Multi-objective optimization for double stack train loading problem

Mao Xiang Lang, Xuesong Zhou, Yan Sun

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


To improve safety measures of loading containers on double-stack train and ensure its normal operation, this paper develops a multi-objective optimization model that focuses on a number of practical requirements including the center-of-gravity height of a loaded car and load balance considerations. A lexicographic goal programming approach is used to address different priorities for potentially conflicting objectives and constraints. To minimize the center-of-gravity height, a linear-fractional programming technique is adopted to transform the corresponding generalized mixed integer fractional problem into a sequence of mixed integer linear sub problems. The computational results of the experimental cases indicate that the proposed multi-objective optimization method can maximize the number of the TEUs loaded on the double stack train, and meanwhile lower the center-of-gravity height of the loaded cars and their weight differences, and performs superior application value.

Original languageEnglish (US)
JournalJiaotong Yunshu Xitong Gongcheng Yu Xinxi/Journal of Transportation Systems Engineering and Information Technology
Issue number6
StatePublished - Dec 1 2015


  • Double stack container transportation
  • Lexicographic goal programming approach
  • Loading problem
  • Multi-objective
  • optimization
  • Railway transportation

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Modeling and Simulation
  • Transportation


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