In the U.S. these were called open sections. Amtrak never ran any but VIA Rail Canada still runs some. http://destinationmike.blogspot.com/2012/04/via-rail-sleeper-plus-class-berths.html Amtrak did inherit a number of Slumbercoaches which it ran for a while but didn’t replace them when they wore out. https://en.wikipedia.org/wiki/Slumbercoach
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