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12.08.2020 | Ausgabe 4/2020 Open Access

Journal of Combinatorial Optimization 4/2020

A characterization of optimal multiprocessor schedules and new dominance rules

Zeitschrift:
Journal of Combinatorial Optimization > Ausgabe 4/2020
Autoren:
Rico Walter, Alexander Lawrinenko
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Abstract

The paper on hand approaches the classical makespan minimization problem on identical parallel machines from a rather theoretical point of view. Using an approach similar to the idea behind inverse optimization, we identify a general structural pattern of optimal multiprocessor schedules. We also show how to derive new dominance rules from the characteristics of optimal solutions. Results of our computational study attest to the efficacy of the new rules. They are particularly useful in limiting the search space when each machine processes only a few jobs on average.
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