TECHNICAL PAPERS
Feb 19, 2004

Optimal Operation of Multireservoir Systems: State-of-the-Art Review

This article has a reply.
VIEW THE REPLY
This article has a reply.
VIEW THE REPLY
Publication: Journal of Water Resources Planning and Management
Volume 130, Issue 2

Abstract

With construction of new large-scale water storage projects on the wane in the U.S. and other developed countries, attention must focus on improving the operational effectiveness and efficiency of existing reservoir systems for maximizing the beneficial uses of these projects. Optimal coordination of the many facets of reservoir systems requires the assistance of computer modeling tools to provide information for rational management and operational decisions. The purpose of this review is to assess the state-of-the-art in optimization of reservoir system management and operations and consider future directions for additional research and application. Optimization methods designed to prevail over the high-dimensional, dynamic, nonlinear, and stochastic characteristics of reservoir systems are scrutinized, as well as extensions into multiobjective optimization. Application of heuristic programming methods using evolutionary and genetic algorithms are described, along with application of neural networks and fuzzy rule-based systems for inferring reservoir system operating rules.

Get full access to this article

View all available purchase options and get full access to this article.

References

Ahmed, I., and Lansey, K. (2001). “Optimal operation of multi-reservoir systems under uncertainty.” Proc., World Water and Environmental Resources Congress, D. Phelps, ed., Environmental and Water Resources Institute of ASCE, Reston, Va.
Archibald, T., McKinnon, K., and Thomas, L.(1997). “An aggregate stochastic dynamic programming model of multireservoir systems.” Water Resour. Res., 33(2), 333–340.
Ardekaaniaan, R., and Moin, S. (1995). “A comparison of different optimization techniques based on a real water resources allocation problem.” Proc., Regional Conf. on Water Resources Management, Isfahan, Iran.
Arnold, E., Tatjewski, P., and Wolochowicz, P.(1994). “Two methods for large-scale nonlinear optimization and their comparison on a case study of hydropower optimization.” J. Optim. Theory Appl., 81(2), 221–248.
ASCE Task Committee on Sustainability Criteria. (1998). “Sustainability for water resource systems.” ASCE and UNESCO/IHP IV Project M-4.3, Water Resources Planning and Management Division, ASCE, Reston, Va.
Barros, M., Tsai, F., Yang, S.-L., Lopes, J., and Yeh, W.(2003). “Optimization of large-scale hydropower system operations.” J. Water Resour. Plan. Manage., 129(3), 178–188.
Bazarra, M., Sherali, H., and Shetty, C. (1993). Nonlinear programming: Theory and algorithms, Wiley, New York.
Becker, L., and Yeh, W.(1974). “Optimization of real-time operation of a multiple reservoir system.” Water Resour. Res., 10(6), 1107–1112.
Bellman, R. (1957). Dynamic programming, Princeton University Press, Princeton, N.J.
Bellman, R. (1961). Adaptive control processes: A guided tour, Princeton University Press, Princeton, N.J.
Bellman, R., and Dreyfus, S. (1962). Applied dynamic programming, Princeton University Press, Princeton, N.J.
Bertsekas, D. (1987). Dynamic programming: Deterministic and stochastic models, Prentice-Hall, Englewood Cliffs, N.J.
Bertsekas, D., and Tseng, P. (1994). “RELAX-IV: A faster version of the RELAX code for solving minimum cost flow problems.” Completion Report under NSF Grant CCR-9103804, Department of Electrical Engineering and Computer Science, MIT, Cambridge, Mass.
Bertsekas, D., and Tsitsiklis, J. (1996). Neuro-dynamic programming, Athena Scientific, Belmont, Mass.
Biddle, S. (2001). “Optimizing the TVA reservoir system using RiverWare.” Proc., World Water and Environmental Congress, ASCE, Orlando, Fla.
Bouchart, F., and Hampartzoumian, E. (1999). “Use of genetic algorithms within reinforcement learning model for multiple reservoir operation.” Water industry systems: Modelling and optimization applications, D. Savic and G. Walters, eds., Research Studies Press, Ltd., Baldock, Hertfordshire, England.
Braga, B., Yeh, W., and Barros, M.(1991). “Stochastic optimization of multiple-reservoir-system operation.” J. Water Resour. Plan. Manage., 117(4), 471–481.
