English

On reduction integer programs to knapsack problem

Optimization and Control 2008-06-25 v1

Abstract

Let AA be an integral nonnegative m×nm\times n matrix, bb be an integral nonnegative vector. It is suggested new method for reduction of integer program max{cxAx=b,x0,xZn}\max \{cx| Ax=b, x\ge 0, x\in\mathbf{Z}^n\} to knapsack problem max{cxfAx=fb,x0,xZn}\max \{c'x| fAx=fb, x\ge 0, x\in\mathbf{Z}^n\}.

Cite

@article{arxiv.0806.3853,
  title  = {On reduction integer programs to knapsack problem},
  author = {S. I. Veselov},
  journal= {arXiv preprint arXiv:0806.3853},
  year   = {2008}
}
R2 v1 2026-06-21T10:53:45.942Z