The cutting stock problem with binary patterns (0-1 CSP) is a variant of CSP that usually appears as a relaxation of 2D and 3D packing problems. We present an exact method, based on an arc-flow formulation with side constraints, for solving 0-1 CSP by simply representing all the patterns in a very compact graph. Gilmore-Gomory’s column generation approach is usually used to compute strong lower...

Arc splines are important in automatically controlled complex curve cutting process. However, the problem of how to determine the parameter of arcs according to desired curve fitting accuracy has not been completely solved. This paper presents a new algorithm for finding arbitrarily close bi-arc splines. It is based on research on the characteristics of spiral curves. The algorithm has several ...

Volume 5 • Issue 3 • 1000204 J Appl Mech Eng ISSN:2168-9873 JAME, an open access journal Arc Energy Characteristics Analysis of AC Square Wave Submerged Arc Welding using WVD Si-Wen X1,3, Wang C1,2, Zhi-Peng Z1,2 and Kuan-Fang H1,2,* 1College of Mechanical and Electrical Engineering, Hunan University of Science and Technology, Xiantan 411201, PR China 2Hunan Provincial Key Laboratory of Health ...

Arc splines are planar, tangent continuous, piecewise curves made of circular arcs and straight line segments. They are important in manufacturing industries because of their use in the cutting paths for numerically controlled cutting machinery, highway route and robot paths. This paper considers how to smooth three kinds of G biarc models: the C-, S-, and J-shaped, by replacing their parts by ...

An account is presented of the work done in the USSR on the generation of thermal plasma, plasma melting, and plasma jet processes. The various methods of plasma generation are reviewed, such as arc plasma generators and high frequency (HF) plasma generators including HF-induction plasmatrons, HF-capacity plasmatrons and HF-flame plasmatrons. Plasma melting techniques covered include plasma-arc...

We describe an exact model for the two-dimensional Cutting Stock Problem with two stages and the guillotine constraint. It is a linear programming arc-flow model, formulated as a minimum flow problem, which is an extension of a model proposed by Valério de Carvalho for the one dimensional case. In this paper, we explore how this model behaves when it is solved with a commercial software, explic...

In the resource constrained shortest path problem (RCSPP) a shortest path satisfying additional resource bounds is sought. Each arc has a length and a resource usage vector specifying the requirements from each resource of a finite set of resources. The resource bounds limit the total usage along feasible paths for each resource type. In this paper we introduce new cutting planes, separation pr...

The so-called hybrid stabilized electric arc utilizes a combination of gas and vortex stabilization. In the hybrid argon-water plasma torch, the arc chamber is divided into the short cathode part, where the arc is stabilized by tangential argon flow, and the longer part, which is stabilized by water vortex. This arrangement provides not only the additional stabilization of the cathode region an...

Electric arc stabilized by a vortex of liquid, mostly water, is used in a special type of plasma torch for generation of thermal plasma jet with extreme plasma parameters. The paper presents analysis of properties and processes of water stabilized arcs and discusses differences from common gas stabilized arcs. Plasma torch utilizing stabilization of arc column by combination of gas flow and liq...