Course description
The course covers mathematical models that support the management of production processes. The focus of the course is especially on models for determining production lot sizes and delivery quantities and for determining production sequences. The methods discussed in the course are of special importance in the manufacturing sector, where companies often maintain high inventory levels. Lot sizes influence the build-up and depletion of inventory in this context. The determination of production sequences is especially important in series production, where companies often have to change the machine settings when shifting from one product type to the next. The methods covered in the course support the planning of a cost-efficient production process in such industries.
After participating in this course, students are able to model real planning problems that arise in production and inventory systems, and to derive decision support. In addition, students should be able to classify all planning problems covered in the course within a general business context.
Outline
1 Principles of Production Planning and Control (PPC)
2 Lot Sizing
2.1 The Economic Production Quantity (EPQ) model
2.2 Two-stage lot sizing models
2.2.1 Push systems with open production
2.2.2 Pull systems with open production
2.2.3 Closed production
2.2.4 Batch sizing
2.3 Multi-stage lot sizing models
2.3.1 Planning lot sizes in multi-stage production systems
2.3.2 Batch sizing
2.4 Lot sizing under constraints
2.4.1 Constraints on the lot size
2.4.2 Planning lot sizes and lot sequences
2.4.3 Time constraints
3 Scheduling
3.1 Basics of Scheduling
3.2 Scheduling jobs on a single machine
3.3 Scheduling jobs on multiple machines
3.3.1 Johnson‘s methods
3.3.2 Lomnicki‘s methods
3.3.3 Heuristics for planning complex problems
3.4 Special Scheduling and PPC problems
Exam
The two courses “Supply Chain Management” and “Operational Production Management” jointly constitute the elective module “Materials Management, Production and Logistics” (6 CP), which can be attended by various master degree programs of the Department of Law and Economics.
Type of exam: written exam, date available in TUCaN.
