Models for Public Systems Analysis

Edward J. Beltrami, J. William Schmidt

• Publisher: Academic Press
• Year: 2013
• Print ISBN:
  9780120855650
• eBook ISBN:
  9781483267104
• Topic: Social Sciences
• Subtopic: Infrastructure
• Index: Social Sciences

Models for Public Systems Analysis considers the mathematical model formulation to improve the delivery of urban service systems, such as sanitation, fire, police, and ambulances. This book is composed of five chapters that demonstrate the translation of significant societal problems into a mathematical framework, as well as the advantages and limitations of these models. Chapter 1 deals with the issue of plant location and siting questions, with a brief overview of water resource modeling, while Chapter 2 provides set-covering models for manpower scheduling as a direct outgrowth of the author's experience with the Sanitation Department in New York City. Chapters 3 and 4 describe the delivery of emergency services, particularly with models of congestion and delay and of optimal deployment. These chapters also present probabilistic analysis in nature since both the spatial and the temporal patterns of demand are intrinsically uncertain. The tools used are queueing theory and geometric probability. Chapter 5 examines network optimization methods, mainly to explore questions of vehicle routing and scheduling. This chapter also provides a few comments on large-scale models of urban growth, these being generally more familiar to the regional planner then to the operations analyst. This book will prove useful to applied mathematics and policy science students.

Table of contents

• Front Cover
• Models for Public Systems Analysis
• Copyright Page
• Table of Contents
• Dedication
• Preface
• Acknowledgments
• INTRODUCTION: Some Thoughts on Mathematics and Public Policy
• CHAPTER 1. Plant Location and Optimal Distribution
• CHAPTER 2. Manpower Scheduling
• CHAPTER 3. Models for Deploying Emergency Services I: Response Delays
• CHAPTER 4. Models for Deploying Emergency Services II: Allocation of Units
• CHAPTER 5. Network Optimization
• POSTSCRIPT: Urban Growth Models
• APPENDIX A: Linear Programming
• APPENDIX B: Integer Programming
• APPENDIX C: Random Processes
• APPENDIX D: Nonlinear Optimization
• APPENDIX E: Graphs, Minimal Trees, and Shortest Paths
• Index