Mathematical study of trade-off relations in logistics systems

Youhei Nanazawa, Hiroshi Suito, Hideo Kawarada

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper presents a mathematical model of trade-off relations arising in third party logistics using Pareto optimal solutions for multi-objective optimization problems. The model defines an optimal set of distribution costs and service levels constituting a trade-off relation. An analogy to the concept of the indifference curve in the field of economics is discussed. Numerical experiments for a simplified problem are performed, demonstrating an increasing process of the utility of logistics.

Original languageEnglish
Pages (from-to)122-126
Number of pages5
JournalJournal of Computational and Applied Mathematics
Issue number1
Publication statusPublished - 2009 Oct 1


  • Indifference curve
  • Logistics
  • Multi-objective optimization problems
  • Non-dominated sorting
  • Pareto optimal solutions
  • Sharing function
  • Trade-off


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