Start from the hotel breakfast room model (free sign-up; running a simulation is Pro). Hotel breakfasts fill up after seven, and guests can end up waiting by the entrance for a seat. In this article, in the members’ breakfast room of a business hotel (24 tables for two and a counter of 12 seats, 60 seats), your AI simulates a buffet morning. It ran the same tools an AI calls over MCP. Every figure and number below comes from that run.
1. The breakfast room and the morning
check_space finds nothing. Your AI writes the morning as a scenario (put_process_scenario).
- From 6:30 to 9:30 a set number of guests come in, in parties: 70 % alone, 20 % in twos, 10 % in fours, 1.5 to a party on average.
- Of all the parties, 10, 20, 25, 20, 15 and 10 % come in each half hour; the busiest is 7:30 to 8:00.
- They give the room number at the entrance (one member of staff) and take a seat. Twos and fours take a table for two (fours two pushed together); a guest alone takes a counter seat or a table for two. With none free, they wait by the entrance.
- Seated, they go along the buffet and back to the seat (two at a station, three at the hot dishes; fours go twice), the seat theirs meanwhile; then they eat, take the dishes to the dish return and leave. Eating takes 10 to 30 minutes alone, 15 to 35 in twos and 20 to 40 in fours.
- Every time is an assumption, to swap for your own.
2. The guests in a morning
Your AI sweeps the guests in a morning (180, 240, 300) with sweep_process_parameters, 20 runs each. Guests alone are shown to the counter first. To a seat is the time from giving the room number to sitting down.
| Guests | Parties | To a seat (mean) | Parties that waited | Line for a table (most) | In the room |
|---|---|---|---|---|---|
| 180 | 120 | 0.1 min | 0.5 (0.5 %) | 0.2 | 23.6 min |
| 240 | 160 | 0.7 min | 26.7 (16.7 %) | 3.9 | 24.2 min |
| 300 | 200 | 4.4 min | 108.5 (54.3 %) | 10.7 | 28.0 min |
- With 60 seats, 180 guests in a morning hardly wait; at 240 about one party in six waits, at 300 more than half.
- At the buffet, even on a morning of 300 the longest wait, at the salad, is 3.4 seconds on average, and the line at most 3.3. It is the seats that fill, not the food.
3. The same 48 seats, with a counter, hardly wait
With 240 guests, your AI changes the tables for two (18 or 24) and the counter seats (0 or 12).
| Tables for two | Counter | Seats | To a seat (mean) | Parties that waited | Alone at a table for two |
|---|---|---|---|---|---|
| 24 | 12 | 60 | 0.7 min | 26.7 | 28.0 |
| 24 | 0 | 48 | 13.3 min | 123.4 | 111.2 |
| 18 | 12 | 48 | 3.4 min | 71.4 | 24.0 |
| 18 | 0 | 36 | 36.9 min | 137.4 | 111.2 |
- Of the 160 parties, 111.2 are guests alone. With no counter, each sits alone at a table for two and the seat across stays empty.
- With the same 48 seats, 24 tables for two give a mean of 13.3 minutes to a seat; 18 tables and a counter of 12 give 3.4. A counter of 12 in place of six tables for two cuts the wait to about a quarter.
4. Showing guests alone to the counter
With 24 tables for two and the counter of 12, your AI compares showing guests alone to the counter first or to a table first.
| Guests | Guests alone shown to | To a seat (mean) | Parties that waited (alone, twos, fours) |
|---|---|---|---|
| 240 | a table first | 0.8 min | 16.4, 13.3, 7.5 |
| 240 | the counter first | 0.7 min | 16.1, 6.8, 3.8 |
| 300 | a table first | 4.6 min | 74.5, 25.9, 14.7 |
| 300 | the counter first | 4.4 min | 74.8, 22.1, 11.7 |
- With 240 guests, showing those alone to the counter first cuts the twos that wait from 13.3 to 6.8 and the fours from 7.5 to 3.8. Fewer sit alone at a table for two (28.0 instead of 75.8), so twos and fours find one.
- At 300, however they are shown, it takes about four and a half minutes to a seat: there are too few seats.
5. Using the check
- Draw your breakfast room (from a PDF drawing or photos as well), and tell your AI the guests in a morning, the parties, when they come and how long they eat.
- Not checked: the staff refilling and clearing, second helpings, staff showing guests to their seats, group breakfasts, and separate rooms for Japanese and Western breakfasts.