A graph theory-based methodology for vulnerability assessment of supply chains using the life cycle inventory database

Jun Nakatani, Kiyotaka Tahara, Kenichi Nakajima, Ichiro Daigo, Hideaki Kurishima, Yuki Kudoh, Kazuyo Matsubae, Yasuhiro Fukushima, Tomohiko Ihara, Yasunori Kikuchi, Asako Nishijima, Yuichi Moriguchi

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Owing to the growing number of risk factors that can be triggered by natural and manmade disasters, management of disruption risks in supply chains has become increasingly significant. Since the market concentration of raw material suppliers is a determinant of the supply disruption risk, identification of raw materials vital in a supply chain and concurrently whose markets are highly concentrated will help supply chain risk management. In this study, we develop a graph theory-based methodology for assessing supply chain vulnerability to disruption risks by using the life cycle inventory (LCI) database as a data source for nationwide supply chains. A supply chain structure, i.e., raw material-to-product links and overall chain, is modeled by a directed graph and its adjacency matrix, adapted from physical input–output data in the LCI database. The reachability components in the supply chain are identified by Boolean matrix calculations. Vulnerability indicators for each reachability component are determined on the basis of market concentration as measured by the Herfindahl–Hirschman Index in terms of domestic production regions and import partners as a proxy for the extent of supply disruption risks. The methodology developed is demonstrated using the national-level LCI database of Japan, and vulnerability factors are presented for 23 types of Japanese synthetic resins.

Original languageEnglish
Pages (from-to)1339-1351
Number of pages13
JournalOmega (United Kingdom)
Publication statusPublished - 2018 Mar


  • Disruption risk
  • Graph theory
  • Life cycle inventory database
  • Market concentration
  • Supply chain risk management
  • Supply chain vulnerability

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Information Systems and Management


Dive into the research topics of 'A graph theory-based methodology for vulnerability assessment of supply chains using the life cycle inventory database'. Together they form a unique fingerprint.

Cite this