Finding a weights-restricted efficient (extreme) point and using it for solving MOLP problems

Applied Mathematics and Computation

Volumn 150, Issue 1, 2004, Pages 203-211

  Jahanshahloo, G R ^a   Foroughi, A A ^a  

^a KHARAZMI UNIVERSITY   (Iran)

Author keywords

Efficiency; Linear programming; Multi objective; Weights restrictions

Indexed keywords

ESTIMATION; ITERATIVE METHODS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; VECTORS;

MULTI-OBJECTIVES; OPTIMAL SOLUTIONS; WEIGHTS RESTRICTION;

LINEAR PROGRAMMING;

EID: 0942288445     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00210-8     Document Type: Article

References (10)

1. Hwang C.L., Masud A. Multiple Objective Decision Making - Methods and Applications. Lecture notes in Economics and Mathematical Systems 164. 1979;Springer-Verlag, Berlin.
2. Evans G.W. An overview of techniques for solving multiobjective mathematical programs. Mngt. Sci. 30:1984;1268-1282.
3. Steuer R.E. Multiple Criteria Optimization: Theory, Computation, and Application. 1986;John Wiley & Sons, New York.
4. Steuer R.E. Multiple objective linear programming with interval criterion weights. Mngt. Sci. 23:1976;305-316.
5. Bazaraa M.S., Jarvis J.J., Sherali H.D. Linear programming and network flows. 1990;John Wiley & Sons, New York.
6. Benson H.P. Finding an initial efficient extreme point for a linear multiple objcetive program. J. Opl. Res. Soc. 32:1981;495-498.
7. Ecker J.G., Kouada I.A. Finding efficient points for linear multiple objective programs. Math. Programming. 8(3):1975;375-377.
8. Ecker J.G., Hegner N.S. On computing an initial efficient extreme point. J. Opl. Res. Soc. 29(10):1978;1005-1007.
9. Zionts S., Wallenius J. An interactive programming method for solving the multiple criteria problem. Mngt. Sci. 22(6):1976;652-663.
10. Zionts S., Wallenius J. An interactive multiple objective linear programming method for a class of underlying nonlinear utility functions. Mngt. Sci. 29(5):1983;519-529.