Solving network design problems via iterative aggregation

  • In this work, we present an exact approach for solving network design problems that is based on an iterative graph aggregation procedure. The scheme allows existing preinstalled capacities. Starting with an initial aggregation, we solve a sequence of network design master problems over increasingly fine-grained representations of the original network. In each step, a subproblem is solved that either proves optimality of the solution or gives a directive where to refine the representation of the network in the subsequent iteration. The algorithm terminates with a globally optimal solution to the original problem. Our implementation uses a standard integer programming solver for solving the master problems as well as the subproblems. The computational results on random and realistic instances confirm the profitable use of the iterative aggregation technique. The computing time often reduces drastically when our method is compared to solving the original problem from scratch.

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Metadaten
Author:Andreas Bärmann, Frauke Liers, Alexander Martin, Maximilian Merkert, Christoph Thurner, Dieter Weninger
DOI:https://doi.org/10.1007/s12532-015-0079-1
ISSN:1867-2949
Parent Title (English):Mathematical Programming Computation
Publisher:Springer Science and Business Media LLC
Document Type:Article
Language:English
Year of Completion:2015
Tag:Software; Theoretical Computer Science
Volume:7
Issue:2
Page Number:29
First Page:189
Last Page:217
Mathematical Programming Computation :MPC 2015 - Issue 2
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