The mobile multicast technology has been a research hotspot in the wireless Internet field in recent years. Quite a large part of its applications requires the reliability in a mobile environment to be equivalent to that provided by wireline links. However, the inherent features of a mobile environment, that is, high error rate of links and dynamically changing multicast members’locations, are great difficulties for mobile multicast, let alone reliable mobile multicast. The IPv4-based reliable mobile multicast algorithms come with two different design philosophies. A part of the algorithms is to be improved for better reliability by solving existing algorithm- related problems; while other algorithms are to implement reliable mobile multicast with new function entities introduced to guarantee reliability.