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Better lower bounds #18

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sharmaeklavya2 opened this issue Dec 29, 2020 · 1 comment
Open

Better lower bounds #18

sharmaeklavya2 opened this issue Dec 29, 2020 · 1 comment
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@sharmaeklavya2
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Currently, we use ceil(area) as a lower bound on the minimum number of bins. It's easy to come up with inputs where ceil(area) is far from optimal (but I don't know how true this is for 'interesting' inputs). We need something better.

These lower-bounds should either be very efficiently computable, or we should have a mechanism where a user can choose to compute them on-demand-only.

@sharmaeklavya2 sharmaeklavya2 added the research Requires reading or doing research label Dec 29, 2020
@sharmaeklavya2
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I have added more lower-bounds. They transform the width and height of items by applying dual-feasible-functions and then ceil(area) of this transformed instance gives us lower-bounds.

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