Subject: Applied Multi-Objective Programming	Code: MO051	

Semester	 Hours: C+S+L	Type	 Section	
8	2+2+0	optional	Computer Science	

Teaching Staff in Charge	Prof. LUPSA Liana, Ph.D., llupsa@math.ubbcluj.ro	
Aims	Getting to know the main notions and results about multicriterial programming problems and some methods for solving them. Applications	
Content	1. Examples of multicriteria programming problems.
2. Approaches to the multicriteria programming problem: theoretical and computational aspects.
3. Particular classes of vectorial programming problems: transportation problems with several objectives, pseudoboolean programming problems with several objectives, dynamic programming problems with several objectives, multicriteria programming problems with inexact input date	
Selective References	1. ANDRASIU M., BACIU A., PASCU A., PUSCAS E., TASNADI AL., Metode de decizii multicrietriale. Bucuresti: Ed. Tehnica 1986.
2. BACIU A., PASCU A., PUSCAS E., Aplicatii ale cercetarii operationale. Bucureti, Ed. Militara, 1988.
3. LUPSA L., DUCA E., DUCA D.I., On the structure of the set of points dominated and nondominated in an optimization problem. Revue d'Anal. num et la theorie de l'approximation. 22(2), 193-199,1983.
4. Lupsa L., Numerical Optimization Methods. Special issue in discrete optimization. Cluj-Napoca: Ed. Risoprint, 2005.
5. Miettien Kaisa, Nonlinear multiobjective optimization. Dordrecht - Boston - London: Kluwer Academic Publishers, 1998.
6. ROY B., Multicriteria Methodology for Decision Aiding. Dordrecht: Kluwer Academic Publishers, 1996.
7. PO-LUNG YU: Multiple-Criteria Decision Making. Concepts, Techniques, and Extensions. New York and London: Plenium Press, 1989.
8. Popovici N., Optimizare vectoriala. Cluj-Napoca: Casa Cartii de Stiinta, 2005.
9. Stancu Minasian I.M., Tigan St., Multiobjective mathematical programming with inexact data. in Stochastic versus Fuzzy Approahes to Multiobjective Mathematical Programming under Uncertainty, Kuwer Academic Publishers, 1990.
10. Tigan St., Achimas A., Coman I., Drugan T., Iacob M., Decizii multifactoriale. Cluj-Napoca: Ed. SRIMA, 2001	
Assessment	Project