The scaling push-relabel method is an important theoretical developmen
t in the area of minimum-cost flow algorithms. We study practical impl
ementations of this method. We are especially interested in heuristics
which improve real-life performance of the method. Our implementation
works very well over a wide range of problem classes. Some heuristics
we develop may apply to other network algorithms. Our experimental wo
rk on the minimum-cost flow problem motivated theoretical work on rela
ted problems. (C) 1997 Academic Press.