AirCube is a wireless access point device used in homes and Edge Routers are special routers manufactured by Ubiquiti that act at the network boundary and allow an internal network to connect to an external network. MiniUPnPd (Mini Universal Plug aNd Play) is a small daemon that initiates the UPnP and NatPMP (Network Address Translation Port Mapping Protocol) for a device.

Source: GBHackers