The meaning is explained in the link you provided. The never-give-up strategy provides a facility to handle ALL the faults that cannot be handled properly in the lower layers. I understood it as a fallback strategy where you handle severe or unexpected faults.

Although this phrase is new to me as well, I did a little Internet research and got a feeling that there is perhaps no established translation.

I decided to use katakana because ネバーギブアップ is a very common expression and although it will probably force the reader to think a bit to get the meaning, the English phrase is also not so straightforward.

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Note added at 1 day3 hrs (2006-06-01 12:38:13 GMT)
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Rereading your question, I thought you rather wanted to understand the meaning of 'never-give-up'.

First of all, if you do not understand what layers are, search for 'OSI reference model' on the Internet. There is a Wikipedia article as well:
http://en.wikipedia.org/wiki/OSI_model

When we use a web browser to access www.proz.com, for example, all these layers are at work. They send data back and forth and they also correct a lot of errors that occur when we use the Internet.

We do not see so many error messages because most errors are corrected by one of these layers. When all the layers 'give up' their efforts, however, we see one of those error messages, for example, "Cannot connect to the server www.proz.com."

If you understand the term 'Never-give-up strategy' literally, it refers to the strategy or mechanism to handle all the errors so that you won't see any error messages!

Of course this is impossible in the real world, so I think they just want to emphasize that their system makes every possible effort to recover from any errors.