Handling soft constraints via composite concave programming

Journal of the Operational Research Society

Volumn 49, Issue 8, 1998, Pages 870-877

  Byrne, A ^a   Sniedovich, M ^a   Churilov, L ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Composite concave programming; Goal programming; Sensitivity analysis; Soft constraints

Indexed keywords

COSTS; DECISION MAKING; LINEAR PROGRAMMING; OPTIMIZATION; QUADRATIC PROGRAMMING; SENSITIVITY ANALYSIS; SET THEORY;

COMPOSITE CONCAVE PROGRAMMING; SOFT CONSTRAINTS;

OPERATIONS RESEARCH;

EID: 0032140747     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2600592     Document Type: Article

References (17)

1. Fourer R, Gay DM and Kemighan BW (1993). AMPL: A Modeling Language for Mathematical Programming. The Scientific Press: San Francisco, pp 269-273.
2. Ignizio JP and Cavalier TM (1994). Linear Programming, Chapter 13. Prentice Hall, Inc.: New Jersey.
3. Kendall JW (1975). Hard and Soft Constraints in Linear Programming. OMEGA 3: 709-715.
4. Schrage L (1991). LINDO: An Optimization Modeling System, 4th edn. The Scientific Press: New York, p 296.
5. De Kluyver CA (1979). An exploration of various goal programming formulations with application to advertising media scheduling. J Opl Res Soc 30: 167-171.
6. Sniedovich M (1988). Fractional programming revisited. EurJ Opns Res 33: 334-341.
7. Sniedovich M (1992). Dynamic Programming. Marcel Dekker: New York.
8. Sniedovich M (1986). C-programming and the minimization of pseudolinear and additive concave functions. Opns Res Let 5: 185-189.
9. Sniedovich M (1994). Algorithmic and computational aspects of composite concave programming. Int Trans Opns Res 1: 75-84.
10. Zeleny M (1974). Linear Programming. Lecture Notes in Economics and Mathematical Programming, (3rd edn, revised). John Wiley and Sons: New York.
11. Steuer RE (1986). Multiple Criteria Optimization: Theory, Computation and Application. John Wiley and Sons: New York.
12. Williams HP (1993). Model Solving in Mathematical Programming. John Wiley and Sons: New York.
13. Van de Panne C (1975). Methods for Linear and Quadratic Programming. North-Holland Publishing Company: Amsterdam.
14. Boot JCG (1964). Quadratic Programming: Algorithms, Anomalies, Applications. North-Holland Publishing Company: Amsterdam.
15. Murty KG (1988). Linear Complementarity, Linear and Nonlinear Programming. Helderman Verlag: Berlin.
16. Sniedovich M, Macalalag E and Findlay S (1993). CCLP(P), ß- Release, User’s Manual. Reprint #33-93, Department of Mathematics, The University of Melbourne, Australia.
17. Liebman J, Lasdon L, Schrage L and Waren A (1986). Modeling and Optimization with GINO. The Scientific Press: San Francisco.