Popularised by Dave Ramsey, the snowball is psychologically powerful: quick wins build momentum and habit. Behaviourally, it consistently outperforms the mathematically optimal avalanche method because more people stick with it.
The trade-off is interest cost: paying smallest-balance-first can leave high-rate debt running longer than the avalanche method. The right choice depends on the borrower's discipline and motivation profile.
A household has CHF 2k at 12%, CHF 8k at 6% and CHF 15k at 18%; the snowball clears the CHF 2k first regardless of rate, then attacks the CHF 8k, then the CHF 15k.