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...

The resource investment problem deals with the issue of providing resources to a project such that a given deadline can be met. The objective is to make the resources available in the cheapest possible way. For each resource, expenses depend on the maximum amount required during the course of...

Gegenstand der vorliegenden Arbeit sind zwei praktisch und theoretisch bedeutsame Probleme, die bei just-in-time orientierter Variantenfließfertigung auftreten. Ein Problem besteht darin, den Teilebedarf in der Endmontage so konstant wie möglich zu halten ("Level Scheduling Problem"). Das...

Resource-constrained project scheduling under a net present value objective attracts growing interest. Because this is an NP-hard problem, it is unlikely that optimum solutions can be computed for large instances. Thus, heuristics have become a popular research field. Up to now, however, tight...

In project management, the project duration can often be compressed by accelerating some of its activities at an additional expense. This is the so-called time-cost tradeoff problem which has been extensively studied in the past. However, the discrete version of the problem which is of great...

The car sequencing problem is to find feasible sequences of product variants requiring specific options while taking care of sequencing constraints. First, a branching scheme and constraint propagation algorithms for the computation of feasible sequences are provided. Second, an algorithm is...

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...