I'm looking for some examples of products offered both as SaaS and a self-hosted option. Is one-time payment the common method? Does the price should depend on a size of a company?
Fairly limited support, charge for install/upgrade assistance, and no need to worry about hosting/resources/scaling. They can still charge a fee in a year for license to new upgrades.
I'll throw Atlassian's products into the mix. I've personally only used their SaaS versions, but believe they charge on a recurring basis in several tiers by number of seats in both cases.