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lobste_rs

feeds.twtxt.net

17 Mar 25 23:15 UTC

Integer Linear Programming (ILP) (2020)
The ILP problem is given by matrix 𝐀 ∈ ℝᵐ×ⁿ and vectors 𝐛 ∈ ℝᵐ and
𝐜 ∈ ℝⁿ. The goal is to find a vector 𝐱 ∈ ℤⁿ such that 𝐀 · x ≤ b and cᵀ · x is the maximum.

Usually, the problem is given as max {cᵀ · x : 𝐀 · x ≤ b, x ∈ ℤⁿ}.

“A large number of practical optimization problems can be modeled
and solved using Integer Linear Programming - ILP.”

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