Authors: Maraš, Vladislav
Lazić, Jasmina
Davidović, Tatjana 
Mladenović, Nenad 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Routing of barge container ships by mixed-integer programming heuristics
Journal: Applied Soft Computing Journal
Volume: 13
Issue: 8
First page: 3515
Last page: 3528
Issue Date: 29-May-2013
Rank: M21
ISSN: 1568-4946
DOI: 10.1016/j.asoc.2013.03.003
Abstract: 
We investigate the optimization of transport routes of barge container ships with the objective to maximize the profit of a shipping company. This problem consists of determining the upstream and downstream calling sequence and the number of loaded and empty containers transported between any two ports. We present a mixed integer linear programming (MILP) formulation for this problem. The problem is tackled by the commercial CPLEX MIP solver and improved variants of the existing MIP heuristics: Local Branching, Variable Neighborhood Branching and Variable Neighborhood Decomposition Search. It appears that our implementation of Variable Neighborhood Branching outperforms CPLEX MIP solver both regarding the solution quality and the computational time. All other studied heuristics provide results competitive with CPLEX MIP solver within a significantly shorter amount of time. Moreover, we present a detailed case study transportation analysis which illustrates how the proposed approach can be used by managers of barge shipping companies to make appropriate decisions and solve real life problems.
Keywords: Barge container ships | Empty containers 0-1 mixed integer programming | Meta-heuristics | Routing
Publisher: Elsevier
Project: Mathematical Modelas and Optimization Methods on Large-Scale Systems 
Transport system integration models 
Software development and national database for strategic management and development of transportation means and infrastructure in road, rail, air and inland waterways transport using the European transport network models 
Graph theory and mathematical programming with applications in chemistry and computer science 

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