Identification of redundant objective functions in multi-objective stochastic fractional programming problems

Asia-Pacific Journal of Operational Research

Volumn 23, Issue 2, 2006, Pages 155-170

  Charles, V ^a   Dutta, D ^b  

^a SDM Institute for Management Development   (India)

^b NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Fractional programming; Multi objective programming; Redundancy; Stochastic programming

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; IDENTIFICATION (CONTROL SYSTEMS); LINEAR PROGRAMMING; MATHEMATICAL MODELS; PROBLEM SOLVING; REDUNDANCY;

FRACTIONAL PROGRAMMING; MULTI-OBJECTIVE PROGRAMMING; NON-LINEAR PROGRAMMING; VARIABLES;

STOCHASTIC PROGRAMMING;

EID: 33746059770     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217595906000863     Document Type: Article

References (36)

1. Arora, SR and R Gupta (2003). A hybrid fuzzy-goal programming approach to multiple objective linear fractional programming problems. Opsearch, 40(3), 202-218.
2. Arora, SR, R Shanker and N Malhotra (2005). A goal programming approach to solve linear fractional multiobjective set covering problem. Opsearch, 42(2), 112-125.
3. Bajalinov, EB (2003). Linear-Fractional Programming: Theory, Methods, Applications and Software. Netherlands: Kluwer Academic Publishers.
4. Bector, CR, M Singh and A Gill (1993). Duality for vector valued B-vex programming. Asia-Pacific Journal of Operational Research, 10(1), 15-30.
5. Bector, CR, S Chandra and MV Durgaprasad (1988). Duality in pseudolinear multiobjective programming. Asia-Pacific Journal of Operational Research, 5(2), 134-139.
6. Caballero, R, E Cerdá, MM Muñoz, L Rey and IM Stancu-Minasian (2001). Efficient solution concepts and their relations in stochastic multi-objective programming. Journal of Optimization Theory and Applications, 110(1), 53-74.
7. Charles, V, D Dutta and K Appal Raju (2001). Linear stochastic fractional programming problem. In: International Conference on Mathematical Modelling, B Singh, US Gupta, GS Srivastava, TR Gulati and VK Katiyar (eds.), New Delhi: Tata McGraw-Hill.
8. Charles, V and D Dutta (2001). Linear stochastic fractional programming with branch-and-bound technique. In: National Conference on Mathematical and Computational Models, R Nadarajan and PR Kandasamy (eds.), Chennai: Allied Publishers.
9. Charles, V and D Dutta (2003). Bi-weighted multi-objective stochastic fractional programming problem with mixed constraints. In: Second National Conference on Mathematical and Computational Models, R Nadarajan and G Arulmozhi, (eds.) Chennai: Allied Publishers.
10. Charnes, A and WW Cooper (1954). Chance Constrained Programming, Management Science 6.
11. Charnes, A and WW Cooper (1961). Management Models and Industrial Applications of Linear Programming I and II. Wiley: New York.
12. Charnes, A and WW Cooper (1962). Programming with linear fractional functions, Naval Research Logistic Quarterly, 9, 181-186.
13. Cheney, EW and AA Goldstein (1959). Newton's method of convex programming and Tchebycheff approximation. Numerische Methematik, 1, 253-268.
14. Dantzig, GB (1963). Linear Programming and Extensions. Princeton: Princeton University Press.
15. Dutta, D, JR Rao and RN Tiwari (1993). A restricted class of multi-objective linear fractional programming problems. European Journal of Operational Research, 68, 352-355.
16. Gal, T (1975). A note on redundancy and linear parametric programming. Operational Research Quarterly, 26(4), 735-742.
17. Gal, T and H Laberling (1977). Redundant objective functions in linear vector maximum problems and their determination. European Journal of Operational Research, 1, 176-184.
18. Gulati, TR and N Talaat (1991). Duality in nonconvex multiobjective programming. AsiaPacific Journal of Operational Research, 8(1), 62-69.
19. Gulati, TR and Izhar Ahmad (1998). Multiobjective Duality Using Fritz John Conditions, Asia-Pacific Journal of Operational Research, 15(1), 63-74.
20. Stancu-Minasian, I and MJ Wets (1976). A research bibliography in stochastic programming 1955-1975. CORE Discussion Papers 7603 University Catholique de Louvain, Belgium.
21. Stancu-Minasian, I (1977). Bibliography of Fractional Programming 1960-1976. Preprint number 3, Department of Economic Cybernetics, ASE, Bucharest.
22. Stancu-Minasian, I and St Tigan (1987). The stochastic linear-fractional max-min problem. University Babes-Bolyai, Cluj-Napoca, Research Seminars, Preprint number 5, 275-280.
23. Jeeva, M, R Rajalakshmi and V Charles (2002). Stochastic programming in manpower planning -cluster based optimum allocation of recruitments. In Advances in Stochastic Modelling, JR Artalejo and A Krishnamoorthy (eds.), New Jersey USA: Notable Publications, Inc.
24. Jeeva, M, R Rajalakshmi, V Charles and VSS Yadavalli (2004). An application of stochastic programming with Weibull distribution - cluster-based optimum allocation of recruitments in manpower planning. Journal of Stochastic Analysis and Applications, 22(3), 801-812.
25. Kelly, JE (1960). The cutting plane for solving convex programs. Journal of SIAM - VIII, 4, 703-712.
26. Lalitha, CS, SK Suneja and S Khurana (2003). Symmetric duality involving invexity in multiobjective fractional programming. Asia-Pacific Journal of Operational Research, 20(1), 57-72.
27. Lalitha, CS, PK Garg and S Khurana (2005). Duality for multiobjective fractional programming via linearization and scalarization approaches. Opsearch, 42(1), 37-54.
28. Karwan, MH, V Lotfi, J Telgen and S Zionts (1983). Lecture Notes in Economics and Mathematical Systems. Berlin, Heidelberg, New York, Tokyo: Springer-Verlag.
29. Nembou, CS and BA Murtagh (1996). A chance-constrained programming approach to modeling hydro-thermal electricity generation in Papua-New Guinea, Asia-Pacific Journal of Operational Research, 13(2), 105-114.
30. Baba, N and A Morimoto (1993). Stochastic approximation methods for solving the stochastic multi-objective programming problem. International Journal of Systems Science, 24(4), 789-796.
31. Nykowski, I and Z Zolkiewski (1985). A compromised procedure for the multiple objective linear fractional programming problem. European Journal of Operational Research, 19, 91-97.
32. Rao, SS ( 2000). Engineering Optimization Theory and Practice, 3rd ed. New Delhi: New Age.
33. Rhymend Uthariaraj, V, TR Natesan and V Sankaranarayanan (1999). Algorithms for identification of redundancies in linear programming problems, In The 19th IFIP Int Conf on Systems Modelling and Optimization, Cambridge, London.
34. Weir, T, B Mond and RR Egudo (1992). Duality without constraint qualification for multiobjective fractional programming. Asia-Pacific Journal of Operational Research, 9(2), 195-206.
35. Chen, TF (2005). Fractional programming approach to two stochastic inventory problems. European Journal of Operational Research, 160(1), 63-71.
36. Zionts, S and J Wallenius (1976). An interactive programming methods for solving the multiple criteria problem. Management Science, 22(6), 652-663.