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Table of Contents
Intro; Contents; Chapter 1: Location Modeling and Covering Metrics; 1.1 Location Science; 1.2 Standards Based Coverage; 1.3 Site Selection Context and History; 1.4 Surveillance, Sensors, and Warning Systems; 1.5 Emergency Response; 1.6 Nature Reserve Protection; 1.7 Spatial Separation; 1.8 Expanded Locational Constructs; 1.9 General Form of Coverage; 1.10 Summary and Concluding Remarks; References; Chapter 2: Classic Beginnings; 2.1 Introduction; 2.2 Theory and Innovation; 2.3 Location Set Covering Problem; 2.3.1 Formulation; 2.3.2 Planning Facility Deployment; 2.3.3 Applications
2.4 Maximal Covering Location Problem2.4.1 Formulation; 2.4.2 Planning Facility Deployment; 2.4.3 Applications; 2.5 Theoretical Linkages; 2.6 Fixed Charges; 2.7 Summary and Concluding Comments; References; Chapter 3: Extended Forms of Coverage; 3.1 Introduction; 3.2 Multiple Service; 3.3 Existing Service System; 3.4 Site Quality; 3.5 Multiple Objectives; 3.6 Backup Coverage; 3.7 Coordinated Systems; 3.7.1 Facility Type; 3.7.2 Assisting Facility Types; 3.7.3 Coordinated Access; 3.7.4 Conditional Coverage; 3.8 Hierarchical Services; 3.8.1 Successively Inclusive Services
3.8.2 Activities Between Levels3.9 Multiple Optima; 3.10 Summary and Concluding Comments; References; Chapter 4: Probabilistic Coverage; 4.1 Introduction; 4.2 Reliable Coverage; 4.3 Expected Coverage; 4.4 Maximal Reliable Coverage; 4.5 Queuing; 4.6 Facility Availability; 4.7 Extensions; 4.8 Summary and Concluding Comments; References; Chapter 5: Anti-cover; 5.1 Introduction; 5.2 Separation Context; 5.2.1 Separation to Avoid Concentration Around Demand; 5.2.2 Separation Between Sited Facilities; 5.3 Model Construct; 5.4 Mathematical Structure; 5.4.1 Cliques; 5.4.2 Hybrid
5.4.3 Theoretical Bounds5.5 Relaxations and Extensions; 5.5.1 Relaxation; 5.5.2 Extension; 5.6 Inefficiency; 5.7 Facets and More; 5.8 Summary and Concluding Comments; References; Chapter 6: Weighted Benefit, Variable Radius, and Gradual Coverage; 6.1 Introduction; 6.2 Equity and Implied Value of Service; 6.3 Generalized Maximal Covering Location Problem; 6.4 Expanded Forms of Generalized Coverage; 6.5 Endogenously Determined Coverage; 6.6 Continuous Endogenous Coverage; 6.7 Gradual Coverage; 6.8 Summary and Concluding Comments; References; Chapter 7: Capture, Capacities, and Thresholds
7.1 Introduction7.2 Maximum Capture; 7.3 Capturing/Intercepting Flow; 7.4 Capacities; 7.4.1 System Optimal Perspective; 7.4.2 User Optimal Perspective; 7.4.3 Equal Fraction Perspective; 7.5 Thresholds; 7.6 Franchise Territory Design; 7.7 Summary and Concluding Comments; References; Chapter 8: Continuous Space Coverage; 8.1 Introduction; 8.2 Problems; 8.2.1 Discrete Demand; 8.2.2 Discrete Potential Facility Locations; 8.2.3 Continuous Demand and Infinite Potential Facility Locations; 8.3 Formulations; 8.4 Simplification and Relaxation
2.4 Maximal Covering Location Problem2.4.1 Formulation; 2.4.2 Planning Facility Deployment; 2.4.3 Applications; 2.5 Theoretical Linkages; 2.6 Fixed Charges; 2.7 Summary and Concluding Comments; References; Chapter 3: Extended Forms of Coverage; 3.1 Introduction; 3.2 Multiple Service; 3.3 Existing Service System; 3.4 Site Quality; 3.5 Multiple Objectives; 3.6 Backup Coverage; 3.7 Coordinated Systems; 3.7.1 Facility Type; 3.7.2 Assisting Facility Types; 3.7.3 Coordinated Access; 3.7.4 Conditional Coverage; 3.8 Hierarchical Services; 3.8.1 Successively Inclusive Services
3.8.2 Activities Between Levels3.9 Multiple Optima; 3.10 Summary and Concluding Comments; References; Chapter 4: Probabilistic Coverage; 4.1 Introduction; 4.2 Reliable Coverage; 4.3 Expected Coverage; 4.4 Maximal Reliable Coverage; 4.5 Queuing; 4.6 Facility Availability; 4.7 Extensions; 4.8 Summary and Concluding Comments; References; Chapter 5: Anti-cover; 5.1 Introduction; 5.2 Separation Context; 5.2.1 Separation to Avoid Concentration Around Demand; 5.2.2 Separation Between Sited Facilities; 5.3 Model Construct; 5.4 Mathematical Structure; 5.4.1 Cliques; 5.4.2 Hybrid
5.4.3 Theoretical Bounds5.5 Relaxations and Extensions; 5.5.1 Relaxation; 5.5.2 Extension; 5.6 Inefficiency; 5.7 Facets and More; 5.8 Summary and Concluding Comments; References; Chapter 6: Weighted Benefit, Variable Radius, and Gradual Coverage; 6.1 Introduction; 6.2 Equity and Implied Value of Service; 6.3 Generalized Maximal Covering Location Problem; 6.4 Expanded Forms of Generalized Coverage; 6.5 Endogenously Determined Coverage; 6.6 Continuous Endogenous Coverage; 6.7 Gradual Coverage; 6.8 Summary and Concluding Comments; References; Chapter 7: Capture, Capacities, and Thresholds
7.1 Introduction7.2 Maximum Capture; 7.3 Capturing/Intercepting Flow; 7.4 Capacities; 7.4.1 System Optimal Perspective; 7.4.2 User Optimal Perspective; 7.4.3 Equal Fraction Perspective; 7.5 Thresholds; 7.6 Franchise Territory Design; 7.7 Summary and Concluding Comments; References; Chapter 8: Continuous Space Coverage; 8.1 Introduction; 8.2 Problems; 8.2.1 Discrete Demand; 8.2.2 Discrete Potential Facility Locations; 8.2.3 Continuous Demand and Infinite Potential Facility Locations; 8.3 Formulations; 8.4 Simplification and Relaxation