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Fall 2016
In this thesis, we present approximation algorithms for various NP-hard vehicle routing problems, as well as for a related maximum group coverage problem. Our main contribution is a framework to build good constant-factor approximation algorithms for variants of the multi-depot $k$-travelling...
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Fall 2015
In this thesis, we consider two closely related clustering problems, Min Sum k-Clustering (MSkC) and Balanced k-Median (BkM). In Min Sum k-clustering, one is given a graph and a parameter k, and has to partition the vertices in the graph into k clusters to minimize the sum of pairwise distances...
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Approximation Algorithms for Multi-processor Task Scheduling Problems on Identical Parallel Processors
DownloadFall 2013
In this thesis we present approximation algorithms for some multi-processor task scheduling problems. In a scheduling problem, there is a set of processors P that can be used to process a set of tasks T and the goal is to find a feasible scheduling of the tasks on the processors, while optimizing...