Positioning and construction algorithms for a specific absolute positioning magnetic ruler system

Abstract Absolute positioning magnetic rulers are rulers which calculate the distance of the reading head based just on one reading of a magnetic signal. A new absolute positioning magnetic ruler method which is based on rulers with trapezoidal magnetic poles is considered in this paper. On a fixed position of a ruler, the reading head … Read more

Stochastic geometric optimization with joint probabilistic constraints

This paper discusses geometric programs with joint probabilistic constraints. When the stochastic parameters are normally distributed and independent of each other, we approximate the problem by using piecewise polynomial functions with non-negative coefficients, and transform the approximation problem into a convex geometric program. We prove that this approximation method provides a lower bound. Then, we … Read more