Brans, J., Vincke, P., and Mareschal, B.(1986). “How to select and how to rank: The PROMETHEE method.” Eur. J. Oper. Res., 24(2), 228–238.
Bryson, A., and Ho, Y.-C. (1975). Applied optimal control: Optimization, estimation, and control, Hemisphere, Washington.
Buras, N. (1972). Scientific allocation of water resources; water resources development and utilization-a rational approach, American Elsevier, New York.
Caballero, Y., Chevallier, P., Boone, A., and Noilhan, J. (2001). “River flow modeling for a tropical high-altitude mountain: A case study of the Rio Zongo Valley in the Royal Cordillera, Bolivia.” 6th Scientific Assembly of the International Association of Hydrological Sciences, Maastricht, The Netherlands.
Cai, X., McKinney, D., and Lasdon, L.(2001). “Solving nonlinear water management models using a combined genetic algorithm and linear programming approach.” Adv. Water Resour., 24(6), 667–676.
Chandramouli, V., and Raman, H.(2001). “Multireservoir modeling with dynamic programming and neural networks.” J. Water Resour. Plan. Manage., 127(2), 89–98.
Cohon, J. (1978). Multiobjective programming and planning, Academic, New York.
Collins, M.(1977). “Implementation of an optimization model for operation of a metropolitan reservoir system.” Water Resour. Bull., 13(1), 57–70.
Crawley, P., and Dandy, G.(1993). “Optimal operation of multiple-reservoir system.” J. Water Resour. Plan. Manage., 119(1), 1–17.
Divi, R., and Ruiu, D. (1989). “Optimal management of multi-purpose reservoirs in a hydro-thermal power system.” Computerized decision support systems for water managers, J. Labadie et al., eds., ASCE, Reston, Va., 413–424.
Dreyfus, S., and Law, A. (1977). The art and theory of dynamic programming, Academic, New York.
El-Awar, F., Labadie, J., and Ouarda, T.(1998). “Stochastic differential dynamic programming for multireservoir system control.” J. Stochastic Hydrol. Hydraul., 12, 247–266.
Eschenbach, E., Magee, T., Zagona, E., Goronflo, M., and Shane, R.(2001). “Goal programming decision support system for multiobjective operation of reservoir systems.” J. Water Resour. Plan. Manage., 127(2), 108–120.
Fontane, D., Gates, T., and Moncada, E.(1997). “Planning reservoir operations with imprecise objectives.” J. Water Resour. Plan. Manage., 123(3), 154–162.
Ford, L., and Fulkerson, D. (1962). Flows in networks, Princeton University Press, Princeton, N.J.
Fredericks, J., Labadie, J., and Altenhofen, J.(1998). “Decision support system for conjunctive stream-aquifer management.” J. Water Resour. Plan. Manage., 124(2), 69–78.
Gal, S.(1979). “Optimal management of a multi-reservoir water supply system.” Water Resour. Res., 15(4), 737–749.
Georgakakos, A.(1989a). “Extended linear quadratic Gaussian control: Further extensions.” Water Resour. Res., 25(2), 191–201.
Georgakakos, A.(1989b). “The value of streamflow forecasting in reservoir operations.” Water Resour. Bull., 25(4), 789–800.
Georgakakos, A., and Marks, D.(1987). “A new method for the real-time operation of reservoir systems.” Water Resour. Res., 23(7), 1376–1390.
Georgakakos, A., Yao, H., and Yu, Y.(1997). “Control model for hydroelectric energy-value optimization.” J. Water Resour. Plan. Manage., 123(1), 30–38.
Giles, J., and Wunderlich, W.(1981). “Weekly multipurpose planning model for TVA reservoir system.” J. Water Resour. Plan. Manage., 107(2), 495–511.
Goicoechea, A., Hansen, D., and Duckstein, L. (1982). Multiobjective decision analysis with engineering and business applications, Wiley, New York.
Goldberg, D. (1989). Genetic algorithms in search optimization and machine learning, Addison-Wesley, Reading, Mass.
Goulter, I.(1992). “System analysis in water-distribution network design from theory to practice.” J. Water Resour. Plan. Manage. Div., Am. Soc. Civ. Eng., 118(3), 238–248.
Grygier, J., and Stedinger, J.(1985). “Algorithms for optimizing hydropower system operation.” Water Resour. Res., 21(1), 1–10.
Hall, W. (1970). “Optimal state dynamic programming for multireservoir hydroelectric systems.” Technical Rep., Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, Colo.
Hall, W., and Dracup, J. (1970). Water resources systems engineering, McGraw-Hill, New York.
Hall, W., Harboe, R., Yeh, W., and Askew, A. (1969). “Optimum firm power output from a two reservoir system by incremental dynamic programming.” Contribution # 130, Water Research Center, Univ. of California, Los Angeles.
Halliburton, T., and Sirisena, H.(1984). “Development of stochastic optimization for multi-reservoir scheduling.” IEEE Trans. Autom. Control, 29(1), 82–84.
Hashimoto, T., Stedinger, J., and Loucks, D.(1982). “Reliability, resiliency, and vulnerability criteria for water resources system evaluation.” Water Resour. Res., 18(1), 14–20.
Hayes, D., Labadie, J., Sanders, T., and Brown, J.(1998). “Enhancing water quality in hydropower system operations.” Water Resour. Res., 34(2), 471–483.
Hiedari, M., Chow, V., Kotovic, P., and Meredith, D.(1971). “Discrete differential dynamic programming approach to water resources system optimization.” Water Resour. Res., 7(2), 2733–282.
Hiew, K. (1987). “Optimization algorithms for large scale multi-reservoir hydropower systems.” PhD dissertation, Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, Colo.
Hiew, K., Labadie, J., and Scott, J. (1989). “Optimal operational analysis of the Colorado-Big Thompson project.” Computerized decision support systems for water managers, J. Labadie et al., eds., ASCE, Reston, Va., 632–646.
Higgins, J., and Brock, W.(1999). “Overview of reservoir release improvements at 20 TVA dams.” J. Energy Eng., 125(1), 1–17.
Houck, M., Colon, J., and ReVelle, C.(1980). “Linear decision rules in reservoir management and design 6: Incorporation of economic efficiency benefits and hydro-electric energy generation.” Water Resour. Res., 16(1), 196–200.
Howard, R. (1960). Dynamic programming and Markov processes, Massachusetts Institute of Technology Press, Cambridge, Mass.
Howard, C. (1994). “Optimal integrated scheduling of reservoirs and generating units.” Leading Edge Technology: Hydro-Vision Conf., Phoenix, Ariz.
Hsu, N.-S., and Cheng, K.-W.(2002). “Network flow optimization model for basin-scale water supply planning.” J. Water Resour. Plan. Manage., 128(2), 102–112.
Huang, W., Harboe, R., and Bogardi, J.(1991). “Testing stochastic dynamic programming models conditioned on observed or forecasted inflows.” J. Water Resour. Plan. Manage., 117(1), 28–36.
Hydrologic Engineering Center. (1989). “HEC-5: Simulation of flood control and conservation systems.” U.S. Army Corps of Engineers, Documentation and User’s Manual, Davis, Calif.
Ilich, N. (2001). “The benefits of replacing LP solvers in basin allocation models with a generalized nonlinear evolutionary network flow solver.” Proc., World Water and Environmental Resources Congress, D. Phelps and G. Shelke, eds., ASCE, Reston, Va.
Israel, M., and Lund, J.(1999). “Priority preserving unit penalties in network flow modeling.” J. Water Resour. Plan. Manage., 125(4), 205–214.
Jacobs, J., Freeman, G., Grygier, J., Morton, D., Schultz, G., Staschus, K., and Stedinger, J. (1995). “SOCRATES: A system for scheduling hydroelectric generation under uncertainty.” Models for planning under uncertainty, Vladimirou et al., eds., Baltzer Science, Bussum, The Netherlands.
Jacobson, H., and Mayne, Q. (1970). Differential dynamic programming, Elsevier, New York.
Johnson, S., Stedinger, J., Shoemaker, C., Li, Y., and Tejada-Guibert, J.(1993). “Numerical solution of continuous-state dynamic programs using linear and spline interpolation.” Oper. Res., 41(3), 484–500.
Jones, L., Willis, R., and Finney, B. (1986). “Water resources systems planning: Differential dynamic programming models.” Proc., Water Forum ’86, ASCE, Reston, Va., 1033–1040.
Kaelbling, L., Littman, M., and Moore, A.(1996). “Reinforcement learning: A survey.” J. Artif. Intell. Res., 4, 237–285.
Kall, P., and Wallace, S. (1995). Stochastic programming, Wiley, New York.
Karamouz, M., Houck, M., and Delleur, J.(1992). “Optimization and simulation of multiple reservoir systems.” J. Water Resour. Plan. Manage., 118(1), 71–81.
Kelman, J., Stedinger, J., Cooper, L., Hsu, E., and Yuan, S.-Q.(1990). “Sampling stochastic dynamic programming applied to reservoir operation.” Water Resour. Res., 26(3), 447–454.
Klipsch, J. (2002). “HEC-RESSIM: Capabilities and plans.” Second Federal Interagency Modeling Conf., Las Vegas.
Ko, S.-K., Fontane, D., and Labadie, J.(1992). “Multiobjective optimization of reservoir systems operations.” Water Resour. Bull., 28(1), 111–127.
