Accession Number:

ADA231199

Title:

The Many-on-Many General Renewal Lanchester Combat Model

Descriptive Note:

Final rept. 15 Feb 1986-31 Oct 1990

Corporate Author:

UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING

Personal Author(s):

Report Date:

1990-12-12

Pagination or Media Count:

19.0

Abstract:

The principal motivation for this work is the development of more realistic small-to-moderate size firefight models than the extant deterministic and exponential Lanchester square law models. It is important to note here that what we call exponential model has been called stochastic Lanchester in the literature to date. We believe substituting the adjective exponential for stochastic is a more accurate description because the classical stochastic Lanchester model merely assumes that the interkilling time is an exponential random variable. On the other hand, the models we define allow an arbitrary interkilling time random variable. Obviously the deterministic and exponential Lanchester models are greatly simplified descriptions of the firefight. Common sense and field experiments dictate that 1 the real firefight is stochastic, and 2 the exponential assumption is a gross simplification of the actual interkilling time and is only used because its no memory property greatly simplifies the analysis. Both the deterministic and exponential lanchester models have been studied in great detail.

Subject Categories:

  • Statistics and Probability
  • Military Operations, Strategy and Tactics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE