An interactive method of tackling uncertainty in interval multiple objective linear programming

Journal of Mathematical Sciences

Volumn 161, Issue 6, 2009, Pages 854-866

  Oliveira, C ^a   Antunes, C H ^b  

^a INESC COIMBRA   (Portugal)

^b UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350342259     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-009-9606-9     Document Type: Article

References (13)

1. R. Benayoun, J. de Montgolifer, J. Tergny, and O. Larichev, "Linear programming and multiple objective functions: STEP method (STEM)," Math. Programming, 1, No. 3, 366-375 (1971).
2. G. G. Brown and G. W. Graves, Elastic Programming: A New Approach to Large - Scale Mixed Integer Optimization, ORSA TIMS, Las Vegas (1975).
3. J. W. Chinneck and E. W. Dravnieks, "Locating minimal infeasible constraint sets in linear programs," ORSA J. Comput., 3, No. 2, 57-168 (1991).
4. J. W. Chinneck and K. Ramadan, "Linear programming with interval coefficients," J. Oper. Res. Soc., 51, 209-220 (2000).
5. T. Gal, Postoptimal Analysis, Parametric Programming and Related Topics, McGraw-Hill (1979).
6. M. Inuiguchi and Y. Kume, "Goal programming problems with interval coefficients and target intervals," Eur. J. Oper. Res., 52, 345-360 (1991).
7. K. G. Murty, S. N. Kabadi, and R. Chandrasekarn, "Infeasibility analysis for linear systems. A survey," Arabian J. Sci. Eng., 25, (1C), 3-18 (2000).
8. C. Oliveira and C. H. Antunes, "Multiple objective linear programming models with interval coefficients - an illustrated overview," Eur. J. Oper. Res., 181, 1434-1463 (2007).
9. T. Shaocheng, "Interval number and fuzzy number linear programming," Fuzzy Sets Syst., 66, 301-306 (1994).
10. A. Sengupta and K. Pal, "On comparing interval numbers," Eur. J. Oper. Res., 127, 28-43 (2000).
11. B. Urli and R. Nadeau, "An interactive method to multiobjective linear programming problems with interval coefficients," INFOR, 30, No. 2, 127-137 (1992).
12. R. E. Wendell, "Using bounds on the data in linear programming: the tolerance approach to sensitivity analysis. Mathematical Programming," Math. Programming, 29, 304-322 (1984).
13. F. R. Wondolowski, "A generalization of Wendell's tolerance approach to sensitivity analysis in linear programming," Decision Sci., 22, 792-810 (1991).