We propose a framework to model general guillotine restrictions in two-dimensional cutting problems formulated as Mixed Integer Linear Programs (MIP). The modeling framework requires a pseudo-polynomial number of variables and constraints, which can be effectively enumerated for medium-size instances. Our modeling of general guillotine cuts is the first one that, once it is implemented within a...

It is very exciting to see how operations research methods and models can be implemented in various disciplines and areas of industry. In this paper, two integer programming (IP) models are proposed to solve the layout problem in the fashion industry. Before cutting, several layers of cloth are put on a cutting table and several templates, indicating how to cut all material for a specific size,...

Understanding of the method by which diathermy produces cutting, coagulation and haemostasis, is essential for surgeons of all kinds. The key lies in the word 'POWER" and "Safety" is the watchword. All diathermy functions depend on power and it is only variations of this quantitatively and qualitatively that changes them from coagulation to cutting. A simple demonstration of power using a coupl...

We consider the problem of fair division of a two dimensional heterogeneous good among several agents. Applications include division of land as well as ad space in print and electronic media. Classical cake cutting protocols either consider a one-dimensional resource, or allocate each agent several disconnected pieces. In practice, however, the two dimensional shape of the allotted piece is of ...

Frequent upgrading and aggressive price-cutting have become standard practice in the computer sector. While necessitated in part by declining production costs and a highly competitive market, these strategies have also served to make computers more affordable, growing the size of the overall market. Recently downturns in the sales of computers motivate us to examine the impact of these strategi...

Software systems are growing in size and complexity. Increased complexity often leads to decresed mainainability and bad modularity, and re-engineering tasks is often performed in order to increase the key qualities of the system. With the incentive of a growing attention to aspect-oriented programming, the efforts to devise new techniques for refactoring legacy system into an aspect-oriented d...

Considerable research has been conducted over recent decades on the role of non‑metallic inclusions and their link to the machinability of different steels. The present work reviews the mechanisms of steel fractures during different mechanical machining operations and the behavior of various non-metallic inclusions in a cutting zone. More specifically, the effects of composition, size, number a...

The 1-dimensional Cutting Stock Problem (1-CSP) seeks to fulfill with a minimum trim loss the demand of parts of various lengths by cutting them out from a given stock size. In the Pattern Minimization Problem (1-PMP) one wants an optimal 1-CSP solution that uses a minimum number of distinct cutting patterns. We discuss two formulations of 1-PMP: (1) introduced by Vanderbeck, and (2) obtained b...

The aim of this study was to determine the cutting ability of chemical vapor deposition (CVD) diamond burs coupled to an ultrasonic dental unit handpiece for minimally invasive cavity preparation. One standard cavity was prepared on the mesial and distal surfaces of 40 extracted human third molars either with cylindrical or with spherical CVD burs. The cutting ability was compared regarding typ...