We address the question to what extent polyhedral knowledge about individual knapsack constraints suffices or lacks to describe the convex hull of the binary solutions to their intersection. It turns out that the sign patterns of the weight vectors are responsible for the types of combinatorial valid inequalities appearing in the description of the convex hull of the intersection. In particular...

This note is meant to elucidate the difference between intersection cuts as originally defined, and intersection cuts as defined in the more recent literature. It also states a basic property of intersection cuts under their original definition. Intersection cuts for mixed integer programs were introduced in the early 1970’s [1, 2] as inequalities obtained by intersecting the extreme rays of th...

Intersection cuts are a family of cutting planes for pure and mixedinteger linear programs, developed in the 1970s. Most papers on them consider only cuts that come from so-called maximal lattice-point-free polyhedra. We define a completely different family of intersection cuts, called “natural”. Their key property is that they can be generated very quickly and easily from a simplex tableau. In...

This article proposes a Hybrid Autonomous Intersection Management protocol (H-AIM), which is a variant of the formerly presented Autonomous Intersection Management protocol (AIM). Similar to AIM, H-AIM coordinates the right of way for connected and autonomous vehicles through an intersection in a way that is far more efficient compered to traditional traffic signals. Unlike AIM, H-AIM is shown ...

INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 983 R I. THE REGULATION OF PRENATAL GENETIC TESTING AND SCREENING . . . . . . . . . . . . . . . . . . . . . . . . . 987 R A. Current Testing and Screening . . . . . . . . . . . . . . . . . . . . . . 987 R B. Federal Regulation and the ACA . . . . . . . . . . . . . . . . . . . 992 R C. Examples...

Statements analogous to the Hard Lefschetz Theorem (HLT) and the Hodge-Riemann bilinear relations (HRR) hold in a variety of contexts: they impose severe restrictions on the cohomology algebra of a smooth compact Kähler manifold or on the intersection cohomology of a projective toric variety; they restrict the local monodromy of a polarized variation of Hodge structure; they impose conditions o...

To screen additives and their mixed ratio suitable for the mycelial growth and fruiting body formation of Oudemansiella radicata in the oak sawdust, additives such as rice bran, fermented soybean powder and wheat bran were used. Generally, the mycelial growth of O. radicata has been stable on oak sawdust mixed with rice bran of 5~20%. In case that O. radicata was cultured for about 30 days at 2...

In this paper, we introduce combination constraints for modeling ore bodies based on multiple implicit fields interpolation. The basic idea of the method is to define a multi-labeled function that combines different sub-implicit by operations, including intersection, union and difference operators. contribution paper resides in application more general with rules bodies, such geologist can cons...