Actually, if you seed your random number generator more than once ("re-seed"), then you're completely destroying your entropy. Which is obviously the exact opposite of what you're trying to achieve.
Just curious...why exactly would you say reseeding adds bias? AFAIK, srand in Perl on Linux uses /dev/urandom, which uses at least some bits from the hardware entropy pool.
The truth is this: if you ever hear the phrase "re-seeding", you should reinterpret it as "warning! danger!" because if you seed a random number generator more than once, you destroy any entropy ('true' randomness) that generator otherwise might've had.
When you seed a generator, you're saying "give me a queue of uniformly random numbers. Each time I call rand(), pop one from the queue and return it."
If you re-seed, you're saying "throw that queue away; give me a different queue of uniformly random numbers".
If you do that for every rand(), then you no longer have a queue of uniformly-random numbers. You have bias.
One way to think about this is: The resulting output over time is no longer uniformly random, because it's the first random number of every queue of uniformly random numbers (every seed). And the first number of every seed != uniformly random. It wasn't designed to be.
It's both hard to understand and hard for me to explain, sorry. But if you want to know more, feel free to ask more questions and I'll do my best.
tl;dr: if you seed Mersenne Twister (or any other RNG) more than once, you'll be losing most of the benefits of the Twister (from a mathematical point of view). So don't! =)
I'm very familiar with MT from my PhD research :) It's a nugget of gold hidden in a single .c file.
I asked the question in relation to the LC generators in stdlib, where it seemed like reseeding from the (probably MT? I believe BSD uses Yarrow) generator in /dev/urandom would actually result in more entropy than the internal state of the LC generator in Perl/C stdlib. Totally agree with not reseeding MT though -- I have it in a persistent FastCGI script with an initial seed from /dev/random now.
Oh, sorry... if you're asking whether it's possible to hack the "crappy rand()" such that it has more entropy by constantly re-seeding from MT... then I have no idea =) I just use MT itself.