Using segmentation for packets to reduce end-to-end delay

In classroom, we discussed the possible reduction in end-to-end delay if we segment a large message into a number of segments, and transmit each segment independently This problem pursues this aspect analytically. The parameters and assumptions of the model are given below. M bits: the length of a large message to be transmitted from host A to host B n: the number of links on a path from A to B (the path has n-1 routers) R bits/sec: the data rate of each of the n links S bits: the large message is split into segments of S bits each