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A 10-minute game, a 45-minute queue: the maths of an entertainment centre

Why queues build up at an entertainment centre and how to cut them: capacity calculations, bookings, a virtual queue and putting staff where they are needed.

October 4, 20266 min read
A 10-minute game, a 45-minute queue: the maths of an entertainment centre

It's Saturday, 4 p.m. A family has come to the entertainment centre. Since leaving home, the kids have talked about nothing but VR.

The VR queue is 40 minutes. The trampolines, 25. There's no free table in the café. An hour later the kids are tired, so are the parents, and they have managed to play for just 15 minutes.

That evening a review appears:

— We came to play and ended up standing in queues.

In the entertainment business, guests don't value the number of attractions — they value minutes of fun. Every minute spent in a queue is taken out of that fun.

In this article we will look, step by step, at how to see when and why queues form and how to shorten them without buying a new attraction.

Step 1. Know when the centre “overflows”

Many centres know that “weekends are busy”. That isn't enough.

You need to know exactly which hours push demand beyond what you can handle.

For a week or two, record how many guests are inside every hour and compare it with the centre's capacity — how many guests you can take without long queues.

For example, a centre comfortably holds 120 guests. At 11 a.m. there are 40 inside, at 2 p.m. 95, and from 3 to 6 p.m. between 140 and 165. In the evening it drops back to 50.

The whole day isn't hard. The problem is concentrated in three hours, while the centre is half empty in the morning and late evening. So the answer isn't “a bigger hall” but spreading the flow of guests more evenly.

Step 2. Work out the capacity of each attraction

The centre's overall capacity isn't the full picture. A queue forms at a specific attraction when more people want it than it can take.

Throughput shows how many guests an attraction can serve in an hour:

Hourly throughput = 60 ÷ (session length + changeover time) × number of places

For example, a VR zone has 4 places, a session lasts 10 minutes, and another 5 minutes are needed to take the headsets off, clean them and fit them on the next guest. That's 60 ÷ 15 × 4 = 16 guests an hour.

Now we can also work out how long a guest in the queue will wait:

Waiting time (min) = people in the queue ÷ hourly throughput × 60

With 12 people ahead, a guest waits 12 ÷ 16 × 60 = 45 minutes — longer than the game itself.

Note: the quickest win is often not buying more headsets but cutting the changeover time. Turn those 5 minutes into 2 and throughput rises from 16 to 20 guests an hour.

Step 3. Move the queue into a calendar

When guests arrive at a “random” time, the queue forms at the attraction.

When they book a time in advance, the “queue” sits in the calendar, and they can spend that time at home, on the way or at another game.

Bookings are especially useful in three cases:

  1. For the most popular attractions (VR, escape rooms, bowling) — in 15- or 30-minute slots.
  2. For birthday parties and group visits that bring 15–20 guests at once. If such a group turns up unannounced at 4 p.m., the queue doubles.
  3. For peak hours. If the centre overflows from 3 to 6 p.m., booking can be required in those hours and walk-in entry allowed the rest of the time.

Rule: keep some places — say 30% — for walk-ins. Otherwise a family that drops in unexpectedly hears “we're full” and won't come next time.

Another trick: offer an alternative time. “4 p.m. is taken, but there's a free place at 1:30.” That way the guest helps you spread the load.

Step 4. If waiting is unavoidable, make it feel shorter

  • Unoccupied time feels longer. Put simple games by the queue, a screen with the game trailer, or have a staff member explain the rules before the session.
  • Unfair waiting is the most irritating kind. If someone goes in “without queuing”, everyone should see why — for example, with a “booked time” sign.
  • Waiting doesn't have to mean standing. A virtual queue — an SMS or a message saying “your turn is in 5 minutes” — lets the guest go to another attraction or the café meanwhile.

The last one is the most powerful. With a virtual queue, 20 minutes of waiting become 20 minutes of play somewhere else.

Step 5. Staff where the guests are

Use the data from Step 1 and build shifts around it:

  • 11:00–14:00 — low demand — 3 staff on the floor
  • 14:00–15:00 — rising — 5 staff
  • 15:00–18:00 — peak — 8 staff
  • 18:00–21:00 — falling — 4 staff

You don't need new hires for this. It's enough for some people to start later — say at 2 p.m. — and work until closing.

Two roles matter most at peak: a “queue manager” who tells guests the waiting time and points them to quieter attractions, and an extra helper at the busiest spot who cuts the changeover time (remember the 5 minutes at VR).

A quick self-test

Answer these about your centre:

  • Which hours is the centre overloaded — according to actual data, not gut feeling?
  • How many guests an hour can your most popular attraction take?
  • What was the average waiting time last Saturday?
  • Do you know in advance how many birthday parties and group visits there are tomorrow?

If answering means asking the administrator, flipping through the bookings notebook and trying to remember whether “that group called or texted”, your queues are being managed by chance.

When bookings, visits and staff shifts are recorded in one shared system, you see the picture in advance, not at 4 p.m. That is exactly the approach TM Hub offers, bringing business processes together in one place.

In summary

  • Know your peak hours from data, not gut feeling.
  • Work out each attraction's throughput and cut changeover time.
  • Move popular attractions and group visits to bookings.
  • Make unavoidable waiting known, occupied and fair.
  • Spread staff according to demand, not evenly.

In the end, a good entertainment centre isn't the one with the most attractions but the one where kids leave tired from playing, not from waiting.

TM Hub Team
Automation for production and retail

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