# Tag Info

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• 220k
1 vote

### nonlinear optimisation problem

You can solve the problem via integer linear programming as follows. Let binary decision variable $x_i$ indicate whether entry $i$ is selected. The problem is to maximize $\sum_i A_i x_i$ subject to ...
• 34.9k
1 vote

### Finding the greatest sum of 10 integers with a given set of constraints.

Since you have $(11)$ counters total, and $(10)$ spaces, the best that you can do is to use $(10)$ of the counters, if possible. So, you have two simultaneous goals to strive for: Maximize the ...
• 24.8k
1 vote

### Given n objects shared by several sets of known sizes, what is the minimum number of objects shared by all the sets?

A general approach is to use integer linear programming, with a nonnegative decision variable $x_S$ for each of the nonempty subsets $S$ of the given sets and linear constraints to enforce the ...
• 34.9k

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