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International Transactions in Operational Research
Article . 2017 . Peer-reviewed
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Article . 2017
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Article . 2022
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A biased random‐key genetic algorithm for scheduling heterogeneous multi‐round systems

A biased random-key genetic algorithm for scheduling heterogeneous multi-round systems
Authors: Julliany S. Brandão; Thiago F. Noronha; Mauricio G. C. Resende; Celso C. Ribeiro;

A biased random‐key genetic algorithm for scheduling heterogeneous multi‐round systems

Abstract

AbstractA divisible load is an amount W of computational work that can be arbitrarily divided into independent chunks of load. In many divisible load applications, the load can be parallelized in a master–worker fashion, where the master distributes the load among a set P of worker processors to be processed in parallel. The master can only send load to one worker at a time, and the transmission can be done in a single round or in multiple rounds. The multi‐round divisible load scheduling problem consists in (a) selecting the subset of workers that will process the load, (b) defining the order in which load will be transmitted to each of them, (c) defining the number m of transmission rounds that will be used, and (d) deciding the amount of load that will be transmitted to each worker at each round , so as to minimize the makespan. We propose a heuristic approach that determines the transmission order, the set of the active processors and the number of rounds by a biased random‐key genetic algorithm. The amount of load transmitted to each worker is computed in polynomial time by closed‐form formulas. Computational results showed that the proposed genetic algorithm outperformed a closed‐form state‐of‐the‐art heuristic, obtaining makespans that are 11.68% smaller on average for a set of benchmark problems.

Keywords

multi-round, metaheuristics, divisible loads, Deterministic scheduling theory in operations research, biased random-key genetic algorithms, divisible load scheduling, Approximation methods and heuristics in mathematical programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
32
Top 10%
Top 10%
Top 10%
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