Mathematical study of trade-off relations in logistics systems

Youhei Nanazawa; Hiroshi Suito; Hideo Kawarada

doi:10.1016/j.cam.2008.10.035

Mathematical study of trade-off relations in logistics systems

Youhei Nanazawa, Hiroshi Suito, Hideo Kawarada

Graduate School of Environmental and Life Science

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	122-126
Number of pages	5
Journal	Journal of Computational and Applied Mathematics
Volume	232
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2008.10.035
Publication status	Published - Oct 1 2009

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2008.10.035

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AB - 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.

KW - Indifference curve

KW - Logistics

KW - Multi-objective optimization problems

KW - Non-dominated sorting

KW - Pareto optimal solutions

KW - Sharing function

KW - Trade-off

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Mathematical study of trade-off relations in logistics systems

Abstract

Keywords

ASJC Scopus subject areas

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