Further Maths - Bin-packing


Flashcards

What is the bin-packing problem?


Minimising the amount of bins used to store things of a fixed sizes.

What is the full-bin combinations algorithm for bin-packing?


Fill as many bins as possible using full-bin combinations and then pack the remaining items into the first available bin.

What is it called when you solve a problem by listing all possibilities?


Complete enumeration.

What is the first-fit algorithm for bin-packing?


Work through the list of items and place each item in the first bin with sufficient space.

What modification to the first-fit algorithm could you make to allow it to create better solutions?


Sort the items in descending order first.

What is the first-fit decreasing algorithm?


Rearrange the items to decreasing order and then use the first-fit algorithm.

Why is the full-bin combinations algorithm not very good?


It doesn’t scale up well and basically reduces to inspection.

Are first-fit and first-fit decreasing optimal or heuristics?


Heuristics.




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