PROBE I: A Differential Equation Model for Comparing Fighter Escort and Airbase Attack Systems in a Counter-Air Operation.

by Freeman A. Tatum, Louis N. Rowell


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback130 pages $30.00 $24.00 20% Web Discount

PROBE I models an attack air force vs. an interceptor defense in a conflict extending over as many as thirty missions. For any mission, the attack sorties may be allocated to any combination of (1) aircraft with bombs only, assigned to prime targets, (2) similar aircraft targeting hostile interceptor bases, or (3) aircraft with only air-combat weapons that defend the bombers. The model shows the results of one or a series of missions in which the experimenter specifies the allocations; alternatively, it can determine, mission-by-mission, the allocations that (with the total number of missions specified) will maximize a given objective, such as "total bomb tonnage reaching prime targets." The heart of the model is a set of differential equations that represent the rates at which aircraft change from one state to another, e.g., loaded to unloaded--engaged to disengaged, etc. PROBE I is programmed for the IBM 370/158. 130 pp.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit

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.