This work addresses a scheduling problem arising from an application in a real industrial context, namely task scheduling in the cutting department of a clothing industry. In general, clothes are produced by assembling fabric cutouts. In the cutting department, fabric rolls on a line with a constant speed, and is cut by automated machines arranged along the line. Machines are all identical. A f...

The lateral buildup ratio (LBR) used to estimate the depth dose distribution of electron beams for an irregular cutout field was obtained for a 4-MeV energy beam from a Varian 21 EX linear accelerator. The depth-dose curves for a group of circular cutout fields starting from a 2-cm diameter were measured. Electron diodes were used in a large water tank to measure the LBR values for 6, 9, 12, an...

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This paper addresses the issue of trap design for sensor-less automated assembly. First, we present a simple algorithm that determines in O(nmm(nm) log(nm)) time whether an n-sided polygonal part will fall through an m-sided polygonal trap. We then introduce the notion of a minimal trap for a polygonal part, and develop an O(n 4+") algorithm that designs a family of minimal feeders built from t...

In dusty plasma experiments, the confining potential of the GEC rf Reference Cell is commonly assumed to be parabolic. There are various ways to test this assumption, many of which interfere with the plasma. We use the noninvasive method of perturbing a single particle suspended in the plasma with laser pulses. In this experiment a cw laser (532nm, 0.01.05W) supplied the radiation pressure forc...

We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.