Almost same, but I think the meaning of 輸送 is a little bit broader. For instance, when we say about transport oil by pipelin, we use 輸送、not 運送. 運送 may be used for transportation by a trasnportation machine.

To my understanding or impression, both mean basically "to transport". When I hear 運送, I would imagine that trucks transport freights or cargos. And 輸送 is used more widely and generally. It might be aeroplane, cargo ship or truck, and also biologically or medically used. Does it make sense?