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    Approximate dynamic programming for an energy-efficient parallel machine scheduling problem

    Access Status
    Fulltext not available
    Embargo Lift Date
    2024-01-01
    Authors
    Heydar, Mojtaba
    Mardaneh, Elham
    Loxton, Ryan
    Date
    2021
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Heydar, M. and Mardaneh, E. and Loxton, R. 2021. Approximate dynamic programming for an energy-efficient parallel machine scheduling problem. European Journal of Operational Research
    Source Title
    European Journal of Operational Research
    DOI
    10.1016/j.ejor.2021.12.041
    ISSN
    0377-2217
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/IC180100030
    URI
    http://hdl.handle.net/20.500.11937/87326
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we propose an approximate dynamic programming approach for an energy-efficient unrelated parallel machine scheduling problem. In this scheduling problem, jobs arrive at the system randomly, and each job’s ready and processing times become available when an order is placed. Therefore, we consider the online version of the problem. Our objective is to minimize a combination of makespan and the total energy costs. The energy costs include cost of energy consumption of machines for switching on, processing, and idleness. We propose a binary program to solve the optimization problem at each stage of the approximate dynamic program. We compare the results of the approximate programming approach against an integer linear programming formulation of the offline version of the scheduling problem and an existing heuristic method suitable for scheduling problem with ready times. The results show that the approximate dynamic programming algorithm outperforms the two off-line methods in terms of solution quality and computational time.

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