61trust / 100

Erlang Staffing

by Systems Capacity Calculators in Other

x402 APIPassing, checked 10 h ago

Erlang B and C: trunks for a blocking target, or agents for a service level such as 80 percent answered in 20 seconds.

GET
https://data-calc.x402tookit.com/erlang-staffing
Price
$0.02
per call in USDC
Uptime
64.7%
last 30 days
Response time
519 ms
650 ms slowest 5%
Last check
Passed
10 h ago, next any minute now

Run a free test callHow to call it

Reliability

All checks passedSome failedAll failedNot checked

Status and outage history · Atom feed · Watch with other listings

How to call it

GET https://data-calc.x402tookit.com/erlang-staffing

Each call costs $0.02 in USDC on Polygon, paid with the request over x402.

Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.

Example request

From the listing.

GET https://data-calc.x402tookit.com/erlang-staffing?mode=b&targetBlocking=0.01&trafficErlangs=10

Parameters

ParameterTypeRequiredDescription
answerSecondsnumberNoMode c: the answer-time threshold in seconds (default 20)
handlingSecondsnumberNoMode c: average handling time in seconds (default 180)
modestringNoc (default): agents for a service level, queueing allowed. b: trunks for a blocking target, no queue
serviceLevelnumberNoMode c: fraction answered within answerSeconds, e.g. 0.8 (default 0.8)
targetBlockingnumberNoMode b: acceptable blocking probability, e.g. 0.01 (default 0.01)
trafficErlangsnumberYesOffered load A in erlangs = arrival rate x average handling time (e.g. 120 calls/hour x 3 min = 6 E)

Example response

The provider's example. We can't check it without paying.

Example response, 36 lines
{
  "asOf": "2026-10-11T20:19:39.187Z",
  "blockingAtSolution": 0.007142438157899779,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "mode": "b",
  "neighbours": [
    {
      "blocking": 0.0364969454723708,
      "carriedErlangs": 9.635030545276292,
      "occupancy": 0.6423353696850861,
      "trunks": 15
    },
    {
      "blocking": 0.022301872040363657,
      "carriedErlangs": 9.776981279596363,
      "occupancy": 0.6110613299747727,
      "trunks": 16
    }
  ],
  "notChecked": [
    "shrinkage: breaks, absences and training (divide by the share of time agents are actually on the phones)",
    "abandonment and retrials, which change real offered load",
    "…2 more"
  ],
  "reasons": [
    "Erlang B assumes blocked calls are cleared (lost), with no queue: B(0) = 1, B(k) = A B(k-1) / (k + A B(k-1)).",
    "Trunks needed grow more slowly than traffic: bigger groups run more efficiently."
  ],
  "source": "computed locally (Erlang B and C)",
  "summary": "10 erlangs needs 18 trunks for at most 1.00% blocking (actual 0.714%).",
  "targetBlocking": 0.01,
  "trafficErlangs": 10,
  "trunksNeeded": 18,
  "verdict": "SIZED"
}

Call it from code

The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.

curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://data-calc.x402tookit.com/erlang-staffing?mode=b&targetBlocking=0.01&trafficErlangs=10'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://data-calc.x402tookit.com/erlang-staffing?mode=b&targetBlocking=0.01&trafficErlangs=10' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode
JavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fdata-calc.x402tookit.com%2Ferlang-staffing
const res = await pay("https://data-calc.x402tookit.com/erlang-staffing?mode=b&targetBlocking=0.01&trafficErlangs=10");
console.log(res.status, await res.text());
Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://data-calc.x402tookit.com/erlang-staffing?mode=b&targetBlocking=0.01&trafficErlangs=10")
    print(res.status_code, res.text)

Security scan

No findings

We scan names, descriptions and tool definitions for hidden instructions and other prompt-injection patterns.

Recent checks

WhenResultHTTPTimePrice
10 h agoPassed402558 ms$0.02
23 h agoExpected HTTP 402, got 530530125 ms-
35 h agoPassed402517 ms$0.02
2 days agoExpected HTTP 402, got 53053093 ms-
3 days agoPassed402559 ms$0.02
Show 10 older checks
3 days agoExpected HTTP 402, got 530530142 ms-
3 days agoPassed402650 ms$0.02
5 days agoExpected HTTP 402, got 530530102 ms-
5 days agoExpected HTTP 402, got 530530136 ms-
5 days agoExpected HTTP 402, got 530530201 ms-
5 days agoPassed402519 ms$0.02
5 days agoPassed402538 ms$0.02
6 days agoPassed402565 ms$0.02
6 days agoPassed402513 ms$0.02
6 days agoPassed402509 ms$0.02