Delivery failure to local alias recipients

[Shelley Waltz <shwaltz@xxxxxxxxxxxxxxxx>]

I searched the list and found a reference to this issue, however,
the solution was not clear to me.  Perhaps someone can help.

I am running postfix-2.0.18-1.pcre.sasl2.tls.rhel3 along with
cyrus-imapd-2.2.3-4.  Both run locally on the same node.
I do not use virtual domains.

I have the following in main .cf ...

alias_database = hash:/etc/postfix/aliases
alias_maps = hash:/etc/postfix/aliases
mailbox_transport = lmtp:unix:/var/lib/imap/socket/lmtp
myhostname = mail.rutgers.edu
mydomain = rutgers.edu
myorigin = $mydomain
mydestination = $myhostname, localhost.$mydomain, $mydomain
mynetworks = 192.68.2.0/24  127.0.0.0/8
local_recipient_maps =
local_transport = local

I have read the LMTP_README and use example 5.1.

The problem is ...
I have local aliases in /etc/postfix/aliases which have multiple
local and non-local recipient addresses.  When a person(many use
this alias which contains 230 addresses) sends to this address,
delivery proceeds until a local recipient who is over quota is reached.
Then delivery ceases and the remainder of the list do not receive
the message.

What must I do to fix this?  Thanks much.

Shelley Waltz