Fragile Networks: Anna Nagurney and Qiang Patrick Qiang Review from Wright Patterson Air Force Research Library Newsletter 
Description: Providing a unified and rigorous treatment of network systems, Fragile Networks presents new and novel methodological approaches that both capture and measure network vulnerabilities and performance. Identifying how performance, vulnerabilities, and synergy can be quantified, the book deftly demonstrates how the new network measure has significant advantages over several existing measures. This book formalizes the concept of network robustness, a important aspect associated with network vulnerability. The authors explore an array of topics that are of vital interest to practicing applied mathematicians, statisticians, computer scientists, operations researchers, industrial engineers, civil engineers, and economists. From the rear jacket: 

A unified treatment of the vulnerabilities that exist in realworld network systems— with tools to identify synergies for mergers and acquisitions 

The authors approach the analyses by abstracting not only topological structures of networks, but also the behavior of network users, the demand for resources, the resulting flows, and the associated costs. Following an introduction to the fundamental methodologies and tools required for network analysis and network vulnerability, the book is organized into three selfcontained parts: Part I— Network Fundamentals, Efficiency Measurement, and Vulnerability Analysis explores the theoretical and practical foundations for a new network efficiency measure in order to assess the importance of network components in various network systems. Methodologies for distinct decisionmaking behaviors are outlined, along with the tools for qualitative analysis, the algorithms for the computation of solutions, and a thorough discussion of the unified network efficient measure and network robustness with the unified measure. Part II— Applications and Extensions examines the efficiency changes and the associated cost increments after network components are eliminated or partially damaged. A discussion of the recently established connections between transportation networks and different critical networks is provided, which demonstrates how the new network measures and robustness indices can be applied to different supply chain, financial, and dynamic networks, including the Internet and electronic power networks. Part III—Mergers and Acquisitions, Network Integration, and Synergies reveals the connections between transportation networks and different network systems and quantifies the synergies associated with the network systems, from total cost reduction to environmental impact assessment. In the case of mergers and acquisitions, the focus is on supply chain networks. The authors outline a systemoptimization perspective for supply chain networks and also formalize coalition formation using game theory with insights into the merger paradox. With its numerous network examples and realworld applications, Fragile Networks: Identifying Vulnerabilities
and Synergies in an Uncertain World is an excellent book for courses in network science, transportation
science, operations management, and financial networks at the upperundergraduate and graduate levels. It
is also a valuable reference for researchers and practitioners in the areas of applied mathematics, computer
science, operations research, management science, finance, and economics, as well as industrial, systems, and
civil engineering. 

Last
Update: May 1, 2010 