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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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