value · value(i, j)

Read the equation

This relation defines value(i, j) in the source section “value · value(i, j)”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read value(i, j) as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

package staffing

import "github.com/shopspring/decimal"

// The portfolio optimizer maximizes total assignment value. The value of assigning a candidate to a
// requirement is a stated function of the frozen engine fit and the requirement priority:
//
//	value(i, j) = engineTotal(i, j) * priorityMultiplier(j)
//
// where engineTotal is the deterministic 0 to 100 score and priorityMultiplier maps the requirement's
// backing opportunity dollar value into a bounded multiplier. The value is then scaled to an int64 so the
// minimum cost flow solve is integer exact and FIPS clean (no float in the objective). Scoring stays
// decimal in the engine; only this objective is an integer, and it is allocation, not scoring.

// PriorityMultiplier maps an opportunity dollar value to a bounded multiplier in [minM, maxM]:
//
//	minM + clamp(value / reference, 0, maxM - minM)
//

value(i, j) = engineTotal(i, j) * priorityMultiplier(j)

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