A Simultaneous Magnanti-Wong Method to Accelerate Benders Decomposition for the Metropolitan Container Transportation Problem

Andrew Perrykkad, Andreas T. Ernst, Mohan Krishnamoorthy

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1 Citation (Scopus)


In most Australian cities, container ports are located close to the city, with transportation to and from the port facilitated by trucks. Recently, with a view to reducing container-truck induced city congestion and pollution, state and federal governments have begun championing a modal switch to short-haul rail for these transportation tasks. In this paper, we describe a metropolitan container transportation problem arising from this context that seeks to effectively leverage both modes of transport from a least-cost perspective. We propose a mathematical programming formulation and develop a new modified Benders decomposition method for the problem. We show that the simultaneous Magnanti-Wong method finds Pareto-optimal cuts by solving an augmented version of the subproblem that exploits subproblem dual-degeneracy without destroying its underlying structure. Computational results demonstrate the effectiveness of this routine over the performance of commercial solver implementations of the mathematical programming formulation.

Original languageEnglish
Pages (from-to)1531-1559
Number of pages29
JournalOperations Research
Issue number3
Publication statusPublished - 30 Jun 2022


  • algorithms: benders/decomposition
  • industries: transportation/shipping
  • programming: integer

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