Campbell-Dudek-Smith Algorithm
Updated 2026-08-10
INTRODUCTION
English translation pending.
CORE DEFINITION
CDS, the Campbell-Dudek-Smith algorithm, extends Johnson's algorithm and is regarded as a robust heuristic for solving the n-job, m-machine flow shop scheduling problem. The procedure first groups the m machines into pairs, producing a set of m-1 two-machine problems. It then applies Johnson's algorithm to obtain m-1 processing sequences. The sequence with the best performance measure, generally the shortest makespan, is selected as the near-optimal schedule. The method reduces a complex multi-machine scheduling problem to several simpler two-machine subproblems, trading exactness for practical tractability.
SCAFFOLDING EFFECT
Reduce cognitive load
- Reduce dimensionality: turn one difficult m-machine scheduling problem into several manageable two-machine subproblems. - Reuse Johnson's rule: apply a proven and simpler solver to each of the generated subproblems. - Keep the best candidate: compare all resulting makespans and select the strongest sequence found.
Anchor fast decisions
Built on dimension reduction plus Johnson's rule. The m-machine problem is decomposed into m-1 two-machine subproblems, each solved by Johnson's algorithm, and the sequence with the shortest makespan is adopted as the near-optimal answer.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Flow-shop_schedulingverified
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