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Applying a Relax-and-Fix Approach to a Fixed Charge Network Flow Model of a Maritime Inventory Routing Problem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11184))

Abstract

This work presents a Relax-and-Fix algorithm to solve a class of single product Maritime Inventory Routing Problems. The problem consists of routing and scheduling a heterogeneous fleet of vessels to supply a set of ports, respecting lower and upper limits of inventory at production and consumption ports, along with a time horizon. A fixed charge network flow is used to model the problem, and valid inequalities are incorporated into the formulation, providing tight bounds and enabling the Relax-and-Fix algorithm to obtain good solutions in reasonable processing times. Three MIP-based local search procedures are proposed for improving solutions. Tests performed on a set of benchmark instances from the literature show that the solution approach can be effective for solving the problem.

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Notes

  1. 1.

    http://www.cpubenchmark.net/.

References

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Acknowledgment

The present work was carried out with the support of CNPq, National Council of Scientific and Technological Development - Brazil and the support of FAPERGS, Foundation for Research Support of the State of Rio Grande do Sul.

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Correspondence to Marcelo W. Friske .

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Friske, M.W., Buriol, L.S. (2018). Applying a Relax-and-Fix Approach to a Fixed Charge Network Flow Model of a Maritime Inventory Routing Problem. In: Cerulli, R., Raiconi, A., Voß, S. (eds) Computational Logistics. ICCL 2018. Lecture Notes in Computer Science(), vol 11184. Springer, Cham. https://doi.org/10.1007/978-3-030-00898-7_1

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  • DOI: https://doi.org/10.1007/978-3-030-00898-7_1

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