In this paper we deal with sensitivity analysis of combinatorial optimization problems and its fundamental term, the tolerance. For three classes of objective functions (Σ,Π,MAX) we give some basic properties on upper and lower tolerances. We show that the upper tolerance of an element is well defined, how to compute the upper tolerance of an element, and give equivalent formulations when the u...

While the implementation of tools such as image-guidance and immobilization devices have helped to prevent geometric misses in radiation therapy, many treatments remain prone to error if these items are not available, not utilized for every fraction, or are misused. The purpose of this project is to design a set of site-specific treatment tolerance tables to be applied to the treatment couch fo...

Abstract Statistical analysis is frequently used to determine how manufacturing tolerances or operating condition uncertainties affect system performance. Surrogate one of the accelerating ways in engineering tolerance quantification analyze uncertainty with an acceptable computational burden rather than costly traditional methods such as Monte Carlo simulation. Compared more complicated surrog...

the map and the model designed by a designer and presented to a manufacturer in the form of a map is the result of his knowledge and innovation. the manufacturer, in turn, uses his best effort to produce a part accordingly. however, because of production problems and raw material, producing a precise part is very difficult and costly. one of the most important problems in this regard is designi...