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2016

The continuous knapsack set

4 years 3 months ago
The continuous knapsack set
We study the convex hull of the continuous knapsack set which consists of a single inequality constraint with n non-negative integer and m non-negative bounded continuous variables. When n = 1, this set is a slight generalization of the single arc flow set studied by Magnanti, Mirchandani, and Vachani (1993). We first show that in any facet-defining inequality, the number of distinct non-zero coefficients of the continuous variables is bounded by 2n − n. Our next result is to show that when n = 2, this upper
Sanjeeb Dash, Oktay Günlük, Laurence A.
Added 08 Apr 2016
Updated 08 Apr 2016
Type Journal
Year 2016
Where MP
Authors Sanjeeb Dash, Oktay Günlük, Laurence A. Wolsey
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