1๐ฏ๐ต
Start from the national total
The series passed 2.0 billion sold in 2023 and 2.9 billion in 2026:
Nห=3ร365(2.9โ2.0)ร109โโ821,918/day 2๐ช
Split it between 16,202 stores
Each store's share depends on its type, local store density, opening hours and age:
Diโ=Nหโjโajโaiโโaiโ=ฯk(i)โg(ฯiโ)ฮทiโฮฝiโโ Station ฯ=1.5, hospital ฯ=0.8; g rises with density, with diminishing returns.
3๐
Shape the day
Each store type has a daily curve peaking at lunch, masked to the store's opening hours:
siโ(m)=โmโฒโck(i)โ(mโฒ)oiโ(mโฒ)ck(i)โ(m)oiโ(m)โ 4๐ง๏ธ
Add the weather and the calendar
Live weather from the nearest of 594 JMA stations, plus weekends, holidays and Famichiki Day:
ฮปiโ(m)=DiโuiโOkโCW(T,r)siโ(m)WTโ(T)=min{1.25,1+0.012(20โT)+โ}โ +1.2% per degree below 20 ยฐC, up to +25%; rain lowers it. uiโ is the store's daily luck.
5๐ฒ
Turn rates into real-feeling sales
Each sale can trigger follow-ups at the same store, and national demand drifts:
ฮปiโโ(t)=(1โฮท)ฮปiโ(t)Mtโ+tjโ<tโโฮทฮฒeโฮฒ(tโtjโ) Since E[Mtโ]=1, E[ฮปiโโ]=ฮปiโ: same totals, bursty timing.