The interval linear programming: A revisit

Journal of Environmental Informatics

Volumn 11, Issue 1, 2008, Pages 1-10

  Zhou, F ^a   Guo, H C ^a   Chen, G X ^a   Huang, G H ^b  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Feasibility; Lake Qionghai; Linear programming; Optimization; Uncertainty

Indexed keywords

ENVIRONMENTAL MANAGEMENT; FEASIBILITY STUDY; LINEAR PROGRAMING; MODELING; RESOURCE MANAGEMENT; WATER QUALITY;

ASIA; CHINA; EURASIA; FAR EAST; QIONGHAI LAKE; SICHUAN;

EID: 45349099612     PISSN: 17262135     EISSN: 16848799     Source Type: Journal    
DOI: 10.3808/jei.200800105     Document Type: Article

References (20)

1. Ben-Israel, A. and Robers, P.D. (1970). A decomposition method for interval linear programming, Management Science, 16, 374-387.
2. Chanas, S. and Kuchta, D. (1996). Fuzzy linear programming with fuzzy numbers, Fuzzy Sets and Systems, 94, 594-598.
3. Chinneck, J.W., Ramadan, K. (2000). Linear programming with interval coefficients, J. Oper. Res. Soc., 51, 209-220.
4. Dantzig, G.B. (1955). Linear programming under uncertainty, Management Science, 1, 197-206.
5. Huang, G.H. (1996). IPWM: An interval parameter water quality management model, Engineering Optimization, 26, 79-103.
6. Huang, G.H. (1998). A hybrid inexact-stochastic water management model, European Journal of Operational Research, 107, 137-158, doi:10.1016/S0377-2217(97)00144-6.
7. Huang, G.H. and Chang, N.B. (2003). The perspectives of environmental informatics and systems analysis, J. Env. Inform., 1, 1-6, doi:10.3808/jei.200300001.
8. Huang, G.H. and Moore, R.D. (1993). Grey linear programming, its solving approach and its application, International Journal of Systems Science, 24, 159-172.
9. Huang, G.H., Baetz, B.W. and Patry, G.G. (1995). Grey integer programmming: an application to waste management planning under uncertainty, European Journal of Operational Research, 83, 594-620, doi:10.1016/0377-2217(94)00093-R.
10. Inuiguchi, M. and Sakawa, M. (1995). Minimax regret solution to linear programming problems with an interval objective function, European Journal of Operational Research, 86, 526-536, doi:10.1016/0377-2217(94)00092-Q.
11. Li, Y.P., Huang, G.H. and Nie, S.L. (2007a). Mixed interval-fuzzy two-stage integer programming and its application to flood-diversion planning, Engineering Optimization, 39(2), 163-183, doi:10.1080/03052150601044831.
12. Li, Y.P., Huang, G.H., Xiao, H.N. and Qin, X.S. (2007b). An inexact two-Stage quadratic program for water resources planning, J. Env. Inform., 10, 99-105, doi:10.3808/jei.200700104.
13. Liu, B.D. (1997). Modelling stochastic decision systems using dependent-chance programming, European Journal of Operational Research, 101, 193-203, doi:10.1016/0377-2217(95)00371-1.
14. Maqsood, I., Huang, G.H. and Yeomans, J.S. (2005). An interval-para meter fuzzy two-stage stochastic program for water resources management under uncertainty, European Journal of Operational Research, 167, 208-225, doi:10.1016/j.ejor.2003.08.068.
15. Qin, X.S., Huang, G.H., Zeng, G.M. and Chakma, A. (2007). An interval-parameter fuzzy nonlinear optimization model for stream water quality management under uncertainty, European Journal of Operational Research, 180(3), 1331-1357, doi:10.1016/j.ejor.2006.03.053.
16. Rommelfanger, H., Hanuscheck, R. and Wolf, J. (1989). Linear programming with fuzzy objectives, Fuzzy Sets and Systems, 29, 31-48, doi:10.1016/0165-0114(89)90134-6.
17. Sahinidis, N.V. (2004). Optimization under uncertainty: state-of-the-art and opportunities, Computers and Chemical Engineering, 28, 971-983, doi:10.1016/j.compchemeng.2003.09.017.
18. Sengupta, A., Pal, T.K. and Chakraborty, D. (2001). Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming, Fuzzy Sets and Systems, 19, 129-138, doi:10.1016/S0165-0114(98)00407-2.
19. Tong, S.C. (1994). Interval number and fuzzy number linear programming, Fuzzy Sets and Systems, 66, 301-306, doi:10.1016/0165-0114(94)90097-3.
20. Zhou, F., Chen, G.X., Guo, H.C. and Liu, Y. (2008). Modified interval linear programming for lake watershed management, Acta Scientiae Circumstantiae, (Accepted).