The 
Mathematica Journal
Volume 10, Issue 1

Search

In This Issue
Articles
Trott's Corner
New Products
New Publications
Calendar
News Bulletins
New Resources
Classifieds

Download This Issue 

About the Journal
Editorial Policy
Staff and Contributors
Submissions
Subscriptions
Advertising
Back Issues
Contact Information

Configuration Analysis and Design by Using Optimization Tools in Mathematica
Frank J. Kampas
János D. Pintér

In engineering, economic, and scientific studies, decisions are frequently modeled by applying optimization concepts and techniques. This article discusses global optimization in multiextremal models and tools to handle such models in Mathematica. Since we assume that not all readers are familiar with optimization models and methods, a general modeling framework is presented. We also review several built-in Mathematica optimization functions and then introduce MathOptimizer, an application package for continuous nonlinear (convex and global) optimization. To illustrate the usage of MathOptimizer, several configuration analysis and design models are formulated and solved. We also provide some comparative notes related to current Mathematica optimization functionality (namely, the function NMinimize) and to the recently introduced MathOptimizer Professional package.

*Notebook


*PDF


*HTML

*Introduction

*Optimization in Mathematica

*Contact and Collision Problems

*Non-Uniform Size Circle Packings

*Conclusion

*Acknowledgments

*References

About the Authors
Frank J. Kampas is a senior developer at WAM Systems, Inc., where he is responsible for adding optimization capabilities to the company's supply-chain management software. He holds a Ph.D. in physics from Stanford University and an M.B.A. from Temple University.

János D. Pintér is a consultant (owner of Pintér Consulting Services, Inc.); he is also an adjunct professor at Dalhousie University. He has authored books, articles, and professional software in the area of advanced nonlinear optimization. He holds a Ph.D. (Moscow State University) and a D.Sc. (Hungarian Academy of Sciences), both in mathematics. For further information, visit myweb.dal.ca/jdpinter.

Frank J. Kampas
WAM Systems, Inc.
600 West Germantown Pike, Suite 230
Plymouth Meeting, Pennsylvania 19462
fkampas@wamsystems.com

János D. Pintér
Pintér Consulting Services, Inc.
129 Glenforest Drive
Halifax, Nova Scotia
Canada, B3M 1J2
jdpinter@hfx.eastlink.ca www.pinterconsulting.com


     
About Mathematica | Download Mathematica Player
© Wolfram Media, Inc. All rights reserved.