Abstract
This work presents a relax-and-fix algorithm for solving a class of single product Maritime Inventory Routing Problem. The problem consists in routing and scheduling a heterogeneous fleet of vessels to supply a set of ports, keeping inventory at production and consumption ports between lower and upper limits. Two sets of constraints are proposed both for tightening the problem relaxation and for obtaining better integer solutions. Four MIP-based local searches to improve the solution provided by the relax-and-fix approach are presented. Computational experiments were carried out on instances of the MIRPLIB, showing that our approach is able to solve most instances in a reasonable amount of time, and to find new best-known solutions for two instances. A new dataset has been created by removing the clustered characteristics of ports from the original instances, and the effectiveness of our method was tested in these more general instances.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Maritime inventory routing problem library (MIRPLIB). https://mirplib.scl.gatech.edu/ (accessed April 05, 2017)
Agra, A., Andersson, H., Christiansen, M., Wolsey, L.: A maritime inventory routing problem: Discrete time formulations and valid inequalities. Networks 62(4), 297–314 (2013)
Agra, A., Christiansen, M., Ivarsøy, K.S., Solhaug, I.E., Tomasgard, A.: Combined ship routing and inventory management in the salmon farming industry. Annals of Operations Research, 1–25 (2016)
Christiansen, M.: Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem. Transportation Science 33(1), 3–16 (1999)
Christiansen, M., Fagerholt, K., Nygreen, B., Ronen, D.: Ship routing and scheduling in the new millennium. European Journal of Operational Research 228(3), 467–483 (2013)
Christiansen, M., Fagerholt, K., Ronen, D.: Ship Routing and Scheduling: Status and Perspectives. Transportation Science 38(1), 1–18 (2004)
Goel, V., Furman, K.C., Song, J.H., El-Bakry, A.S.: Large neighborhood search for LNG inventory routing. Journal of Heuristics 18(6), 821–848 (2012)
Hewitt, M., Nemhauser, G., Savelsbergh, M., Song, J.H.: A branch-and-price guided search approach to maritime inventory routing. Computers and Operations Research 40(5), 1410–1419 (2013)
Jiang, Y., Grossmann, I.E.: Alternative mixed-integer linear programming models of a maritime inventory routing problem. Computers & Chemical Engineering 77, 147–161 (2015)
Papageorgiou, D.J., Cheon, M.S., Harwood, S., Trespalacios, F., Nemhauser, G.L., Stewart, H.M.: Recent Progress Using Matheuristics for Strategic Maritime Inventory Routing (2016)
Papageorgiou, D.J., Keha, A.B., Nemhauser, G.L., Sokol, J.: Two-stage decomposition algorithms for single product maritime inventory routing. INFORMS Journal on Computing 26(4), 825–847 (2014)
Papageorgiou, D.J., Nemhauser, G.L., Sokol, J., Cheon, M.S., Keha, A.B.: MIRPLib - A library of maritime inventory routing problem instances: Survey, core model, and benchmark results. European Journal of Operational Research 235(2), 350–366 (2014)
Pochet, Y., Wolsey, L.A.: Production planning by mixed integer programming. Springer Science & Business Media (2006)
Song, J.H., Furman, K.C.: A maritime inventory routing problem: Practical approach. Computers & Operations Research 40(3), 657–665 (2013)
Uggen, K.T., Fodstad, M., Nørstebø, V.S.: Using and extending fix-and-relax to solve maritime inventory routing problems. TOP 21(2), 355–377 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Friske, M.W., Buriol, L.S. (2017). A Relax-and-Fix Algorithm for a Maritime Inventory Routing Problem. In: Bektaş, T., Coniglio, S., Martinez-Sykora, A., Voß, S. (eds) Computational Logistics. ICCL 2017. Lecture Notes in Computer Science(), vol 10572. Springer, Cham. https://doi.org/10.1007/978-3-319-68496-3_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-68496-3_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68495-6
Online ISBN: 978-3-319-68496-3
eBook Packages: Computer ScienceComputer Science (R0)