Data & Analytics

The Average Says You're Fine

Ten places, one in five does not turn up, so take twelve bookings — the average says 9.6 arrive and 9.6 is under ten. That is exactly right, and it is the wrong number to look at: twelve bookings is over capacity on 27.49% of days. Thirteen is a coin toss at 50.17%. Ten is never over and leaves 2.00 places empty. The average is a fine estimate of arrivals; it simply does not answer the question being asked, which is about the tail. The two rules of thumb also disagree with each other — 'add the no-show rate' says twelve, 'divide by the show-up rate' says thirteen — and neither states the risk it is accepting. This page states it, then asks the only question that can be answered: how often are you willing to be over? At a 10% tolerance the answer here is eleven bookings, over on 8.59% of days with 1.29 places expected empty.

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Salons, barbershops, clinics, studios and anyone taking bookings against fixed capacity, and the managers who have to justify an overbooking rule.

How it works

  1. Enter your places, your measured no-show rate, and how often you are willing to be over.
  2. Compare the two rules of thumb — and the risk each one silently accepts.
  3. Read the largest booking count that stays inside your tolerance.
  4. Look at the whole table: empty places against turned-away customers is the trade you are making.

What you gain

  • Tells you how often you'll actually end up over capacity at a given booking level — not just the average number of no-shows — so overbooking becomes a chosen risk instead of a guess.

Screenshot

Technical details

Standard10.99 USD · 1500 requests · 31-day license · one-time payment · 31-day access
Pro21.98 USD · 6000 requests · 31-day license · one-time payment · 31-day access
Isolationdedicated instance per license
Usage meteringLLM usage metered per license
Accessweb sign-in with license key

How to set up & use

  1. Buy the license — your key (lic_...) appears on the order page and in your email.
  2. Sign in at app.synoriaai.com with your license key.
  3. No installation — the product runs in your browser, on your own isolated instance.
  4. Enter your capacity, the expected no-show rate, and how often you are willing to be over capacity.
  5. Click 'Calculate' to see the two common rules of thumb and their over-capacity probabilities.
  6. Review the suggested booking count that stays within your tolerance, along with its exact over-capacity percentage.
  7. Check the verdict line to see the expected arrivals and confirm the result matches your risk preference.

Frequently asked questions

Is my data safe?

Yes, all calculations happen in your browser. No data is sent to any server, and nothing is stored.

What does this tool not do?

It does not account for correlated arrivals (e.g., parties, weather, holidays), so real over-capacity risk may be higher than shown. It also does not merge risk and cost into one recommendation.

Why do the two rules of thumb give different results?

They use different arithmetic—adding the no-show rate versus dividing by the show-up rate—so they yield different booking counts and over-capacity probabilities. The tool shows both for comparison.

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