Psi-Division was set up in 2060, the Atomic War took place in 2070, the same year President Booth was deposed and the Tek 15 monitoring station was set up.
Goodman states that Dredd has spent 15 years in the Academy. This conflicts with the 2000AD version of Judge Dredd which had Dredd and his brother go through the academy at an accelerated pace (check sources)
Dredd refers to the past decade, suggesting that he has been on the streets for ten years in this continuity.