i'd love to read it if you can track it down in childhood i read one of those scifi anthology stories where humanity was so overpopulated everyone was split in

i'd love to read it if you can track it down in childhood i read one of those scifi anthology stories where humanity was so overpopulated everyone was split into 7 shifts for days of the week. a man fixed on one day looks over at a sleeping woman's pod and falls in love with her, and somehow switches days to be with her, only to find that she's also transferred to his day (i think.. cant recall). would love to read that again.