Lot sizing when done for the short-term heavily interacts with the sequencing decisions for the operations to be performed. Especially for real-world situations where capacities are scarce, demand is dynamic, and precedence relations among the operations have to be taken into account the MRP II...

Lot sizing certainly belongs to the most established production planning problems. First scientific reports of this subject date from the beginning of the 20th century and at least one chapter about lot sizing can be found in almost every good textbook about production research issues. But, as...

This paper deals with proportional lot sizing and scheduling (PLSP) and gives some insights into the properties of this problem. Such insights may be useful for developing heuristic and/or exact solution procedures. The emphasis of this paper is on the multi-level, multi-machine case. We provide...

This contribution generalizes the work of Drexl and Haase about the so-called proportional lot sizing and scheduling problem which was published in 1995. While the early paper considers single-level cases only, the paper at hand describes multi-level problems. 1t provides mixed-integer programs...

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 contribution introduces a mixed-integer programming formulation for the multi-level, multi-machine proportional lot sizing and scheduling problem. It also presents a genetic algorithm to solve that problem. The efficiency of that algorithm is due to an encoding of solutions which uses a...

A flow line consists of a sequence of work places (or stations) through which one or more producta (or models) move one-way in order to be processed. Each model requires specific Operations which must be performed in a predefined Order. To be able to do so, the stations must be equipped with...

While balancing straight assembly lines is a well-studied problem, the Situation where the assembly line has a U-shaped Iayout is a still emerging research field. The advantage of these lines is that workers may simply turn around to operate at two legs of the line. Hence, there is an additional...