This contribution generalizes the work of Drexl and Haase about the so
-called proportional lot sizing and scheduling problem which was publi
shed in 1995. While the early paper considered single-level cases only
, the paper at hand describes multilevel problems, i.e., items are int
erconnected via a directed network of acyclic precedence constraints,
It provides mixed-integer programs for several important extensions wh
ich differ in the allocation of resources. A generic solution method i
s presented, and following the preceding paper, a randomized regret-ba
sed sampling method is tested. A computational study proves that, even
for the multilevel case which is far more complex than the single-lev
el problem, promising results are obtained. (C) 1998 John Wiley & Sons
, Inc.