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In the rarefied gas dynamics, the classic kinetic models are more accurate and complicated, while the fluid models are much simpler but fail in some cases. In this thesis, we propose a new local up-scaling model to couple ...

The vehicle routing problem (VRP) has been an active field of study by operations researchers for over 50 years. Many practical applications have been presented in the literature, and many solution techniques have been ...

Genome assemblies have various types of deficiencies or misassemblies. This work is aimed at detecting and correcting a type of misassembly that we call Compression/Expansion or CE misassemblies whereby a section of ...

By sampling the genetic content of microbes at the nucleotide level, metagenomics has rapidly established itself as the standard in characterizing the taxonomic diversity and functional capacity of microbial populations ...

We consider an extension of the classical secretary problem where a decision maker observes only the relative ranks of a sequence of up to N applicants, whose true values are i.i.d. U[0,1] random variables. Applicants ...

In this dissertation we consider the dynamics of drug resistance in cancer and the related issue of the dynamics of cancer stem cells. Our focus is only on resistance which is caused by random genetic point mutations. A ...

Mobile facilities play important roles in many applications, including health care, public services, telecommunications, and humanitarian relief logistics. While mobile facilities operate in different manners, it is ...

This thesis broadly introduces several techniques within the context of timescale analysis. The representation, compression and reconstruction of DEM and LIDAR data types is studied with directional wavelet methods and the ...

This thesis deals with the theory and practice of manifold learning, especially as they relate to the problem of classification. We begin with a well known algorithm, Laplacian Eigenmaps, and then proceed to extend it in ...

A primary objective of Air Traffic Flow Management (ATFM) is to ensure the orderly flow of aircraft through airspace, while minimizing the impact of delays and congestion on airspace users. A fundamental challenge of ATFM ...