I have found that it lacks /run/lock directory.

And I cannot find out what daemon/init script creates it.

Could you give me a hint?

Just to make it clear:

1.

# mount

/var/lib/vz/private/101 on / type simfs (rw,relatime)

/dev/sdb on /var/lib/mysql type ext4 (rw,noatime,relatime,barrier=1,data=ordered)

proc on /proc type proc (rw,relatime)

sysfs on /sys type sysfs (rw,relatime)

devpts on /dev/pts type devpts (rw,relatime,mode=600,ptmxmode=000)

varrun on /run type tmpfs (rw,relatime)

2.

# ls -la /run/l*

ls: cannot access /run/l*: No such file or directory