Arriving 40 minutes late into Munich from Johannesburg recently I missed my connecting flight to Paris.
Lufthansa check in said the best they could do was put me on standby for the next flight - reasonable.
Next flight had finished boarding and there was one seat in business class, I had an economy ticket.
"I am sorry sir as we only have one seat in business class I will have to upgrade you - goodnight sir and please fly Lufthansa again"