I read this story years ago in a very old magazine, so it is written 1990 or earlier. It was a Bulgarian magazine from the 80s, printing translated stories, probably космос or наука и техника за младежта. I have no idea where the original could first have been printed, but I am quite sure that it wasn't one of the thinly veiled propaganda stories by local journalists, and also nothing by the renowned domestic sci-fi autors like Wezhinow.
There is a high chance that the story has been American in origin. It had a Western feel, and I think that American stories were the most popular with those magazines even back then.
The plot was about a society where everything is done by the clock, in a very exaggerated manner. Everybody has to be punctual to the second. One day, the hero oversleeps a ridiculously short amount of time and catches the next bus to work. There he learns that he has lost his job for being late, and his flat has been rented to somebody else because he now has no salary, etc. The friendly government machine tells him where to go to be helped. It turns out to be the highest building in the city, and he is allotted 15 minutes to jump. He stands there and thinks about his life instead, and hears the elevator bringing the next one.
I'd like to know the title and the author. I don't think it was a sci fi magazine, more likely a popular science magazine including one science fiction story per edition. But I have no more information, and my grandmother has probably thrown away all these magazines from my aunt's youth.