Military Planning, Shepard and Associates (1988). The Red Army (R) is trying to invade the territory defended by the Blue Army (B). Blue has three defense lines and 200 regular combat units and can draw also on a reserve pool of 200 units. Red plans to attack on two fronts, north and south, and Blue has set up three east–west defense lines, I, II, and III. The purpose of defense lines 1 and 2 is to delay the Red Army attack by at least 4 days in each line and to maximize the total duration of the battle. The advance time of the Red Army is estimated by the following empirical formula:

The constants a and b are a function of the defense line and the north/south front as the following table shows:

The Blue Army reserve units can be used in defense lines II and III only. The allocation of units by the Red Army to the three defense lines is given in the following table:

How should Blue allocate its resources among the three defense lines and the north/ south fronts?

Transcribed Image Text:

Battle duration in days = a + b (Blue units) Red units