Use of the Radio Shack TRS-80 Model 100 computer for combat modeling

Abstract

The primary purpose of this thesis is to to demonstrate some principles of combat modeling using programs for the Radio Shack TRS-80 Model 100 computer. In addition to the combat modeling, the thesis includes several utility programs for the iMlOO of interest to students of operations analysis. The combat modeling programs include an antisubmarine warfare (ASW) detection simulation, a Kalman filter, and a Lanchester differential equation simulation. The utility programs include a matrix algebra program, a numerical double integration program using Simpson's Rule and the Romberg integration algorithm, and a geometric programming program for zero degree of difficulty problems. The integration program is also written as a subroutine that can be included in other programs. The matrix algebra program includes a simultaneous linear equation solving subroutine which can be used in other programs. All programs are written in M100 BASIC. Documentation includes an explanation of the input required, the output produced, and the components of each program, and sample problems. The chapter on geometric programming includes a tutorial on the mathematical basis for that technique.