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multilevel-critical-node's Introduction

Multilevel MIP for the Critical Node Problem

Implementation of the multilevel approach to the critical node problem outlined in the paper by A. Baggio et al: https://pubsonline.informs.org/doi/abs/10.1287/opre.2020.2014

Implemented with guboripy 9.1 and python 3.8.

Using the algorithm

The algorithm is run via the main command module: run_MCNv2.py Contained within this module are functions to run the algo on individual random graph instances, or on sets of graph instances that share characteristics such as density, |V|, or budget set.

Use the algorithm by changing the main() function of this module. Examples of function use can be found commented out in main()

Modules

MCNv2 algorithm utilises three modules containing MIPs: Defend.py AttackDefend.py ProtectAttackDefend.py

Data

Datasets found in Instances folder.

Results

Results of this implementation (v2) for respective instances found in results_v2 folder, nested within folder bearing name of graph structure of dataset.

Summaries of results and benchmark comparisons against the results of Baggio et al can be found in results_summary.csv

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