Remix runs cryptonote, so no masternodes.
I known that there are several projects, which use cryptonight algorithm (forks from Cryptonight in order to be ASIC-resistant) implement Service Nodes on their networks.
LOKI, and Saronite are one of case studies.
There are probably more projects which I have not known.
One of our biggest goals with Remix is to maintain community voice and complete decentralization. Masternodes can present a threat to decentralization, so they are not on the roadmap at this time.