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A Multi-Skilled Approach To Property Maintenance Considering Temporal, Spatial And Resource Constraints, Anthony G. Vatterott Nov 2018

A Multi-Skilled Approach To Property Maintenance Considering Temporal, Spatial And Resource Constraints, Anthony G. Vatterott

Dissertations

With the continued increase in age of the United States housing and building stock, as well as the continued need to maintain properties across the U.S., the need for timely, cost-optimal maintenance is ever more critical. This paper proposes the application of a mathematical model to aid in the scheduling and assignment of construction and maintenance tasks, considering the multi-skilled workforce. The benefit of this approach is to take advantage of the economies of scale that can be developed using cross-functional skilled workers with varying levels of competence and efficiency. This approach schedules and assigns tasks using data from maintenance …


A Numerical Study Of The Van Roosbroeck System For Semiconductors, Alan Ghazarians Oct 2018

A Numerical Study Of The Van Roosbroeck System For Semiconductors, Alan Ghazarians

Master's Theses

Since the 1950s, semiconductors have played a significant and daily role in our lives, as they are the foundation of our computers, phones, and other electronic devices. Aside from their obvious uses, the equations that govern semiconductors have peaked the interest of mathematicians and numerical analysts. In 1950, van Roosbroeck described the fundamental semiconductor device equations as a system of three nonlinear coupled partial di↵erential equations. The van Roosbroeck system poses a challenge numerically because of its strong nonlinearity and coupled equations. Its diculties lie in simultaneously solving drift-di↵usion equations for electrons and holes and using their solutions to solve …


Lagrangian Coherent Structures: A Climatological Look, Andrew Sven Mccall Jr. Jan 2018

Lagrangian Coherent Structures: A Climatological Look, Andrew Sven Mccall Jr.

UVM College of Arts and Sciences College Honors Theses

A relatively new area at the crossroads of fluid and nonlinear dynamics are objects known as Lagrangian Coherent Structures (LCSs). LCSs are mathematically classified to differentiate parts of fluid flows. They, themselves, are the most influential parts of fluids. These objects have the most influence on the fluids around them and they allow for a sense of hierarchy in an otherwise busy environment of endless variables and trajectories. While all particles of fluids have the same dynamics on an individual basis, areas of fluid are not created equal and to be able to detect which parts will be the most …