1 Introduction to Location Theory and Models |
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1.1 Introduction |
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1.2 Key Questions Addressed by Location Models |
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1.3 Example Problem Descriptions |
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1.4 Key Dimensions of Location Problems and Models (new in second edition) |
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1.5 A Taxonomy of Location Problems and Models (significantly revised in second edition) |
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1.6 Summary |
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Exercises |
2 Review of Linear Programming Problem |
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2.1 Introduction |
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2.2 The Canonical Form of a Linear Programming Problem |
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2.3 Constructing the Dual of an LP Problem |
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2.4 Complementary Slackness and the Relationships Between the Primal and Dual Linear Programming Problems |
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2.5 Solving a Linear Programming Problem in Excel Model (new in second edition) |
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2.6 The Transportation Problem (significantly revised in second edition) |
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2.7 The Shortest Path Problem (significantly revised in second edition) |
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2.8 The Out-Of-Kilter Flow Algorith |
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2.9 Integer Programming Problems Models (new in second edition) |
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2.10 Summary |
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Exercises |
3 An overview of Complexity Analysis |
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3.1 Introduction |
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3.2 Basic Concepts and Notation |
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3.3 Example Computation of an Algorithm’s Complexity |
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3.4 The Classes P and NP (and NP-hard and NP-complete) |
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3.5 Summary |
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Exercises |
4 Covering Problems |
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4.1 Introduction and the Notion of Coverage |
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4.2 The Set Covering Model |
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4.3 Applications of the Set Covering Model |
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4.4 Variants of the Set Covering Location Model |
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4.5 The Maximum Covering Location Model |
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4.6 An Interesting Model Property or It Ain’t Necessarily So Models (new in second edition) |
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4.7 The Maximum Expected Covering Location Model |
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4.8 Summary |
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Exercises |
5 Center Problems |
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5.1 Introduction |
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5.2 Vertex P-Center Formulation |
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5.3 The Absolute 1- and 2-Center Problems on a Tree |
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5.4 The Unweighted Vertex P-Center Problem on a General Graph |
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5.5 The Unweighted Absolute P-Center Problem on a General Graph |
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5.6 Summary |
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Exercises |
6 Median Problems |
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6.1 Introduction |
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6.2 Formulation and Properties |
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6.3 1-Median Problem on a Tree |
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6.4 Heuristic Algorithms for the P-Median Problem |
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6.5 An Optimization-Based Lagrangian Algorithm for the P-Median Problem |
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6.6 Computational Results Using the Heuristic Algorithms and the Lagrangian Relaxation Algorithm |
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6.7 Another Interesting Property or It Still Ain’t Necessarily So Models(new in second edition) |
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6.8 Summary |
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Exercises |
7 Fixed Charge Facility Location Problems |
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7.1 Introduction |
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7.2 Uncapacitated Fixed Charge Facility Location Problems |
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7.3 Capacitated Fixed Charge Facility Location Problems |
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7.4 Summary |
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Exercises |
8 Extensions of Location Problems |
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8.1 Introduction |
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8.2 Multiobjective Problems |
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8.3 Hierarchical Facility Location Problems |
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8.4 Models of Interacting Facilities |
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8.5 Multiproduct Flows and Production/Distribution Systems |
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8.6 Location/Routing Problems |
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8.7 Hub Location Problems |
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8.8 Dispersion Models and Models for the Location of Undesirable Facilities |
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8.9 An Integrated Location-Inventory Model (new in second edition) |
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8.10 Reliability and Facility Location Modeling (new in second edition) |
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8.11 Summary |
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Exercises |
9 Location Modeling in Perspective |
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9.1 Introduction |
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9.2 The Planning Process for Facility Location |
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9.3 Summary |
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Exercises |
(Improved notation used throughout the text and new exercises added in most chapters) |