You are choosing your AS courses… You want to study AS Levels in Maths, Physics, French and Philosophy You also want to attend Basketball Club Each of these is available in one or more of 6 different option blocks
www.LearnAboutOR.com How do you decide if your combination of courses is possible?
www.LearnAboutOR.com And what to take in each option block?
www.LearnAboutOR.com Let’s summarise the problem We have a set of subjects and a set of option blocks with each subject available in one or more of the option blocks
www.LearnAboutOR.com We want to match up our chosen subjects with possible option blocks in a systematic way
www.LearnAboutOR.com This is an example of a Matchings Problem
www.LearnAboutOR.com Matchings Problems We have two distinct sets of vertices with some edges between the two sets but no edges within a set
www.LearnAboutOR.com We want to find as large as possible a subset of the edges with no two edges sharing a vertex
www.LearnAboutOR.com Another example where this is used British Airways scheduling staff: deciding who will work, when, and where…
Over the next few lessons, we will look at ways of approaching problems of this type… What next? www.LearnAboutOR.com