Aggregation, Disaggregation, and the 3:1 Rules in Ground Combat
This report illustrates a number of basic principles about aggregation and disaggregation in combat modeling by working through the mathematics and phenomenology of a concrete example. In the example, simplified ground combat takes place in a number of sectors and subsectors within a theater. The author assumes that combat at some level of detail is dictated by the Lanchester square law then discusses whether an aggregate law, Lanchester or otherwise, applies at the next level up (that is, one with more aggregation and less detail). The answer depends on the ratios of several time scales related to information, decisions, maneuver, and the duration of a breakthrough battle. The author also discusses how the 3:1 rule does and does not apply at different levels of combat.
Download eBook for Free
| Format | File Size | Notes |
|---|---|---|
| PDF file | 1.7 MB | Use Adobe Acrobat Reader version 7.0 or higher for the best experience. |
-
Download Individual Chapters Below
Note: Many electronic documents posted prior to 2003 are available as chapter PDFs or HTML files linked from the Contents.
Document Details
- Copyright: RAND Corporation
- Availability: Available
- Print Format: Paperback
- Paperback Pages: 46
- List Price: $23.00
- Paperback Price: $18.40
- Document Number: MR-638-AF/A/OSD
- Year: 1995
- Series: Monograph Reports
Contents
Preface HTML
Figures
Figures and Tables HTML
Summary HTML
Chapter One
Introduction HTML
Chapter Two
The Microscopic Model: The Lanchester Square Law on Combat Sectors HTML
Chapter Three
Deriving Aggregate Models for Cases Without Reinforcement or Redeployment of Forces HTML
Chapter Four
Generalizing: Effects on Aggregation of Reinforcement and Maneuver HTML
Chapter Five
Implications for Temporary Disaggregation in Simulations, Including Distributed Interactive Simulation HTML
Chapter Six
Conclusions and Summary HTML
Appendix
Lanchester Equations and Scoring Systems HTML
Bibliography HTML
This report is part of the RAND Corporation monograph report series. The monograph/report was a product of the RAND Corporation from 1993 to 2003. RAND monograph/reports presented major research findings that addressed the challenges facing the public and private sectors. They included executive summaries, technical documentation, and synthesis pieces.
Permission is given to duplicate this electronic document for personal use only, as long as it is unaltered and complete. Copies may not be duplicated for commercial purposes. Unauthorized posting of RAND PDFs to a non-RAND Web site is prohibited. RAND PDFs are protected under copyright law. For information on reprint and linking permissions, please visit the RAND Permissions page.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.




