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- 1Combinatorial Optimization
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Fall 2020
Scheduling problems are problems to assign jobs to machines at particular times while trying to optimize some objective function. In this work, we study one such problem, called Generalized Path Scheduling (GPS) problem, in which the machines form a path and each job is assigned a subpath of...
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Fall 2013
In this thesis, we consider min-max vehicle routing problems, specifically min-max tour cover and star cover problems. Given a metric (V,c) and a number k, a set of tours (respectively stars) in G is called a k-tour cover (respectively k-star cover), if they cover all the vertices of G. In the...
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Fall 2011
In this thesis, we present a variety of approximation algorithms for the Unsplittable Flow on Paths problem and some Traveling Salesman problems. The main contribution to the Unsplittable Flow on Paths problem is a logarithmic approximation algorithm which is the first non-trivial approximation...