[ZephyrP]

Feistel ciphers are a good technique for doing just this but it's also worth noting that if all you are looking for is "produce a pseudorandom permutation of 1..N without actually shuffling a list of numbers" you can also use an LFSR as well.

[wslh]

The difference is that the method is more secure than an LFSR.

[ZephyrP]

of course, but an LFSR is going to be faster (provided you have a reasonable number of rounds in your Feistel cipher), have some situationally desirable statistical properties and is easier to adapt than a format-preserving encryption technique like a Feistel network.