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The problem of linear guideway cutting is an one-dimensional cutting stock problem in making a production plan, which significantly affects enterprises performance on material usage and production costs. In this paper, the practical features in an actual production environment are analyzed with regard to stock length, holes distance, edges distance, cutting scrap, cutting direction, scrap usage, etc...
We present a hierarchical computation approach for solving finite-time optimal control problems using operator splitting methods. The first split is performed over the time index and leads to as many subproblems as the length of the prediction horizon. Each subproblem is solved in parallel and further split into three by separating the objective from the equality and inequality constraints respectively,...
Attribute reduction is one of the central issue in the theoretical research of rough set, aiming at the NP-hard problem of acquiring minimal reduction and all reduction, an optimization algorithm is proposed to construct reduction tree based on discernibility matrix for acquiring attribute reduction. The discernibility set is acquired by improving discernibility matrix first, then the core and reduction...
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