Titlebook: Integer Programming and Combinatorial Optimization; 25th International C Jens Vygen,Jaros?aw Byrka Conference proceedings 2024 The Editor(s

刺耳

,A First Order Method for?Linear Programming Parameterized by?Circuit Imbalance,e constraint matrix is totally unimodular, we obtain polynomial-time algorithms, whereas the convergence guarantees for approaches based on primal-dual formulations may have arbitrarily slow convergence rates for this class. Our approach is based on a fast gradient method due to Necoara, Nesterov, a

aggravate

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豐滿中國

,Adaptivity Gaps in?Two-Sided Assortment Optimization,nts one by one is exactly 1/2. Finally, we observe that the worst policies are those who simultaneously show assortments to all the agents, in fact, we show that the adaptivity gap with respect to one-sided policies can be arbitrarily small. These results showcase the benefit of each class of polici

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fulcrum

Integer Programming and Combinatorial Optimization25th International C

Instrumental

,Sparsity and?Integrality Gap Transference Bounds for?Integer Programs, study the additive integrality gap of the integer linear programs ., where . is a polyhedron in the standard form determined by an integer . matrix . and an integer vector .. The main result of the paper gives an upper bound for the integrality gap that drops exponentially in the size of support of

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,Separating , from?the?Supplier Version, ratio 2.613 holds for the more general . where an additional set . is given with the restriction ., the best known hardness for these two versions are . and . respectively, using the same reduction from .. We prove the following two results separating them..Our upper bound and lower bound are deriv

Jingoism

,A Better-Than-1.6-Approximation for?Prize-Collecting TSP,ties. The quality of a solution is then measured by adding the length of the tour and the sum of all penalties of vertices that are not visited. We present a polynomial-time approximation algorithm with an approximation guarantee slightly below 1.6, where the guarantee is with respect to the natural

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