This thesis considers one of the classical problems in the actuarial mathematics literature, the decay of the probability of ruin in the collective risk model. The
claim number process N(t) is assumed to be a renewal process, the resulting model
being referred as the Sparre Andersen risk model. The inter-claim...
Supplementary mathematical analysis and comparison with the results of tests. This report is one of a series issued in cooperation with the Army-Navy-Civil Committee on Aircraft Design Criteria under the supervision of the Aeronautical Board.
We investigate the optimal harvesting strategies for McKendrick type population models. Models of this type endow the population with a continuous age structure. They consist of a partial differential equation with a boundary condition which involves an integral of the solution. We study two problems, the first concerns the yield...
This paper discusses the development of a computer simulation program for the operation of a log landing for the proposed Helistat airship. The first part of the paper describes the time study used to develop production rates for the chasers, buckers, front-end loaders, and skidders to be used on the...
The principles of mobility are applied to the forest setting to
simulate the movement of logs with a rubber tired-skidder. A computer
program was written to perform the analysis . Vehicle-terrain and logterrain
interactions are the resistances which must be overcome by
the available vehicle power. The rate at which...
The aim of this research is to understand and quantify the modeling differences between CSiBridge and OpenSees, and to determine sensitive model parameters. When designing bridges for the high seismic region of California, the California Department of Transportation (Caltrans) performs nonlinear time history analysis of their bridge models. For three-dimensional...
We present a new mathematical model for the development of biofilm that extends the nonlinear density-dependent continuum model introduced by Eberl et al. in 2001. It is a coupled nonlinear density-dependent diffusion-reaction model for biomass spreading, describing the interaction of nutrient availability and biomass production. The model by Eberl has...