Question about memory size and performance

According to this paper -
http://www.cs.umass.edu/~emery/pubs/gcvsmalloc.pdf , it claim that :

"If their applications will be deployed on systems with at least three
times as much RAM as needed, then garbage collection should provide
reasonable performance. However, if the deployed systems will have
less RAM, or if their applications will have to compete with other
processes for memory, then practitioners should expect garbage
collection to exact a substantial performance cost."

Just wonder if anybody have comment about this claim? Say my
applicatioon typical requirement 1024m heap size to run. My computer
need to have 3072m to have reasonable performance???

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