Discrete and System Models

1. Front Matter

   Pages i-xx

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2. Foresight—Insight—Hindsight

   • James C. Frauenthal, Thomas L. Saaty

   Pages 1-22

3. Five Nautical Models

   • Robert L. Baker

   Pages 23-38

4. An Optimal Inventory Policy Model

   • Osvaldo Marrero

   Pages 39-45

5. An Arithemetic Model of Gravity

   • Donald Greenspan

   Pages 46-55

6. Four-Way Stop or Traffic Lights? An Illustration of the Modeling Process

   • Edward W. Packel

   Pages 56-75

7. A Model for Municipal Street Sweeping Operations

   • A. C. Tucker, L. Bodin

   Pages 76-111

8. Finite Covering Problems

   • Ronald E. Prather

   Pages 112-139

9. A Pulse Process Model of Athletic Financing

   • E. L. Perry

   Pages 140-164

10. Traffic Equilibria on a Roadway Network

    • Elmor L. Peterson

    Pages 165-203

11. An Optimal Mix Problem: Capacity Expansion in a Power Field

    • Jacob Zahavi

    Pages 204-217

12. Hierarchies, Reciprocal Matrices, and Ratio Scales

    • Thomas L. Saaty

    Pages 218-253

13. Multiple-Choice Testing

    • Robert J. Weber

    Pages 254-278

14. Computing Fixed Points, with Applications to Economic Equilibrium Models

    • Michael J. Todd

    Pages 279-314

15. Production Costing and Reliability Assessment of Electrical Power Generation Systems under Supply and Demand Uncertainty

    • Jacob Zahavi

    Pages 315-353

The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises be covered in one class, are included in most chapters. Some units can whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

• Combinatorics
• Mathematica
• Volume
• class
• differential equation
• equation
• graph
• mathematics
• network
• networks
• partial differential equation
• presentation
• review
• system
• time

• School of Operations Research, Cornell University, Ithaca, USA

  William F. Lucas

• Department of Mathematics, Rutgers University, New Brunswick, USA

  Fred S. Roberts

• Department of Mathematical Sciences, Rice University, Houston, USA

  Robert M. Thrall

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