منابع مشابه
Totally unimodular stochastic programs
We consider totally unimodular (TU) stochastic programs, that is, two-stage stochastic programs whose extensive-form constraint matrix is TU. We generalize the notion of total unimodularity to apply to sets of matrices and provide properties of such sets. We provide several sufficient conditions on stochastic programs to be TU. When solving TU stochastic problems using the L-shaped method, it i...
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We investigate a new class of congestion games, called Totally Unimodular (TU) Congestion Games, where the players’ strategies are binary vectors inside polyhedra defined by totally unimodular constraint matrices. Network congestion games belong to this class. In the symmetric case, when all players have the same strategy set, we design an algorithm that finds an optimal aggregated strategy and...
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We show that the linear discrepancy of a basic totally unimodular matrix A ∈ Rm×n is at most 1− 1 n+1 . This extends a result of Peng and Yan. AMS Subject Classification: Primary 11K38.
متن کاملLinear Discrepancy of Totally Unimodular Matrices
Let p ∈ [1,∞[ and cp = maxa∈[0,1]((1 − a)ap + a(1 − a)p)1/p. We prove that the known upper bound lindiscp(A) ≤ cp for the Lp linear discrepancy of a totally unimodular matrix A is asymptotically sharp, i.e., sup A lindiscp(A) = cp. We estimate cp = p p+1 ( 1 p+1 )1/p (1+εp) for some εp ∈ [0, 2−p+2], hence cp = 1− ln p p (1+ o(1)). We also show that an improvement for smaller matrices as in the ...
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ژورنال
عنوان ژورنال: Acta Crystallographica Section A Foundations of Crystallography
سال: 2012
ISSN: 0108-7673
DOI: 10.1107/s0108767312000062