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Modeling alternatives to solve the connected graph k-clustering problem
by Es-Sakli, Nada, M.S., Lehigh University, 2011, 74; 1488515
Abstract (Summary)
In this thesis we explore modeling alternatives for the graph k-clustering problem. For k ≥ 2, the problem is to find a minimum cost partition of k connected subgraphs of a graph G=(V, E). We used the AMPL modeling framework to develop both a Mixed Integer Linear Programming model that uses a multi-commodity formulation and a column generation procedure that uses a restricted master problem and generates variables by solving a Pricing problem.
| Advisor: | Belotti, Pietro, Terlaky, Tamas |
| Commitee: | |
| School: | Lehigh University |
| Department: | Industrial Engineering |
| School Location: | United States -- Pennsylvania |
| Source: | MAI 49/03M, Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Industrial engineering, Operations research |
| Keywords: | Clustering, Clustering problem, Column generation, Connected graph, K-clustering, Partitioning |
| Publication Number: | 1488515 |
| ISBN: | 978-1-124-45427-6 |
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