منابع مشابه
Supermodular covering knapsack polytope
The supermodular covering knapsack set is the discrete upper level set of a non-decreasing supermodular function. Submodular and supermodular knapsack sets arise naturally when modeling utilities, risk and probabilistic constraints on discrete variables. In a recent paper Atamtürk and Narayanan [6] study the lower level set of a non-decreasing submodular function. In this complementary paper we...
متن کاملForthcoming in Discrete Optimization SUPERMODULAR COVERING KNAPSACK POLYTOPE
The supermodular covering knapsack set is the discrete upper level set of a non-decreasing supermodular function. Submodular and supermodular knapsack sets arise naturally when modeling utilities, risk and probabilistic constraints on discrete variables. In a recent paper Atamtürk and Narayanan [6] study the lower level set of a non-decreasing submodular function. In this complementary paper we...
متن کاملThe Sequential Knapsack Polytope
In this paper we describe the convex hull of all solutions of the integer bounded knapsack problem in the special case when the weights of the items are divisible. The corresponding inequalities are deened via an inductive scheme that can also be used in a more general setting.
متن کاملThe submodular knapsack polytope
The submodular knapsack set is the discrete lower level set of a submodular function. The modular case reduces to the classical linear 0-1 knapsack set. One motivation for studying the submodular knapsack polytope is to address 0-1 programming problems with uncertain coefficients. Under various assumptions, a probabilistic constraint on 0-1 variables can be modeled as a submodular knapsack set....
متن کاملCovering symmetric supermodular functions by uniform hypergraphs
We consider the problem of finding a uniform hypergraph that satisfies cut demands defined by a symmetric crossing supermodular set function. We give min-max formulas for both the degree specified and the minimum cardinality problem. These results include as a special case a formula on the minimum number of r-hyperedges whose addition to an initial hypergraph will make it k-edge-connected.
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ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2015
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2015.07.003