Applying a Relax-and-Fix Approach to a Fixed Charge Network Flow Model of a Maritime Inventory Routing Problem
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.
KeywordsMaritime Inventory Routing Problem Fixed Charge Network Flow Relax-and-Fix MIP-Based Local Search
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.
- 1.Maritime inventory routing problem library (MIRPLIB). https://mirplib.scl.gatech.edu/. Accessed 05 Apr 2017
- 4.Christiansen, M., Fagerholt, K.: Ship routing and scheduling in industrial and tramp shipping. In: Toth, P., Vigo, D. (eds.) Vehicle Routing: Problems, Methods, and Applications, Chap. 13, 2nd edn., pp. 381–408. No. Vlcc, Society for Industrial and Applied Mathematics, Philadelphia (2014). https://doi.org/10.1137/1.9781611973594.ch13CrossRefGoogle Scholar
- 10.Lalla-Ruiz, E., Voß, S., Expósito-Izquierdo, C., Melián-Batista, B., Moreno-Vega, J.M.: A popmusic-based approach for the berth allocation problem under time-dependent limitations. Ann. Oper. Res. 253(2), 871–897 (2017). https://doi.org/10.1007/s10479-015-2055-6MathSciNetCrossRefzbMATHGoogle Scholar
- 12.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. Eur. J. Oper. Res. 235(2), 350–366 (2014). https://doi.org/10.1016/j.ejor.2013.12.013MathSciNetCrossRefzbMATHGoogle Scholar