An inexact chance-constrained quadratic programming model for stream water quality management

Water Resources Management

Volumn 23, Issue 4, 2009, Pages 661-695

  Qin, X S ^a   Huang, G H ^a,b  

^a UNIVERSITY OF REGINA   (Canada)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

Author keywords

Chance constrained programming; Interval quadratic programming; Uncertainty; Water quality management

Indexed keywords

COMPUTER SOFTWARE SELECTION AND EVALUATION; MONTE CARLO METHODS; OPTIMIZATION; PROBABILITY DISTRIBUTIONS; QUADRATIC PROGRAMMING; QUALITY CONTROL; QUALITY MANAGEMENT; RANDOM VARIABLES; RIVER POLLUTION; RIVERS; UNCERTAINTY ANALYSIS; WASTEWATER; WASTEWATER RECLAMATION; WASTEWATER TREATMENT; WATER CONSERVATION; WATER MANAGEMENT; WATER POLLUTION CONTROL; WATER QUALITY; WATER RECYCLING; WATER SUPPLY; WATER TREATMENT PLANTS;

CHANCE-CONSTRAINED; CHANCE-CONSTRAINED PROGRAMMING; CONTROL ACTIONS; DECISION MAKERS; DECISION VARIABLES; ENVIRONMENTAL RESPONSE; FAILURE RISKS; INTERVAL QUADRATIC PROGRAMMING; MANAGEMENT STRATEGIES; MONTE CARLO SIMULATIONS; MULTI SEGMENTS; NON LINEARITIES; NON-LINEAR OPTIMIZATION PROBLEMS; OPTIMIZATION MODELS; OPTIMIZATION PROCESS; QUADRATIC POLYNOMIALS; QUALITY CONSTRAINTS; QUALITY PARAMETERS; SIMULATION MODELS; STREAM WATER QUALITIES; TRANSFORMATION MATRICES; UNCERTAINTY; WASTE REDUCTIONS; WASTEWATER TREATMENT COSTS; WATER QUALITY MANAGEMENT; WATER QUALITY STANDARDS;

HYDRAULIC MODELS;

MONTE CARLO ANALYSIS; OPTIMIZATION; POINT SOURCE POLLUTION; POLLUTION CONTROL; STREAMWATER; UNCERTAINTY ANALYSIS; WASTEWATER; WATER MANAGEMENT; WATER QUALITY; WATER TREATMENT;

ASIA; CHANGSHA; CHINA; EURASIA; FAR EAST; HUNAN; XIANG RIVER;

EID: 60849091340     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-008-9294-0     Document Type: Article

References (79)

