This contribution acquaints the reader with a model for multilevel sin
gle-machine proportional lot sizing and scheduling problems (PLSPs) th
at appear in the scope of short-term production planning. It is one of
the first articles that deals with dynamic capacitated multilevel lot
sizing and scheduling, which is of great practical importance. The PL
SP model refines well-known mixed-integer programming formulations for
dynamic capacitated lot sizing and scheduling as, for instance, the D
LSP or the CSLP. A special emphasis is given on a new method called de
mand shuffle to solve multilevel PLSP instances efficiently but subopt
imally. Although the basic idea is very simple, it becomes clear that
in the presence of precedence and capacity constraints many nontrivial
details are to be concerned. Computational studies show that the pres
ented approach decidedly improves recent results. (C) 1997 John Wiley
& Sons, Inc.