A new fuel pump relay might address the fuel pump sporadically cutting out however, if the pump is too noisy then it may need to be replaced. Before traveling in this direction I need to ask a few questions, has the vehicle been jump started recently? If the answer is yes then check the 10A fuse in the OVP (over voltage protection) relay, it may be burned. The relay is red on top and resides in the area directly behind the battery.

A good starting point, keep us posted.