Balanced integer solutions of linear equations

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Abstract

We use lattice-based methods in order to get an integer solution of the linear equation a1x1+ ⋯ + anxn= a0, which satisfies the bound constraints |xj| ≤ Xj. Further we study the corresponding homogeneous linear equation under constraints and finally we apply our method to Knapsack problem.

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Draziotis, K. A. (2014). Balanced integer solutions of linear equations. In Springer Optimization and Its Applications (Vol. 91, pp. 173–188). Springer International Publishing. https://doi.org/10.1007/978-3-319-04720-1_11

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