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In this paper we consider the following closest vector problem. We are given a set of 0–1 vectors, the generators, an integer vector, the target vector, and a nonnegative integer C. Among all vectors that can be written as nonnegative integer linear combinations of the generators, we seek a vector whose ℓ∞-distance to the target vector does not exceed C, and whose ℓ1-distance to the target vector...
We consider combinatorial optimization problems arising in radiation therapy. Given a matrix I with non‐negative integer entries, we seek a decomposition of I as a weighted sum of binary matrices having the consecutive ones property, such that the total sum of the coefficients is minimized. The coefficients are restricted to be non‐negative integers. Here, we investigate variants of the problem with...
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