Chocolate bar machine scheduling Optimizing the production in a factory |
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Classroom materials, motivating pupils for math and science |
World of Work Dimensions Context The task is a scheduling problem from processing industry (known as the job-shop-scheduling-problem). The task is set in the context of a chocolate bar factory. The focus is on solving the problem already presented in the mathematical representation. Role For the mathematical model of scheduling the machines, students take the role of mathematician/mathematics student. When they formulate or present their solutions in terms of the machines producing chocolate they take the role of production planner. Activity Students use a mathematical model (representation) to find the optimal scheduling for the machines. This is a simplified analogy of what production planners do, using specific computer tools. Product The product is an optimal schedule for producing the five types of chocolate bars on the two machines. |
Abstract In processing industry planning and scheduling the production process is an important task. The aim is to minimize the makespan value (total processing time). In this task, that is situated in a chocolate bar factory, students adopt the role of a production planner, who has to decide on the optimal sequence of processing five products on two machines. The processing time for each product on each machine is given. Students have to find a possible schedule first and then try to optimize it into the schedule with the minimal total processing time. The students present their solutions and describe their strategy. Documents Copyright/Creative Commons Mascil partner: AT Materials are published under the CC BY-NC-SA 4.0 license. |
Discipline - Mathematics ✓ - Biology - Physics - Chemistry - Engineering Target group - Primary Education - Lower Secondary Education - Upper Secondary Education Age range 8-15 Duration 100 min. |