1. Bobba AG, Singh VP, Bengtsson L (2004) Application of first-order and Monte Carlo analysis in watershed water quality models. Water Resour Manag 10(3):219-240
2. Bouwer H (2003) Integrated water management for the 21st century: problems and solutions. Food Agric Environ 1(1):118-127
3. Burges SJ, Lettenmaier DP (1975) Probabilistic methods in stream quality management. Water Resour Bull 11(1):115-130
4. Burn DH, McBean EA (1987) Application of nonlinear optimization to water quality. Appl Math Modell 11:438-446
5. Chapra SC, Pelletier GJ, Tao H (2005) QUAL2K: A modeling framework for simulating river and stream water quality (version 2.04): Documentation and users manual. Civil and Environmental Engineering Dept., Tufts University, Medford, MA
6. CEPA (China Environmental Protection Agency) (1996) Industrial wastewater discharge standard (GB8978-1996), Beijing
7. CEPA (China Environmental Protection Agency) (2002) Environmental quality standard for surface water (GB3838-2002). Beijing
8. Chang NB, Chen HW, Shaw DG, Yang CH (1997) Water pollution control in river basin by interactive fuzzy interval multiobjective programming. J Environ Eng (ASCE) 123(12):1208-1216
9. Charnes A, Cooper WW, Kirby P (1972) Chance constrained programming: An extension of statistical method. In: Optimizing methods in statistics. Academic, New York, pp 391-402
10. Chen B (2007) Climate change and pesticide loss in watershed systems: A simulation modeling study. J Environ Informat 10(2):55-67
11. Chen MJ, Huang GH (2001) A derivative algorithm for inexact quadratic program - application to environmental decision-making under uncertainty. Eur J Oper Res 128:570-586
12. Cheng ST, Cheng LL (eds) (1990) Environmental system analysis. China Higher Education Press, Beijing
13. Dupacova J, Gaivoronski A, Kos Z, Szantai T (1991) Stochastic programming in water management: A case study and a comparison of solution techniques. Eur J Oper Res 52:28-44
14. Finney BA, Bowles DS, Windham MP (1982) Random differential equations in river water quality modeling. Water Resour Res 18(1):122-134
15. Fu GW, Cheng ST (eds) (1985) Systems planning for water pollution control. Tsinghua University Press, Beijing
16. Fujiwara O, Puangmaha W, Hanaki K (1988) River basin water quality management in stochastic environment. J Environ Eng 114(4):864-877
17. Gen M, Ida K, Lee J (1997) Fuzzy nonlinear goal programming using genetic algorithm. Comput Ind Eng 22(1-2):39-42
18. Giri BS, Karimi IA, Ray MB (2001) Modeling and Monte Carlo simulation of TCDD transport in a river. Water Res 35(5):1263-1279
19. Hillier FS, Lieberman GJ (1986) Introduction to operations research, 4th edn. Holden-Day, Oakland, CA
20. Huang GH (1998) A hybrid inexact-stochastic water management model. Eur J Oper Res 107:137-158
21. Huang GH, Chang NB (2003) The perspectives of environmental informatics and systems analysis. J Environ Informat 191:1-6
22. Huang GH, Loucks DP (2000) An inexact two-stage stochastic programming model for water resources management under uncertainty. Civ Eng Environ Syst 17:95-118
23. Huang GH, Moore RD (1993) Grey linear programming, its solving approach, and its application to water pollution control. Int J Syst Sci 24(1):159-172
24. Huang GH, Xia J (2001) Barriers to sustainable water-quality management. J Environ Manag 61(1):1-23
25. Huang GH, Baetz BW, Patry GG (1992) An interval linear programming approach for municipal solid waste management planning under uncertainty. Civ Eng Syst 9:319-335
26. Huang GH, Baetz BW, Patry GG (1993) A grey fuzzy linear programming approach for waste management and planning under uncertainty. Civ Eng Syst 10:123-146
27. Huang GH, Baetz BW, Party GG (1995) Grey quadratic programming and its application to municipal solid waste management planning under uncertainty. Eng Optim 23:201-223
28. Huang GH, Baetz BW, Patry GG (1998) Trashflow allocation: Planning under uncertainty. Interfaces 28(6):36-55
29. Huang YF, Huang GH, Baetz BW, Liu L (2002) Violation analysis for solid waste management systems: An interval fuzzy programming approach. J Environ Manag 65(4):431-446
30. Infanger G, Morton DP (1996) Cut sharing for multistage stochastic linear programs with interstage dependency. Math Program 75:241-251
31. Karmakar S, Mujumdar PP (2006) Grey fuzzy optimization model for water quality management of a river system. Adv Water Resour 29:1088-1105
32. Kennedy WJ, Gentle JE (1981) Statistics: Textbooks and monographs. Marcel Dekker, New York, pp 200-270
33. Kim KJ, Lin DKJ (1998) Dual response surface optimization: A fuzzy modeling approach. J Qual Technol 30(1):1-10
34. Kothandaraman V, Ewing BB (1969) A probabilistic analysis of dissolved oxygen-biochemical oxygen demand relationship in streams. J Water Pollut Control Federation 41(2):155-162
35. Kotti ME, Vlessidis AG, Thanasoulias NC, Evmiridis NP (2005) Assessment of river water quality in Northwestern Greece. Water Resour Manag 19(1):77-94
36. Kuhn HW, Tucker AW (1951) Nonlinear programming. In: Neyman J (ed) Proceedings of the second Berkeley symposium on mathematical statistics and probability. University of California Press, Berkeley, CA, pp 481-492
37. Kushner HJ, Yang J (1992) A Monte Carlo method for sensitivity analysis and parametric optimization of nonlinear stochastic systems: The ergodic case. SIAM J Control Optim 30(2):440-464
38. Lahkim MB, Garcia LA (1999) Stochastic modeling of exposure and risk in a contaminated heterogeneous aquifer, 1: Monte Carlo uncertainty analysis. Environ Eng Sci 16(5):315-328
39. Leduc RT, Unny TE, McBean EA (1988) Stochastic models for first-order kinetics of biochemical oxygen demand with random initial conditions, inputs and coefficients. Appl Math Modell 12:565-572
40. Lee CS, Chang SP (2005) Interactive fuzzy optimization for an economic and environmental balance in a river system. Water Res 39(1):221-231
