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ordered-window-sequencing-mip

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Permutation and sequencing integer-programming formulations with ordered local-window variables, prefix/suffix continuity, and overlap penalties. Use when assigning exams, jobs, tasks, visits, blocks, or resources to ordered positions and costs depend on adjacent pairs, sliding triples, n-grams, short-horizon pressure, or overlapping local patterns.

tasks/exam-block-sequencing/environment/skills/ordered-window-sequencing-mip/SKILL.md

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# Ordered-Window Sequencing MIPs

## Core idea

When a sequencing objective depends on neighboring ordered patterns, a plain
item-position assignment model may be too weak or too easy to linearize
incorrectly. Model the local ordered patterns that the objective scores, then
link those patterns so they form one consistent sequence.

Use this pattern for schedules, routes, job orders, block sequences, timetables,
shift plans, and other ordered assignments where costs depend on adjacent pairs,
sliding windows, or overlapping local events.

## Modeling workflow
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