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Equation 13 · Part 5 · The Logistics Tail: Sustainment as the Binding Constraint on Organised Force

Symbol r

dSdt=T(r)−C,T(rc)=C.\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C .
rr

What this part means

the distance.

Its job in the formula

r is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

Let C be the consumption rate of a force in the field and T(r) the sustained throughput that can be delivered to it at distance r from the last high-capacity transfer point.

The passage around this formula

…is routinely taught as a matter of judgement. It is more usefully written as an identity. Let C be the consumption rate of a force in the field and T(r) the sustained throughput that can be delivered to it at distance r from the last high-capacity transfer point. Stock at the front then evolves as dSdt=T(r)−C,T(rc)=C\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C . Culmination is the radius rcr_c at which delivery equals consumption. Beyond it the force draws down accumulated stock and the clock is set by how much was accumulated, not by the enemy. Every term…

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Learn the underlying idea

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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Sources cited in the article section

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