This paper introduces a near-optimal heuristic based on sorting method
s to minimize the total or mean flowtime (completion time) for the n-j
ob, M-machine flowshop. The mean flowtime criterion is important, beca
use many important cost measures, such as finished goods turn-over, de
pend on flowtime. A simulation study is conducted to test the effectiv
eness of the proposed heuristic by comparing it with those of Rajendra
n and Rajendran and Chaudhuri. The simulation results show that the pr
oposed heuristic performs better than the two existing heuristics, esp
ecially when the number of jobs is large (greater-than-or-equal-to 20)
. Further, the results show that the proposed heuristic averages to 0.
16% above the optimum for 2000 small test problems, ranging from five
to nine jobs and from three to ten machines.