# Generation Logistics - Packing Problems

This group of packing problems, sometimes referred to as bin packing problems, show how mathematics can be applied to practical situations in the world of logistics.They are an accessible gateway to solving problems in such a manner to find the greatest or least solution. Once students are familiar with simple algorithms they are able to compare and contrast different solutions and explain the merits, or otherwise, of each one.

These problems are set in realistic situations, hence students are required to analyse their mathematical solution to determine whether this solution is valid in the real-life context and students are introduced to the concept of mathematical modelling.

It is recommended students attempt the resources in the following order. However, they can be done on a stand-alone basis.
1. How many employees?
2. How many parcels?
3. Shelving

Further education resources that link the world of logistics to suitable lessons and subjects in school can be found on the Generation Logistics Education Hub.

## Resources

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### Packing Problems -1 - How many employees?

This optimisation problem is an ideal opportunity to use the real-world context of logistics as an application of first fit algorthims.

In this activity students have to allocate a number of different jobs to different employees within certain constraints. As part of the task students are introduced to first...

### Packing Problems - 2 - How many parcels?

This optimisation problem is an ideal opportunity to use the real-world context of logistics as an application of first fit, first fit decreasing and full bin algorthims.

In this activity students have to decide how to pack a number of items into the least number of parcels possible, within certain...

### Packing Problems - 3 - Shelving

This optimisation problem is an ideal opportunity to use the real-world context of logistics as an application of a first fit decreasing algorthim.

In this activity students have to decide how to cut pieces of wood to make a shelving unit using the least number of planks of wood, within certain constraints....