Skip to main content
Top

2020 | OriginalPaper | Chapter

D.C. Constrained Optimization Approach for Solving Metal Recovery Processing Problem

Authors : Rentsen Enkhbat, Tatiana V. Gruzdeva, Jamsranjav Enkhbayr

Published in: Mathematical Optimization Theory and Operations Research

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper was motivated by an industrial optimization problem arisen at the Erdenet Mining Corporation (Mongolia). The problem involved real industrial data turned out to be a quadratically constrained quadratic programming problem, which we solve by applying the global search theory for general DC programming. According to the theory, first, we obtain an explicit DC representation of the nonconvex functions involved in the problem. Second, we perform a local search that takes into account the structure of the problem in question. Further, we construct procedures for escaping critical points provided by the local search method. In particular, we propose a new way of constructing an approximation of the level set based on conjugated vectors. The computational simulation demonstrates that the proposed method is a quite flexible tool which can fast provide operations staff with good solutions to achieve the best performance according to specific requirements.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
5.
go back to reference Enkhbat, R., Gruzdeva, T.V., Barkova, M.V.: D.C. programming approach for solving an applied ore-processing problem. J. Ind. Manag. Optim. 14(2), 613–623 (2018)MathSciNetMATH Enkhbat, R., Gruzdeva, T.V., Barkova, M.V.: D.C. programming approach for solving an applied ore-processing problem. J. Ind. Manag. Optim. 14(2), 613–623 (2018)MathSciNetMATH
6.
go back to reference Fedorov, V.V.: Theory of Optimal Experiments. Academic Press, New-York (1972) Fedorov, V.V.: Theory of Optimal Experiments. Academic Press, New-York (1972)
10.
go back to reference Horst, R., Pardalos, P., Thoai, N.V.: Introduction to Global Optimization. Kluwer Academic Publishers, Dordrecht (1995)MATH Horst, R., Pardalos, P., Thoai, N.V.: Introduction to Global Optimization. Kluwer Academic Publishers, Dordrecht (1995)MATH
11.
go back to reference Horst, R., Pardalos, P.M.: Handbook of Global Optimization. Kluwer Academic, Dordrecht (1995)CrossRef Horst, R., Pardalos, P.M.: Handbook of Global Optimization. Kluwer Academic, Dordrecht (1995)CrossRef
14.
go back to reference Pardalos, P.M., Schnitger, J.: Checking local optimality in constrained quadratic programming is NP-hard. Oper. Res. Lett. 7, 33–35 (1988)MathSciNetCrossRef Pardalos, P.M., Schnitger, J.: Checking local optimality in constrained quadratic programming is NP-hard. Oper. Res. Lett. 7, 33–35 (1988)MathSciNetCrossRef
16.
go back to reference Strekalovsky, A.S.: On local search in d.c. optimization problems. Appl. Math. Comput. 255, 73–83 (2015)MathSciNetMATH Strekalovsky, A.S.: On local search in d.c. optimization problems. Appl. Math. Comput. 255, 73–83 (2015)MathSciNetMATH
18.
go back to reference Strekalovsky, A.S.: Elements of Nonconvex Optimization. Nauka, Novosibirsk (2003). (in Russian) Strekalovsky, A.S.: Elements of Nonconvex Optimization. Nauka, Novosibirsk (2003). (in Russian)
Metadata
Title
D.C. Constrained Optimization Approach for Solving Metal Recovery Processing Problem
Authors
Rentsen Enkhbat
Tatiana V. Gruzdeva
Jamsranjav Enkhbayr
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-49988-4_7

Premium Partner