TY - JOUR
T1 - Mathematical study of trade-off relations in logistics systems
AU - Nanazawa, Youhei
AU - Suito, Hiroshi
AU - Kawarada, Hideo
PY - 2009/10/1
Y1 - 2009/10/1
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=67949092560&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67949092560&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2008.10.035
DO - 10.1016/j.cam.2008.10.035
M3 - Article
AN - SCOPUS:67949092560
SN - 0377-0427
VL - 232
SP - 122
EP - 126
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -