A polynomial-time scheduling approach to minimise idle energy consumption: An application to an industrial furnace

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F21%3A00536752" target="_blank" >RIV/67985556:_____/21:00536752 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/21:00344724 RIV/68407700:21730/21:00344724

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0305054820302847?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0305054820302847?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cor.2020.105167" target="_blank" >10.1016/j.cor.2020.105167</a>

Result language

angličtina

Original language name

A polynomial-time scheduling approach to minimise idle energy consumption: An application to an industrial furnace

Original language description

This article presents a novel scheduling approach to minimise the energy consumption of a machine during its idle periods. In the scheduling domain, it is common to model the behaviour of the machine by defining a small set of machine modes, e.g. ‘‘on”, ‘‘off” and ‘‘stand-by”. Then the transitions between the modes are represented by a static transition graph. In this paper, we argue that this type of model might be too restrictive for some types of machines (e.g. the furnaces). For such machines, we propose to employ the complete time-domain dynamics and integrate it into an idle energy function. This way, the scheduling algorithm can exploit the full knowledge about the machine dynamics with minimised energy consumption encapsulated in this function. In this paper, we study a scheduling problem, where the tasks characterised by release times and deadlines are scheduled in the given order such that the idle energy consumption of the machine is minimised. We show that this problem can be solved in polynomial time whenever the idle energy function is concave. To highlight the practical applicability, we analyse a heat-intensive system employing a steel-hardening furnace. We derive an energy optimal control law, and the corresponding idle energy function, for the bilinear system model approximating the dynamics of the furnace (and possibly other heat-intensive systems). Further, we prove that the idle energy function is, indeed, concave in this case. Therefore, the proposed scheduling algorithm can be used. Numerical experiments show that by using our approach, combining both the optimal control and optimal scheduling, higher energy savings can be achieved, compared to the state-of-the-art scheduling approaches.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20204 - Robotics and automatic control

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Name of the periodical

Computers & Operations Research

ISSN

0305-0548

e-ISSN

1873-765X

Volume of the periodical

128

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

15

Pages from-to

105167

UT code for WoS article

000632975100001

EID of the result in the Scopus database

2-s2.0-85098205812