LEADER 05173nam 2200625Ia 450 001 9910830034903321 005 20230721022058.0 010 $a1-282-23734-9 010 $a9786612237348 010 $a0-470-50113-8 010 $a0-470-50112-X 035 $a(CKB)1000000000773825 035 $a(EBL)448856 035 $a(OCoLC)441892456 035 $a(SSID)ssj0000157774 035 $a(PQKBManifestationID)11167601 035 $a(PQKBTitleCode)TC0000157774 035 $a(PQKBWorkID)10139658 035 $a(PQKB)11767879 035 $a(MiAaPQ)EBC448856 035 $a(EXLCZ)991000000000773825 100 $a20090210d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFragile networks$b[electronic resource] $eidentifying vulnerabilities and synergies in an uncertain world /$fAnna Nagurney, Qiang Qiang 210 $aHoboken, NJ $cWiley$dc2009 215 $a1 online resource (340 p.) 300 $aDescription based upon print version of record. 311 $a0-470-44496-7 320 $aIncludes bibliographical references and index. 327 $aFRAGILE NETWORKS: Identifying Vulnerabilities and Synergies in an Uncertain World; CONTENTS; List of Figures; List of Tables; PART I NETWORK FUNDAMENTALS, EFFICIENCY MEASUREMENT, AND VULNERABILITY ANALYSIS; 1 Introduction and Overview; 2 Fundamental Methodologies, Network Models, and Algorithms; 2.1 Review of Variational Inequality Theory and its Relationships to Optimization; 2.2 Decentralized Decision-Making and User-Optimization; 2.2.1 The Network Equilibrium (U-O) Model with Fixed Demands; 2.2.2 Network Equilibrium (U-O) Models with Elastic Demands 327 $a2.3 Centralized Decision-Making and System-Optimization2.3.1 The System-Optimization (S-O) Models; 2.3.2 System-Optimality Conditions; 2.4 Algorithms; 2.4.1 Equilibration Algorithms; 2.4.2 The Projection Method; 2.4.3 The Modified Projection Method; 2.4.4 The Euler Method; 2.5 Sources and Notes; 3 Network Performance Measurement and Robustness Analysis; 3.1 Some Preliminaries and Network Centrality Measures; 3.2 A Unified Network Performance Measure Based on Decentralized Decision-Making; 3.2.1 A Desirable Property of the Network Performance Measure; 3.2.2 The Importance of Network Components 327 $a3.2.3 Numerical Examples3.2.4 An Application of the New Network Measure to the Braess Network with Varying Demands; 3.3 A Network Robustness Measure Under Decentralized Decision-Making Behavior; 3.3.1 Some Theoretical Results for the Network Robustness Measure under BPR Functions and Fixed Demands; 3.3.2 A Braess-Inspired Network; 3.4 Relative Total Cost Indices for Assessing Network Robustness; 3.4.1 Theoretical Results for Networks with BPR Functions; 3.4.2 A Network Example; 3.5 Summary and Conclusions; 3.6 Sources and Notes; PART II APPLICATIONS AND EXTENSIONS 327 $a4 Application of the Measures to Transportation Networks4.1 A Larger Fixed Demand Network; 4.2 The Sioux Falls Network; 4.2.1 Importance of Links in the Sioux Falls Network; 4.2.2 Robustness of the Sioux Falls Network; 4.2.3 The Relative Total Cost Indices for the Sioux Falls Network; 4.3 The Anaheim Network; 4.3.1 Robustness of the Anaheim Network; 4.3.2 The Relative Total Cost Indices for the Anaheim Network; 4.4 The Environmental Robustness and Link Importance of Transportation Networks; 4.4.1 Environmental Emissions 327 $a4.4.2 Environmental Impact Assessment Indices for Transportation Networks4.4.3 Environmental Link Importance Identification and Ranking; 4.4.4 Numerical Examples; 4.5 Summary and Conclusions; 4.6 Sources and Notes; 5 Supply Chain Networks with Disruption Risks; 5.1 Introduction; 5.2 The Supply Chain Model with Disruption Risks and Random Demands; 5.2.1 The Behavior of the Manufacturers; 5.2.2 The Behavior of the Retailers; 5.2.3 The Market Equilibrium Conditions; 5.2.4 The Equilibrium Conditions of the Supply Chain; 5.3 A Weighted Supply Chain Performance Measure 327 $a5.3.1 A Supply Chain Network Performance Measure 330 $aA unified treatment of the vulnerabilities that exist in real-world network systems-with tools to identify synergies for mergers and acquisitions Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World presents a comprehensive study of network systems and the roles these systems play in our everyday lives. This book successfully conceptualizes, defines, and constructs mathematically rigorous, computer-based tools for the assessment of network performance and efficiency, along with robustness and vulnerability analysis. The result is a thorough explorat 606 $aNetwork analysis (Planning) 606 $aSystem analysis 615 0$aNetwork analysis (Planning) 615 0$aSystem analysis. 676 $a003/.72 676 $a004.65 700 $aNagurney$b Anna$0288789 701 $aQiang$b Qiang$f1974-$01723513 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830034903321 996 $aFragile networks$94124845 997 $aUNINA