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Power of Pre-Processing: Production Scheduling with Variable Energy Pricing and Power-Saving States

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00344046" target="_blank" >RIV/68407700:21230/20:00344046 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21730/20:00344046

  • Result on the web

    <a href="https://doi.org/10.1007/s10601-020-09317-y" target="_blank" >https://doi.org/10.1007/s10601-020-09317-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10601-020-09317-y" target="_blank" >10.1007/s10601-020-09317-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Power of Pre-Processing: Production Scheduling with Variable Energy Pricing and Power-Saving States

  • Original language description

    This paper addresses a single machine scheduling problem with non-preemptive jobs to minimize the total electricity cost. Two latest trends in the area of the energy-aware scheduling are considered, namely the variable energy pricing and the power-saving states of a machine. Scheduling of the jobs and the machine states are considered jointly to achieve the highest possible savings. Although this problem has been previously addressed in the literature, the reported results of the state-of-the-art method show that the optimal solutions can be found only for instances with up to 35 jobs and 209 intervals within 3 hours of computation. We propose an elegant pre-processing technique called SPACES for computing the optimal switching of the machine states with respect to the energy costs. The optimal switchings are associated with the shortest paths in an interval-state graph that describes all possible transitions between the machine states in time. This idea allows us to implement efficient integer linear programming and constraint programming models of the problem while preserving the optimality. The efficiency of the models lies in the simplification of the optimal switching representation. The results of the experiments show that our approach outperforms the existing state-of-the-art exact method. On a set of benchmark instances with varying sizes and different state transition graphs, the proposed approach finds the optimal solutions even for the large instances with up to 190 jobs and 1277 intervals within an hour of computation.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/EF16_026%2F0008432" target="_blank" >EF16_026/0008432: Cluster 4.0 - Methodology of System Integration</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    CONSTRAINTS

  • ISSN

    1383-7133

  • e-ISSN

    1572-9354

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    19

  • Pages from-to

    300-318

  • UT code for WoS article

    000590007500001

  • EID of the result in the Scopus database

    2-s2.0-85096046542