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Equation 7 · Part 5 · The Logistics Tail: Sustainment as the Binding Constraint on Organised Force

Symbol v

P(r)=L0−2rfv,rmax⁡=v L02f.P(r) = L_0 - \frac{2rf}{v}, \qquad r_{\max} = \frac{v\,L_0}{2f}.
vv

What this part means

v appears in the objective or constraint used by the optimization on the right.

Its job in the formula

v appears in the objective or constraint used by the optimization on the right.

The passage around this formula

…model, offered to expose an assumption rather than to reproduce any historical campaign. A transport team departs a base carrying load L0L_0 , consumes f units of that same load per day for its own animals, and covers v units of distance per day. To reach a force at radius r and return, it is on the road for 2r/v days, so the load it can actually hand over is P(r)=L0−2rfv,rmax⁡=v L02fP(r) = L_0 - \frac{2rf}{v}, \qquad r_{\max} = \frac{v\,L_0}{2f}. Beyond rmax⁡r_{\max} the convoy arrives having eaten everything it set out with. Adding a second convoy to supply the first does not defeat…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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