A multi-objective programming approach to 1.5-dimensional assortment problem

European Journal of Operational Research

Volumn 179, Issue 1, 2007, Pages 64-79

  Gasimov, Rafail N ^a   Sipahioglu, Aydin ^a   Saraç, Tugba ^a  

^a ESKISEHIR OSMANGAZI UNIVERSITY   (Turkey)

Author keywords

1.5 dimensional assortment problem; Conic scalarization; Cutting; Mixed integer linear programming; Multi objective programming; Weighted sum scalarization

Indexed keywords

COMPUTER SIMULATION; CUTTING; LINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

1.5-DIMENSIONAL ASSORTMENT PROBLEM; CONIC SCALARIZATION; MIXED INTEGER LINEAR PROGRAMMING; MULTI-OBJECTIVE PROGRAMMING; WEIGHTED SUM SCALARIZATION;

INTEGER PROGRAMMING;

EID: 33751345635     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.03.016     Document Type: Article

References (16)

1. Beasley J.E. A population heuristic for constrained two-dimensional non-guillotine cutting. European Journal of Operational Research 156 (2004) 601-627
2. Brooke, A., Kendrick, D., Meeraus, A., Raman R., 1998. GAMS A User's Guide. GAMS Development Corporation. Downloadable from website: .
3. Chankong V., and Haimes Y.Y. Multiobjective Decision Making: Theory and Methodology (1983), Elsevier Science Publishing, New York
4. Chauny F., Loulou R., Sadones S., and Soumis F. A two-phase heuristic for strip packing: Algorithm and probabilistic analysis. Operational Research Letters 6 1 (1987) 25-33
5. Cloud F.H. Analysis of corrugator side trim. Tappi Journal 77 4 (1994) 199-205
6. Dyckhoff H. A typology of cutting and packing problems. European Journal of Operational Research 44 (1990) 145-159
7. Ehrgott M. Multicriteria Optimization. second ed. (2005), Springer-Verlag
8. Gasimov R.N. Characterization of the Benson proper efficiency and scalarization in nonconvex vector optimization. In: Koksalan M., and Zionts S. (Eds). Multiple Criteria Decision Making in the New Millennium. Lecture Notes in Economics and Mathematical Systems (2001), Springer-Verlag, Berlin, Heidelberg 189-198
9. Geoffrion A. Porper efficiency and the theory of vector maximization. Journal of Mathematical Analysis and Applications 22 (1968) 618-630
10. Holthaus O. On the best number of different standard lengths to stock for one dimensional assortment problems. International Journal of Production Economics 83 (2003) 233-246
11. Luc D.T. Theory of Vector Optimization. Lecture Notes in Economics and Mathematical Systems (1989), Springer Verlag, Berlin
12. Özdemir M.S., and Gasimov R.N. The analytic hierarchy process and multiobjective 0-1 faculty course assignment. European Journal of Operational Research 157 2 (2004) 398-408
13. Saraç T., and Özdemir M.S. A genetic algorithm for 1.5 dimensional assortment problems with multiple objectives. Lecture Notes in Artificial Intelligence 2718 (2003) 41-51
14. Savsar M., and Cogun C. Analysis and modeling of a production line in a corrugated box factory. International Journal of Production Research 32 7 (1994) 1571-1589
15. Sweeney P.E., and Paternoster E.R. Cutting and packing problems: A categorized, application-oriented research bibliography. Journal of Operational Research Society 43 7 (1992) 691-706
16. Wäscher, G., Haußner, H., Schumann, H., 2005. An improved typology of cutting and packing problems. Working Paper No. 24, Last Revision: 2005-05-17, Otto von Guericke University, 38 p. Available from: .