A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Cinna Seifi
  • Marco Schulze
  • Jürgen Zimmermann

Externe Organisationen

  • K + S Aktiengesellschaft
  • Technische Universität Clausthal
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)27-42
Seitenumfang16
FachzeitschriftEuropean Journal of Operational Research
Jahrgang292
Ausgabenummer1
Frühes Online-Datum12 Okt. 2020
PublikationsstatusVeröffentlicht - 1 Juli 2021
Extern publiziertJa

Abstract

In this paper, we introduce a mixed-integer linear program for a shift scheduling problem in a German potash mine. In particular, we consider a short-term (work shift) production scheduling problem, where drill-and-blast mining operations have to be assigned to machines and workers simultaneously. Since we deal with several sequence-dependent setup, changeover, and removal times, TSP-variables are used in the mathematical program to determine the processing-sequence of the operations on each worker and each machine, respectively. In addition, several mining-specific requirements are taken into account to obtain a solution that can be put into practice. Computational experiments are conducted on problem instances of realistic size derived from real-world data. The results show that our new mixed-integer linear formulation outperforms both existing solution procedures for the problem at hand.

ASJC Scopus Sachgebiete

Zitieren

A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers. / Seifi, Cinna; Schulze, Marco; Zimmermann, Jürgen.
in: European Journal of Operational Research, Jahrgang 292, Nr. 1, 01.07.2021, S. 27-42.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Seifi C, Schulze M, Zimmermann J. A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers. European Journal of Operational Research. 2021 Jul 1;292(1):27-42. Epub 2020 Okt 12. doi: 10.1016/j.ejor.2020.10.007
Download
@article{d365bece9daa4306b8f214dcf85474e8,
title = "A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers",
abstract = "In this paper, we introduce a mixed-integer linear program for a shift scheduling problem in a German potash mine. In particular, we consider a short-term (work shift) production scheduling problem, where drill-and-blast mining operations have to be assigned to machines and workers simultaneously. Since we deal with several sequence-dependent setup, changeover, and removal times, TSP-variables are used in the mathematical program to determine the processing-sequence of the operations on each worker and each machine, respectively. In addition, several mining-specific requirements are taken into account to obtain a solution that can be put into practice. Computational experiments are conducted on problem instances of realistic size derived from real-world data. The results show that our new mixed-integer linear formulation outperforms both existing solution procedures for the problem at hand.",
keywords = "Mixed-integer linear programming, Scheduling, Sequence-dependent setup times, Shift scheduling, Underground mining",
author = "Cinna Seifi and Marco Schulze and J{\"u}rgen Zimmermann",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",
year = "2021",
month = jul,
day = "1",
doi = "10.1016/j.ejor.2020.10.007",
language = "English",
volume = "292",
pages = "27--42",
journal = "European Journal of Operational Research",
issn = "0377-2217",
publisher = "Elsevier",
number = "1",

}

Download

TY - JOUR

T1 - A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers

AU - Seifi, Cinna

AU - Schulze, Marco

AU - Zimmermann, Jürgen

N1 - Publisher Copyright: © 2020 Elsevier B.V.

PY - 2021/7/1

Y1 - 2021/7/1

N2 - In this paper, we introduce a mixed-integer linear program for a shift scheduling problem in a German potash mine. In particular, we consider a short-term (work shift) production scheduling problem, where drill-and-blast mining operations have to be assigned to machines and workers simultaneously. Since we deal with several sequence-dependent setup, changeover, and removal times, TSP-variables are used in the mathematical program to determine the processing-sequence of the operations on each worker and each machine, respectively. In addition, several mining-specific requirements are taken into account to obtain a solution that can be put into practice. Computational experiments are conducted on problem instances of realistic size derived from real-world data. The results show that our new mixed-integer linear formulation outperforms both existing solution procedures for the problem at hand.

AB - In this paper, we introduce a mixed-integer linear program for a shift scheduling problem in a German potash mine. In particular, we consider a short-term (work shift) production scheduling problem, where drill-and-blast mining operations have to be assigned to machines and workers simultaneously. Since we deal with several sequence-dependent setup, changeover, and removal times, TSP-variables are used in the mathematical program to determine the processing-sequence of the operations on each worker and each machine, respectively. In addition, several mining-specific requirements are taken into account to obtain a solution that can be put into practice. Computational experiments are conducted on problem instances of realistic size derived from real-world data. The results show that our new mixed-integer linear formulation outperforms both existing solution procedures for the problem at hand.

KW - Mixed-integer linear programming

KW - Scheduling

KW - Sequence-dependent setup times

KW - Shift scheduling

KW - Underground mining

UR - http://www.scopus.com/inward/record.url?scp=85095601018&partnerID=8YFLogxK

U2 - 10.1016/j.ejor.2020.10.007

DO - 10.1016/j.ejor.2020.10.007

M3 - Article

VL - 292

SP - 27

EP - 42

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

IS - 1

ER -