Service-level z-score calculator API

Convert a target cycle service level (probability) into its safety-factor z via the inverse standard-normal CDF (Acklam's algorithm) — the multiplier behind every safety-stock and reorder-point calculation. Answers 'z for 95% service level','safety factor for 99% fill','what z-score for my service target'.

Price$0.01per request

MethodPOST

Route/v1/calc/logi-service-level-z

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calclogisticsinventoryservice-levelz-scoresafety-stockstatisticsinverse-normal

API URLhttps://x402.hexl.dev/v1/calc/logi-service-level-z

Integration docs

Example request

{
  "serviceLevel": 0.95
}

Example response

{
  "formula": "z = Φ⁻¹(serviceLevel)  (inverse standard-normal CDF)",
  "serviceLevel": 0.95,
  "zScore": 1.6449,
  "rating": "high",
  "interpretation": "A 95.00% cycle service level requires holding 1.6449 standard deviations of demand variability as safety stock.",
  "inputs": {
    "serviceLevel": 0.95
  }
}

Input schema

{
  "type": "object",
  "required": [
    "serviceLevel"
  ],
  "properties": {
    "serviceLevel": {
      "type": "number",
      "description": "target cycle service level probability (0-1)",
      "examples": [
        0.95
      ]
    }
  }
}

Output schema

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