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Iterative aggregation and disaggregation algorithm for pseudo-polynomial network flow models with side constraints

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  • Clautiaux, François
  • Hanafi, Saïd
  • Macedo, Rita
  • Voge, Marie-Émilie
  • Alves, Cláudio

Abstract

This paper develops a general solution framework based on aggregation techniques to solve NP-Hard problems that can be formulated as a circulation model with specific side constraints. The size of the extended Mixed Integer Linear Programming formulation is generally pseudo-polynomial. To efficiently solve exactly these large scale models, we propose a new iterative aggregation and disaggregation algorithm. At each iteration, it projects the original model onto an aggregated one, producing an approximate model. The process iterates to refine the current aggregated model until the optimality is proved.

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  • Clautiaux, François & Hanafi, Saïd & Macedo, Rita & Voge, Marie-Émilie & Alves, Cláudio, 2017. "Iterative aggregation and disaggregation algorithm for pseudo-polynomial network flow models with side constraints," European Journal of Operational Research, Elsevier, vol. 258(2), pages 467-477.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:2:p:467-477
    DOI: 10.1016/j.ejor.2016.09.051
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    References listed on IDEAS

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    Cited by:

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