YYYYMMDD_##_user_filename.json

20161021_01_test_parameters.json
20161021_01_test_stack.json
20161021_02_test_parameters.json
20161021_02_test_stack.json
20161022_03_test_parameters.json
20161025_04_test_parameters.json
20161025_04_test_stack.json

find path/to/dir/ -maxdepth 1 -name '*parameters.json' | sort -t_ -nk2,2 | tail -n1

find path/to/dir/ -maxdepth 1 -name '*parameters.json' -print0 | sort -zt_ -nk2,2 | tail -zn1