Multiple knapsack-constrained monotone DR-submodular maximization on distributive lattice Continuous Greedy Algorithm on Median Complex

We consider a problem of maximizing a monotone DR-submodular function under multiple order-consistent knapsack constraints on a distributive lattice. Because a distributive lattice is used to represent a dependency constraint, the problem can represent a dependency constrained version of a submodula...

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Bibliographic Details
Published in:	Mathematical programming Vol. 194; no. 1-2; pp. 85 - 119
Main Authors:	Maehara, Takanori, Nakashima, So, Yamaguchi, Yutaro
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Subjects:	Calculus of Variations and Optimal Control; Optimization Combinatorics Full Length Paper Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Theoretical 90C27 (Mathematical programming; Combinatorial Optimization) Distributive lattices Continuous greedy Median complex Submodular maximization 68W25 (Algorithms in computer science; Approximation Algorithm) 06D99 (Distributive lattices; None of the above, but in this section)
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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