41. Lee CS, Wen CG (1996) River assimilative capacity analysis via fuzzy linear programming. Fuzzy Sets Syst 79(2):191-201
42. Lee CS, Wen CG (1997) Fuzzy goal programming approach for water quality management in a river basin. Fuzzy Sets Syst 89(2):181-192
43. Li YP, Huang GH, Baetz BW (2006) Environmental management under uncertainty - an internal-parameter two-stage chance-constrained mixed integer linear programming method. Environ Eng Sci 23(5):761-779
44. Li YP, Huang GH, Xiao HN, Qin XS (2007) An inexact two-stage quadratic program for water resources planning. J Environ Informat 10(2):99-105
45. Liu L, Huang GH, Liu Y, Fuller GA, Zeng GM (2002) A fuzzy-stochastic robust programming model for regional air quality management under uncertainty. Eng Optim 32(2):177-199
46. Loucks DP (2003) Managing America's rivers: Who's doing it? Int J River Basin Manage 1(1):21-31
47. Loucks DP, Lynn WR (1966) Probabilistic models for predicting stream quality. Water Resour Res 2(3):593-605
48. Loucks DP, Stedinger JR, Haith DA (1981) Water resource systems planning and analysis. Prentice-Hall, Englewood Cliffs, NJ
49. Loucks DP, Kindler J, Fedra K (1985) Interactive water resources modeling and model use: An overview. Water Resour Res 21(2):95-102
50. Mujumdar PP, Sasikumar K (2002) A fuzzy risk approach for seasonal water quality management of a river system. Water Resour Res 38(1):1004. doi:10.1029/2000WR000126
51. Mujumdar PP, Saxena P (2004) A stochastic dynamic programming model for stream water quality management. Sadhana 29(5):477-497
52. Murty YSR, Bhallamudi SM, Srinivasan K (2006) Non-uniform flow effect on optimal waste load allocation in rivers. Water Resour Manag 20(4):509-530
53. Nakamura K (1984) Some extensions of fuzzy linear programming. Fuzzy Sets Syst 14:211-229
54. O'Connor DJ, Dobbins WE (1958) Mechanisms of reaeration in natural streams. Trans Am Soc Civ Eng 123:641-684
55. Qin XS, Zeng GM (2002) Application of genetic algorithm to gray non-linear programming problems for water environment. Adv Water Sci (China) 13(1):32-37
56. Qin XS, Huang GH, Huang YF, Zeng GM, Chakma A (2006) NRSRM: A decision support system and visualization software for the management of petroleum-contaminated sites. Energy Sources, Part A 28(1-3):199-220
57. Qin XS, Huang GH, Chakma A (2007a) A stepwise-inference-based optimization system for supporting remediation of petroleum-contaminated sites. Water, Air and Soil Pollut 185(1-4):349-368
58. Qin XS, Huang GH, Zeng GM, Chakma A, Huang YF (2007b) An interval-parameter fuzzy nonlinear optimization model for stream water quality management under uncertainty. Eur J Operat Res 180:1331-1357
59. Qin XS, Huang GH, Chakma A (2008a) Modeling groundwater contamination under uncertainty: A factorial-design-based stochastic approach. J Environ Informatics 11(1):11-20
60. 2 geologic storage in the Weyburn Field. Petroleum Science and Technology 26(7-8):813-843
61. Qin XS, Huang GH, Zeng GM, Chakma A (2008c). Optimization of dual-phase vacuum extraction to remove nonaqueous phase liquids in subsurface. Water Resour Res 44:W04422
62. Rauch W, Henze M, Koncsos L, Reichert P (1998) River water quality modelling I. state of the art. In: Proceedings at the IAWQ Biennial International Conference, Vancouver, British Columbia, Canada, pp 21-26
63. Revelli R, Ridolfi L (2004) Stochastic dynamics of BOD in a stream with random inputs. Adv Water Resour 27:943-952
64. Rinaldi S, Soncini-Sessa R, Stehfest H, Tamura H (1979) Modeling and control of river quality. McGraw-Hill, New York, London
65. Saadatpour M, Afshar A (2006) Waste load allocation modeling with fuzzy goals: Simulation-optimization approach. Water Resour Manag 21(7):1207-1224
66. Sakawa M (1984) Interactive fuzzy goal programming for multiobjective nonlinear programming problems and its applications to water quality management. Control Cybern 13:217-228
67. Sasikumar K, Mujumdar PP (1998) Fuzzy optimization model for water quality management of river system. J Water Resour Plan Manage (ASCE) 124:79-84
68. Slowinski R (1986) A multicriteria fuzzy linear programming method for water supply system development planning. Fuzzy Sets Syst 19:217-237
69. Stijnen JW, Heemink AW, Ponnambalam K (2003) Numerical treatment of stochastic river quality models driven by coloured noise. Water Resour Res 39(3):WR001054
70. Thomann RV, Mueller JA (1987) Principles of surface water quality modeling and control. Harper & Row, New York
71. Tung YK, Hathhorn WE (1989) Multi-objective waste load allocation. Water Resour Manag 3:129-140
72. van Gils JAG, Argiropoulos D (2004) Axios river basin water quality management. Water Resour Manag 5(3-4):271-280
73. Weintraub A, Vera J (1991) A cutting plan approach for chance-constrained linear programs. Oper Res 39(5):776-783
74. Wu XY, Huang GH, Liu L, Li JB (2006) An interval nonlinear program for the planning of waste management systems with economies-of-scale effects - A case study for the region of Hamilton, Ontario, Canada. Eur J Oper Res 171:349-372
75. Yang T, Ignizio JP, Kim HJ (1991) Fuzzy programming with nonlinear membership functions: Piecewise linear approximation. Fuzzy Sets Syst 41:39-53
76. Zeng GM, Yuan XZ, Yang CP (1998) Report of environmental impact assessment on Hengyang Shipping Project. Environmental Impact Assessment Center of Hunan University, Changsha, Hunan, China
77. Zeng GM, Qin XS, He L, Huang GH, Liu HL, Lin YP (2003) A neural network predictive control system for paper mill wastewater treatment. Eng Appl Artif Intell 16(2):121-129
78. Zeng GM, Lin YP, Huang GH, Li JB (2004) Optimum municipal wastewater treatment plan design with consideration of uncertainty. J Environ Sci 16(1):126-131
79. Zielinski PA (1991) On the meaning of randomness in stochastic environmental models. Water Resour Res 27(7):1607-1611