A paving system includes a machine having a frame with a plurality of ground-engaging elements coupled with the frame, and a height adjustable screed coupled with the frame. The paving system may also include a paving control system having a receiver configured to receive screed control data indicative of a position of the height adjustable screed relative to a reference position. The paving control system may further include a computer readable memory storing a control algorithm, which may include a smoothness estimating algorithm and a screed adjusting algorithm. An electronic control unit is coupled with the computer readable memory and is configured via the control algorithm to determine a smoothness value for a region of a mat of material which corresponds with an irregular pattern of screed position, in response to screed control data received via the receiver.