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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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Spring 2023
In this thesis, we present Approximation Schemes for the Min Sum k Clustering problem on a number of classes of graph metrics. In Min Sum k Clustering problem introduced by Sahni and Gonzalez [22] in 1976, given a graph G(V, E) with metric edge costs and parameter k, we are asked to partition V...
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Spring 2011
In this thesis, we present our work on two combinatorial optimization problems. The first problem is the Bandpass problem, and we designed a linear time exact algorithm for the 3-column case. The other work is on the Complementary Maximal Strip Recovery problem, for which we designed a...
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Spring 2023
Pathfinding has been an interesting research area throughout the years. Heuristic search algorithms are used to find a path with the minimum length between a start and a goal in a graph, which has applications in GPS navigation and video games. There are different ways to create a heuristic for...
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Fall 2011
Multi-agent pathfinding problems involve finding plans for agents that must travel from their start locations to their targets without colliding. Recent work produced a number of algorithms to solve the problem as well as an ample supply of related theory. This work is based on a related work...