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Published byAmari Nokes Modified over 2 years ago

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Operational Research (O.R.) case studies

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What’s the problem?

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You work for a local council… You want to make some roads in the town centre into a pedestrian precinct so that pedestrians can walk safely between all the key places in the centre

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But you want to keep costs as low as possible

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Which roads should you pedestrianise?

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What do we need? A map

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Something like this… C E D H FG A B

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With the distances

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Let’s summarise the problem We want to connect all the places on the map with the least possible total distance of road

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This is an example of finding a Minimum Spanning Tree

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Minimum Spanning Tree The aim is to connect every vertex of the network using the edges having the least possible total weight

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Another example where this is used By companies installing pipelines or cables to work out the most efficient way of connecting them up

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Over the next few lessons, we will look at ways of approaching problems of this type… What next?

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