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Equation 8 · Part 2 · The Logistics Tail: Sustainment as the Binding Constraint on Organised Force

subscript

rmax⁡r_{\max}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

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 the limit; it recurses, and the tonnage required grows far faster than the tonnage delivered. This is why the practical answer for two millennia was not better convoys but a different mechanism entirely: draw supplies locally, move along navigable water, or stop.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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