Boyd, E. Andrew2018-06-182018-06-181991-03Boyd, E. Andrew. "A Pseudopolynomial Network Flow Formulation for Exact Knapsack Separation." (1991) <a href="https://hdl.handle.net/1911/101708">https://hdl.handle.net/1911/101708</a>.https://hdl.handle.net/1911/101708The NP-complete separation problem for the knapsack polyhedron P is formulated as a side-constrained network flow problem with a pseudopolynomial number of vertices and edges. It is demonstrated that the primal polyhedron associated with this formulation can be projected onto an appropriate subspace to yield P and that the dual polyhedron can be projected onto an appropriate subspace to yield the polar of P. Practical consequences of the formulation are discussed.19 ppengA Pseudopolynomial Network Flow Formulation for Exact Knapsack SeparationTechnical reportTR91-04