Calculators

Economic Production Quantity (EPQ) calculator API

Compute the optimal production lot size via EPQ = sqrt(2·D·S/H)·sqrt(p/(p-d)) for the finite-replenishment-rate model, with the resulting max inventory level — the production analogue of EOQ. Answers 'optimal production batch size','EPQ for my line','max inventory during a production run'.

Price$0.01per request

MethodPOST

Route/v1/calc/logi-epq

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calclogisticsinventoryepqproductionmanufacturinglot-sizeoptimization

API URLhttps://x402.hexl.dev/v1/calc/logi-epq

Integration docs

Example request

{
  "annualDemand": 12000,
  "setupCost": 50,
  "holdingCost": 3,
  "productionRate": 200,
  "demandRate": 100
}

Example response

{
  "formula": "EPQ = sqrt(2·D·S/H)·sqrt(p/(p-d)) ; maxInventory = Q·(1 - d/p)",
  "economicProductionQuantity": 894.43,
  "maxInventoryLevel": 447.21,
  "inputs": {
    "annualDemand": 12000,
    "setupCost": 50,
    "holdingCost": 3,
    "productionRate": 200,
    "demandRate": 100
  }
}

Input schema

{
  "type": "object",
  "required": [
    "annualDemand",
    "setupCost",
    "holdingCost",
    "productionRate",
    "demandRate"
  ],
  "properties": {
    "annualDemand": {
      "type": "number",
      "examples": [
        12000
      ]
    },
    "setupCost": {
      "type": "number",
      "description": "setup cost per run S",
      "examples": [
        50
      ]
    },
    "holdingCost": {
      "type": "number",
      "examples": [
        3
      ]
    },
    "productionRate": {
      "type": "number",
      "description": "production rate p (units/period)",
      "examples": [
        200
      ]
    },
    "demandRate": {
      "type": "number",
      "description": "demand rate d (units/period), must be < p",
      "examples": [
        100
      ]
    }
  }
}

Output schema

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