This contribution summarizes recent work in the field of lot sizing an
d scheduling. The objective is not to give a comprehensive literature
survey, but to explain differences of formal models and to provide sam
e first readings recommendations. Our focus is on capacitated, dynamic
, and deterministic cases. To underscore the importance of the researc
h efforts, current practice is described and its shortcomings are expo
sed. Mathematical programming models where the planning horizon is sub
divided into several discrete periods are given for both approaches th
at are well-established and approaches which may represent tomorrow's
state of the art. Two research directions are discussed in more detail
: continuous time models and multi-level lot sizing and scheduling. Th
e paper concludes with some advice for future research activities. (C)
1997 Elsevier Science B.V.