Topology sensitive algorithms for large scale uncapacitated covering problem
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Date
2011
Authors
Sabbir, Tarikul Alam Khan
Journal Title
Journal ISSN
Volume Title
Publisher
Lethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Science, c2011
Abstract
Solving NP-hard facility location problems in wireless network planning is a common scenario.
In our research, we study the Covering problem, a well known facility location problem with applications
in wireless network deployment. We focus on networks with a sparse structure. First,
we analyzed two heuristics of building Tree Decomposition based on vertex separator and perfect
elimination order. We extended the vertex separator heuristic to improve its time performance. Second,
we propose a dynamic programming algorithm based on the Tree Decomposition to solve the
Covering problem optimally on the network. We developed several heuristic techniques to speed
up the algorithm. Experiment results show that one variant of the dynamic programming algorithm
surpasses the performance of the state of the art mathematical optimization commercial software on
several occasions.
Description
ix, 89 leaves : ill. ; 29 cm
Keywords
Combinatorial optimization , Trees (Graph theory) , Algorithms , Wireless internet , Wireless sensor networks , Dissertations, Academic