A branch-and-cut-and-price algorithm for one-and two-dimensional two-staged cutting (stock) problems

The standard guillotine-shaped vitreous cutter blade (hereafter named Regular Blade [RB]) did not substantially change over the past 40 years, because of its simple and robust design. The asynchronous suction and cutting action, typical of RB blades, determines complete port obstruction generating flow instability and fluid acceleration that results in limited efficiency and eventually retinal ...

Most tonsillectomies are carried out by dissection. Only a small minority of otolaryngologistsstill routinely perform guillotine tonsillectomy. We carried out a prospective study on 86children undergoing tonsillectomy utilising a standard anaesthetic and analgesic regimen tocompare post-operative pain after dissection tonsillectomy and guillotine tonsillectomy using aPopper'...

We present an asymptotic fully polynomial approximation scheme for strip-packing, or packing rectangles into a rectangle of xed width and minimum height, a classical NP-hard cutting-stock problem. The algorithm nds a packing of n rectangles whose total height is within a factor of (1 +) of optimal (up to an additive term), and has running time polynomial both in n and in 1==. It is based on a r...

There is a requirement to find accurate parameters to accomplish precise dimensional accuracy, excellent surface integrity and maximum MRR. This work studies the influence of various cutting parameters on output parameters like Cutting force, Surface roughness, Flatness, and Material removal rate while face milling. A detailed finite element model was developed to simulate the face milling proc...

The one-dimensional cutting stock problem, has so many applications in lots of industrial processes and during the past few years has attracted so many researchers’ attention all over the world. In this paper a meta-heuristic method based on ACO is presented to solve this problem. In this algorithm, based on designed probabilistic laws, artificial ants do select various cuts and then select the...

The built up layer thickness in secondary deformation zone is one of the important parameters in metal cutting process. The built up layer (BUL) is formed in second deformation zone near the tool-chip interface in the back of the chip. This parameter influences the tool life and machined surface quality. This BUL should not be confused with the built up edge (BUE). The deformation of the BUL in...

Over a decade ago, the European Journal of Operational Research published its first special issue on Cutting and Packing [1] in conjunction with the founding of SICUP, the Special Interest Group on Cutting and Packing. The majority of the papers in the first special issue were focused on cutting problems in the aluminium, paper, and canvas industry, as well as container loading problems. In 199...

In Two-dimensional Bin Packing (2BP), we are given n rectangles as input and our goal is to find an axis-aligned nonoverlapping packing of these into the minimum number unit square bins. 2BP admits no APTAS current best approximation ratio 1.406 by Bansal Khan (ACM-SIAM symposium on discrete algorithms (SODA), pp 13–25, 2014. https://doi.org/10.1137/1.9781611973402.2 ). A well-studied variant G...