Generally called Slipway worldwide as Jim remarked.
with those, is that it is more difficult to "take the keel" evenly as it slides up....especially if after a while, part of the railway has sagged due to tidal erosion.
Then you have:
..most common for yachts which puts slings under it to lift out.
Synchro Lift... is like an elevator under the boat which lifts vertically up using a series of hoists.....Great system, cheapest to build for heavy lifts and very safe.
... This is where the boat/Ship floats into a dug out flooded area, where the drydock
chocks are in place. Watertight door is closed and water pumped out.
Large initial cost, low operating costs and great for major refits when you can easily enclose and protect from strong winds because of lower profile.
.... is great for painting as environment
can be kept cleaner because land traffic is kept further away.