Start from the hotel public bath model (free sign-up; running a simulation is Pro). A hotel’s or a ryokan’s public bath fills up when dinner ends. In this article, in the members’ new model of a hotel public bath, your AI simulates the evening’s bathers. It ran the same tools an AI calls over MCP. Every figure and number below comes from that run.

1. The bath and the evening

Plan of the hotel’s public bath
The men’s side to the west and the women’s to the east, each with twelve washing stations and a bath in the bathroom to the north, lockers and five washbasins in the changing room to the south, and the corridor from the hotel south of them
  • A public bath of 20 × 14 m: the men’s and the women’s sides each have a bathroom with 12 washing stations and a bath of 14.5 m², and a changing room with lockers for 40 and 5 washbasins with hair dryers. check_space finds nothing.

The AI wrote this flow as a scenario (put_process_scenario).

  • From 20:00 to 23:00, 200 hotel guests come at random after dinner: 25 % in the first half hour, then 30, 20, 12, 8 and 5 % a half hour. 45 % go to the women’s side, the others to the men’s.
  • Each takes a locker and undresses (2 to 5 minutes, most often 3), and washes at a free washing station (6 to 15 minutes, most often 10).
  • Then, away from the station, each gets into the bath when there is room (10 at once) and soaks (5 to 20 minutes, most often 10), goes back to the changing room and dries their hair at one of the 3 washbasins in use (3 to 8 minutes, most often 5). They dress (2 to 4 minutes, most often 3) and leave.
  • Every number and time is an assumption. Put in your own bath’s records.

2. The washbasins and the guests

The AI changed the washbasins in use (3, 4, 5) and the guests who bathe (150, 200, 250) (sweep_process_parameters), 20 runs each. There are 12 washing stations. “To leaving” is the mean time from the changing room’s door to leaving.

GuestsWashbasinsMen: to leavingMen: wait for a stationMen: wait for a basinMen: wait for a lockerWomen: to leavingWomen: wait for a basin
150348.4 min0.1 min12.4 min0.4 min40.6 min5.6 min
150438.2 min0.1 min2.3 min0.1 min36.0 min1.0 min
150536.2 min0.1 min0.4 min0.0 min35.2 min0.2 min
200369.3 min0.3 min24.6 min7.8 min55.1 min18.2 min
200447.8 min0.4 min6.9 min2.3 min40.2 min3.7 min
200541.5 min0.4 min0.7 min1.3 min36.9 min0.5 min
250392.2 min0.5 min28.5 min26.6 min74.2 min26.2 min
250463.0 min0.5 min10.8 min12.8 min50.4 min7.7 min
250552.6 min0.6 min0.8 min8.3 min43.3 min0.7 min
  • With 200 guests and 3 washbasins, the men take 69.3 minutes on average to leaving, 24.6 of them waiting for a washbasin. The wait for a washing station is 0.3 minutes: 12 are enough.
  • With 4 washbasins it is 47.8 minutes, with 5 it is 41.5.
  • With 250 guests, even 5 washbasins leave a wait of 8.3 minutes for a locker: the men’s 40 run short.

3. Dinner in two sittings

With 200 guests, the AI changed whether dinner is one sitting (crowding just after 20:00) or two (guests coming evenly from 20:00 to 23:00), and the washbasins in use.

DinnerWashbasinsMen: to leavingMen: wait for a basinWomen: to leavingWomen: wait for a basin
One dinner (crowding at 20:00)369.3 min24.6 min55.1 min18.2 min
One dinner (crowding at 20:00)541.5 min0.7 min36.9 min0.5 min
Two dinner sittings (evenly)348.8 min13.2 min39.9 min5.1 min
Two dinner sittings (evenly)535.4 min0.3 min35.0 min0.1 min
  • Even with dinner in two sittings, 3 washbasins keep the men at 48.8 minutes (13.2 waiting for a basin). With 5 it is 35.4.

4. How to use this check

  • Draw your own bath (from a PDF of the drawings or photos too), and tell your AI the guests and when dinner ends, the share of men and women, the washing stations, the bath, the washbasins and the lockers, and how long each takes. Your AI also puts extra washbasins on the drawing and checks them.
  • Not checked: open-air baths and saunas, morning baths, swapping the men’s and women’s sides, families with children, cleaning time, and a crowded changing room slowing people down.