debian mysql server always down

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http://serverfault.com – I am hosting a mysql server in a debian 6.0.4 server hosted in linode, the new data is frequently written into the mysql server using R, about 30-40 "write" per minute, about 7 hours a day, 5 days a week. Recently I found that the mysql server seem to down frequently, always give me error that mysql server cannot be connected through socket. I wonder if this is caused by my high demand to my mysql server, and if this can be solved. I am definitely a newbie in manage server. Please let me know if I need to provide additional information for this question in order to get it solved. Thanks. up (HowTos)