This contribution summarizes recent work in the field of lot sizing and scheduling. The objective is not to give a comprehensive literature survey, but to explain differences of formal models and to provide some first readings recommendations. Our focus is on capacitated, dynamic, and...

This contribution discusses the measurement of (in-)stability of finite horizon production planning when done on a rolling horizon basis. As examples we review strategic capacity expansion planning, tactical master production schedulng, and operational capacitated lot sizing.

This contribution presents an efficient solution method for solving the major short-term planning problems which occur, if lot production has to be managed. In our focus are the two most important aspects, i.e. lot sizing and scheduling. Since both problems heavily interact, we propose an...

This contribution presents an efficient solution method for solving the major short-term planning problems which occur, if lot production has to be managed. In our focus are the two most important aspects, i.e. lot sizing and scheduling. Since both problems heavily interact, we propose an...

This contribution defines an instance generator for capacitated, dynamic, multi-level lot sizing problems. It provides sophisticated methods for generating systematically varied parameter level combinations automatically. This helps to perform evaluations of lot sizing methods according to a...

This paper presents a mixed-integer program for the dynamic lot sizing and scheduling problem in a multi-level, single-machine environment. It turns out that in contrast to single-level problems the integration of initial inventory is a crucial aspect if generality should not be lost. It is...

This paper deals with lot sizing and scheduling for a single-stage production System where setup costs and times are sequence dependent. A large bücket mixed integer programming (MIP) model is formulated which considers only efficient sequences. A tailor-made enumeration method of the...

Cellular automata were used to model and to simulate phenomena in the area of physics, biology and medicine. In this paper it is now shown how the idea of cellular automata can be applied to optimization problems as well. As an example a cellular automaton is used as a basis for solving...

This contribution presents two heuristic approaches for multi-level, single-machine lot sizing and scheduling. The first one is a variant of a so-called randomized regret based heuristic which is assumed to be the fastest available method for this particular class of problems. The second...

This contribution deals with dynamic, capacitated, multi-level lot sizing and scheduling. The basic assumption is that for each item there is exactly one machine that this item can be manufactured on but no two items share a common machine. Finding an optimal solution with a greedy algorithm...