2023-02-02T18:26:35Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00012852
2022-12-14T04:02:42Z
1221:1223:1224:1253
Multi-Terminal Graphs and Equilibrium Problem of Flows and Tensions
NAKAMURA, Yasuka
The notion of graph was generalized to make the abstract network theory applicable to economic networks, where multi-commodities are traded among productive sectors, intermediate sectors, and final demand sectors. The generalized graph, called the multi-terminal graph, has contributed to developing a new network theory, deriving that flows of multi-commodities correspond to electric currents in electric circuits. A well-known Leontief model has been reformulated in this generalized system. A notion of tension is defined to correspond the price in economics to the voltage in electric circuits. The equilibrium problem of flows and tensions is discussed on the basis of new network, and solved under a general hypothesis that characteristics of branches are represented by complete increasing curves, which express demand and supply curves.
Article
信州大学工学部紀要 54: 49-64 (1983)
departmental bulletin paper
信州大学工学部
1983-08-25
application/pdf
信州大学工学部紀要
54
49
64
0037-3818
AN00121228
https://soar-ir.repo.nii.ac.jp/record/12852/files/Engineering54-04.pdf
eng