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Graham: why a greedy schedule can slow down after apparent improvements

Contribution grade

Algorithms and scheduling · Algorithms and scheduling

Reference score130,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Graham bounded how much a fixed-list schedule can worsen when task priorities, durations, precedence constraints or the number of identical processors are changed.

Scientific scope

Graham bounded how much a fixed-list schedule can worsen when task priorities, durations, precedence constraints or the number of identical processors are changed. The scheduling results use the paper’s machine, dependency and task-duration model. They bound specified list-scheduling behavior and illustrate anomalies; they do not establish that adding resources always worsens performance or solve every scheduling objective optimally. Changes in precedence, communication cost and processor heterogeneity need separate analysis.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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