Fuzzy chance constrained linear programming model for optimizing the scrap charge in steel production

European Journal of Operational Research

Volumn 186, Issue 3, 2008, Pages 953-964

  Rong, Aiying ^a   Lahdelma, Risto ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b UNIVERSITY OF TURKU   (Finland)

Author keywords

Chance constraint; Fuzzy sets; Linear programming; Scrap charge optimization; Steel production

Indexed keywords

COMPUTER SIMULATION; FUZZY CONTROL; LINEAR PROGRAMMING; SCRAP METAL; UNCERTAINTY ANALYSIS;

CHANCE CONSTRAINT; SCRAP CHARGE OPTIMIZATION; STEEL PRODUCTION;

FUZZY SETS;

EID: 35549011542     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2007.02.017     Document Type: Article

References (26)

1. AFS, 1986. Least cost charge. American Foundrymen's Society Transactions.
2. Banks J., and Carson J.S. Discrete-event System Simulation (1984), Prentice-Hall Inc., Englewood Cliffs, NJ
3. Bliss N.G. Advances in scrap charge optimization. American Foundrymen's Society Transactions 105 (1997) 27-30
4. Canz, T., 1996. Fuzzy linear programming in DSS for energy system planning. Working paper WP-96-132, International Institute for Applied System Analysis, Austria.
5. Dubois D., and Prade H. Systems of linear fuzzy constraints. Fuzzy Sets and Systems 3 (1980) 37-48
6. Dubois D., and Prade H. Ranking of fuzzy numbers in the setting of possibility theory. Information Sciences 30 (1983) 183-224
7. EUROFER (European Confederation of Iron and Steel Industries), 2001. Annual report. http://www.eurofer.org/publications/pdf/2001-AnnualReport.pdf.
8. Ikäheimo, J., 1999. Adaptive raw material optimization system for a steel plant. Masters's thesis. Helsinki University of Technology, Systems Analysis Laboratory, Espoo, Finland.
9. Jiménez M., Arenas M., Bilbao A., and Rodriguez M.V. Linear programming with fuzzy parameters: An interactive method. European Journal of Operational Research 177 (2007) 1599-1609
10. Kall P., and Wallace S.W. Stochastic Programming (1994), John Wiley & Sons, Chichester
11. Kim J., and Lewis R.L. A large scale linear programming application to least cost charging for foundry melting operations. American Foundrymen's Society Transactions (1987) 735-744
12. Kürsad A., and Gökçen H. A chance-constrained approach to stochastic line balancing problem. European Journal of Operational Research 180 (2007) 1098-1115
13. Lahdelma, R., 1998. AMRO - adaptive metallurgical raw material optimization. Technology Programme SULA 2 Energy in Steel and Base Metal Production, Final Report, TEKES, Helsinki, pp. 195-202.
14. Lahdelma, R., Hakonen, H., Ikäheimo, J., 1999. AMRO - adaptive metallurgical raw material optimization, IFORS'99, Beijing, China 16-20 August, 1999.
15. Liu B., and Iwamura K. Chance constrained programming with fuzzy parameters. Fuzzy Sets and Systems 94 (1998) 227-237
16. Rautaruukki, 2001. Steel for future. Sustainability report 2000-2001. http://www.bl.uk/pdf/eis/rautaruukki2001is.pdf.
17. Sandberg, E., 2005. Energy and scrap optimization of electric arc furnace by statistical analysis of process data. Licentiate thesis, Division of Process Metallurgy, Luleå University of Technology, Sweden.
18. Slowinski R. A multi-criteria fuzzy linear programming method for water supply system development planning. Fuzzy Sets and Systems 19 (1986) 217-237
19. Taha H.A. Operations Research (1992), Macmillan, New York
20. Turunen, J., 2000. Raw material optimization for copper foundry. Masters's thesis. Helsinki University of Technology, Systems Analysis Laboratory, Espoo, Finland (In Finnish).
21. Wang C., Wang D., Ip W.H., and Yuen D.W. The single machine ready time scheduling problem with fuzzy processing times. Fuzzy Sets and Systems 127 (2002) 117-129
22. Watanabe T., and Ellis H. A joint chance constrained programming model with row dependence. European Journal of Operational Research 77 (1994) 325-343
23. Werners B. Interactive multiple objective programming subject to flexible constraints. European Journal of Operational Research 31 (1987) 342-349
24. Wilson, E., Kan, M., Mirle, A., 2001. Intelligent technologies for electric arc furnace optimization. ISS Technical paper.
25. Zadeh L.A. Fuzzy sets a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28
26. Zimmermann H.-J. Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1 (1978) 45-55