An exponential lower bound for the size of tree-like Cutting Planes refutations of a certain family of CNF formulas with polynomial size resolution refutations is proved. This implies an exponential separation between the tree-like versions and the dag-like versions of resolution and Cutting Planes. In both cases only superpolynomial separations were known [29, 18, 8]. In order to prove these s...

Branch-and-cut methods are exact algorithms for integer programming problems. They consist of a combination of a cutting plane method with a branch-and-bound algorithm. These methods work by solving a sequence of linear programming relaxations of the integer programming problem. Cutting plane methods improve the relaxation of the problem to more closely approximate the integer programming probl...

A linear utility model is introduced for optimal selection when several subpopulations of applicants are to be distinguished. Using this model, procedures are described for obtaining optimal cutting scores in subpopulations in quota-free as well as quota-restricted selection situations. The cutting scores are optimal in the sense that they maximize the overall expected utility of the selection ...

A numerical method is proposed for solving linear programming problems with Boolean variables. The method is based on an iterative application of a cutting-plane procedure that takes into account, as fully as possible, the properties of the problems being solved. Heuristic procedures are applied for the synthesis of cutting-planes as an intermediate step substantiating the construction of a sol...

Moringa oleifera is native to northern India and planted in many parts of the world. In Ethiopia, little known about management silvicultural practices plant. The present study was conducted determine whether different cutting/pollarding heights affect yield growth at Arba Minch Zuriya Woreda, Southern Ethiopia from November 2016 September 2019. Two months old hardened twenty-five seedlings tre...

The encroachment of Eastern redcedar (ERC) (Juniperus virginiana L.) onto Great Plains prairies has become a serious threat to ecosystem functioning and grazing productivity. uncontrolled spread this invasive tree species been called »green glacier« converting grasslands into closed canopy woodlands. A pasture cutting robot was developed using tracked Autonomous Ground Vehicle (AGV) equipped wi...