We survey the main formulations and solution methods for two-dimensional orthogonal cutting packing problems, where both items bins are rectangles. focus on exact relaxations four problems from literature: finding a with minimum height, into number of bins, maximum value, determining existence feasible packing.

The productivity of wood harvesting operations is one the main viability indicators forestry enterprise, which directly influenced by land, population, and operational planning characteristics. variables that affect machines are particularly difficult to measure have complex relationships, making it challenging predict operations. This study generated a model using machine learning (ML) techniq...

We introduce three algorithms for optimization of a tool path of a numerically controlled five-axis milling machine. The unifying idea is a flexible geometric structure which adapts itself to a certain cost function defined on the required part surface. Algorithm 1 is based on the variational grid generation, Algorithm 2 is based on a new modification of the space filling curves techniques. Alg...

During the second half of the twentieth century, a revolution began to develop as a result of the improved technology for the removal of impacted third molars. In particular, the development of high-speed rotary cutting instruments, improved surgical techniques, panoramic radiography, and improved local anesthesia, outpatient general anesthesia, and intravenous sedation combined to significantl...

This study analyses the cost structure of the several processes associated with the shipbuilding industry. The analysed productive processes are: the cutting preparation procedures; the several steel plate cutting processes; the processes of hull plates and stiffeners forming; the associated transport and assembling of plates and profiles; and finally the welding processes. The paper includes 2...

The objective of the study was to evaluate the degree of temperature change in the bone, directly adjacent to the implant site during the abutment part of one-piece implants, during procedures involving different cutting techniques. Three different one-piece implants: Osteoplant, Nobel Direct, Q-implant were cut with air-turbine burs after insertion in fresh pig ribs. Tests were performed with ...

We propose the bound-optimal cutting plane method. It is a new paradigm for cutting plane generation in Mixed Integer Programming allowing for the simultaneous generation of k cuts which, when added to the current Linear Programming relaxation, yield the largest bound improvement. By Linear Programming duality arguments and standard linearization techniques we show that, for a large family of c...