system: solve for concurrency, throughput or latency given any two; sizes pools.

Answeringour last check, 2026-10-21
1 of 1checks answered this week
836 msmedian answer time
$0.02listed price per call
$0.02price it asked us

Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.

Endpoint

GET https://data-calc.x402tookit.com/littles-law

CategoryEverything else
Provider hostdata-calc.x402tookit.com
Networkseip155:137, eip155:42161, eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp
Payment schemesexact
Self-reported calls, 30 days1 from 1 payers (the provider's figure, not ours)

Our checks, last 30 days

DayResultHTTPAskedTime
2026-10-21 valid payment request 402$0.02 836 ms

Example input (from the provider)

{
  "method": "GET",
  "queryParams": {
    "arrivalRate": 50,
    "timeInSystem": 200,
    "timeUnit": "ms"
  },
  "type": "http"
}

Promised output schema (from the provider)

{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "properties": {
    "input": {
      "additionalProperties": false,
      "properties": {
        "method": {
          "enum": [
            "GET"
          ],
          "type": "string"
        },
        "queryParams": {
          "properties": {
            "arrivalRate": {
              "description": "Throughput lambda: items entering (and leaving) per second",
              "type": "number"
            },
            "itemsInSystem": {
              "description": "Average number L of items in the system (concurrency, connections, queue plus service)",
              "type": "number"
            },
            "timeInSystem": {
              "description": "Average time W an item spends in the system (use timeUnit)",
              "type": "number"
            },
            "timeUnit": {
              "description": "Unit of timeInSystem: ms, s (default), min or h",
              "type": "string"
            }
          },
          "required": [],
          "type": "object"
        },
        "type": {
          "const": "http",
          "type": "string"
        }
      },
      "required": [
        "type",
        "method"
      ],
      "type": "object"
    },
    "output": {
      "properties": {
        "example": {
          "properties": {
            "arrivalRatePerSecond": {
              "type": [
                "null",
                "number"
              ]
            },
            "asOf": {
              "type": [
                "null",
                "string"
              ]
            },
            "degraded": {
              "type": [
                "boolean",
                "null"
              ]
            },
            "disclaimer": {
              "type": [
                "null",
                "string"
              ]
            },
            "itemsInSystem": {
              "type": [
                "null",
                "number"
              ]
            },
            "notChecked": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "poolSizeAt50PercentUtilization": {
              "type": [
                "null",
                "number"
              ]
            },
            "poolSizeAt70PercentUtilization": {
              "type": [
                "null",
                "number"
              ]
            },
            "reasons": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "solvedFor": {
              "type": [
                "null",
                "string"
              ]
            },
            "source": {
              "type": [
                "null",
                "string"
              ]
            },
            "summary": {
              "type": [
                "null",
                "string"
              ]
            },
            "timeInSystemInUnit": {
              "type": [
                "null",
                "number"
              ]
            },
            "timeInSystemSeconds": {
              "type": [
                "null",
                "number"
              ]
            },
            "timeUnit": {
              "type": [
                "null",
                "string"
              ]
            },
            "verdict": {
              "type": [
                "null",
                "string"
              ]
            }
          },
          "type": "object"
        },
        "type": {
          "type": "string"
        }
      },
      "required": [
        "type"
      ],
      "type": "object"
    }
  },
  "required": [
    "input"
  ],
  "type": "object"
}

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