Kuczera, G.(1993). “Network linear programming codes for water-supply headworks modeling.” J. Water Resour. Plan. Manage., 119(3), 412–417.
Labadie, J. (1993a). “Combining simulation and optimization in river basin management.” Stochastic hydrology and its uses in water resources systems simulation and optimization, J. Marco et al., eds., Kluwer Academic, Dordrecht, The Netherlands, 345–371.
Labadie, J. (1993b). “Optimal use of in-system storage for real-time urban stormwater control.” Urban Stormwater Drainage: Proc., U.S.–Italy Bilateral Seminar, Cao et al., eds., Water Resources Publications, Highlands Ranch, Calif.
Labadie, J. (1997). “Reservoir system optimization models.” Water Resources Update, The Universities Council on Water Resources (UCOWR), Issue 108, Southern Illinois Univ., Carbondale, Ill.
Labadie, J. (1999). “Generalized dynamic programming package: CSUDP.” Documentation and user manual, Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, Colo.
Labadie, J., and Baldo, M.(2001). “Discussion of ‘Priority preserving unit penalties in network flow modeling.’ by M. Israel and J. Lund.” J. Water Resour. Plan. Manage., 127(1), 67–68.
Labadie, J., Baldo, M., and Larson, R. (2000). “MODSIM: Decision support system for river basin management.” Documentation and user manual, Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, Colo.
Labadie, J., Brazil, L., Corbu, I., and Johnson, L., eds. (1989). Computerized decision support systems for water managers, ASCE, Reston, Va.
Labadie, J., Lazaro, R., and Morrow, D.(1981). “Worth of short-term rainfall forecasting for combined sewer overflow control.” Water Resour. Res., 17(6), 1594–1604.
Larson, R. (1968). State increment dynamic programming, Elsevier, New York.
Larson, R., Labadie, J., and Baldo, M. (1998). “MODSIM Decision support system for river basin water rights administration.” Proc., First Federal Interagency Hydrologic Modeling Conf., Las Vegas.
Loaiciga, H., and Marino, M.(1985). “An approach to parameter estimation and stochastic control in water resources with an application to reservoir operation.” Water Resour. Res., 21(11), 1575–1584.
Loganathan, G., and Bhattacharya, D.(1990). “Goal-programming techniques for optimal reservoir operations.” J. Water Resour. Plan. Manage., 116(6), 820–838.
Loucks, D. P.(2000). “Sustainable water resources management.” Water Int., 25(1), 3–10.
Loucks, D., and Dorfman, P.(1975). “An evaluation of some linear decision rules in chance-constrained models for reservoir planning and operation.” Water Resour. Res., 11(6), 777–782.
Loucks, D., Stedinger, J., and Haith, D. (1981). Water resource systems planning and analysis, Prentice-Hall, Englewood Cliffs, N.J.
Luhandjula, M., and Gupta, M.(1996). “On fuzzy stochastic optimization.” Fuzzy Sets Syst., 81, 47–55.
Lund, J., and Ferreira, I.(1996). “Operating rule optimization for Missouri River reservoir system.” J. Water Resour. Plan. Manage., 122(4), 287–295.
Maass, A., Hufschmidt, M., Dorfman, R., Thomas, H., Marglin, S., and Fair, G. (1962). Design of water resource systems, Harvard University Press, Cambridge, Mass.
Martin, Q.(1983). “Optimal operation of multiple reservoir systems.” J. Water Resour. Plan. Manage., 109(1), 58–74.
Mays, L., and Tung, Y.-K. (1992). Hydrosystems engineering and management, McGraw-Hill, New York.
McLaughlin, D., and Velasco, H.(1990). “Real-time control of a system of large hydropower reservoirs.” Water Resour. Res., 26(4), 623–635.
Michalewicz, Z. (1996). Genetic algorithms+data structures=evolution programs, Springer, Berlin.
Mishalani, N., and Palmer, N.(1988). “Forecast uncertainty in water supply reservoir operation.” Water Resour. Bull., 24(6), 1237–1245.
Mizyed, N., Loftis, J., and Fontane, D.(1992). “Operation of large multireservoir systems using optimal-control theory.” J. Water Resour. Plan. Manage., 118(4), 371–387.
Munevar, A., and Chung, F. (1999). “Modeling California’s water resource systems with CALSIM.” Proc., 26th Annual Water Resources Planning and Management Conf., E. Wilson, ed., ASCE, Tempe, Ariz.
Murray, D., and Yakowitz, S.(1979). “Constrained differential dynamic programming and its application to multi-reservoir control.” Water Resour. Res., 15(5), 1017–1027.
Murtagh, B., and Saunders, M. (1987). “MINOS 5.1 user’s guide.” Technical Rep. No. 50 L 83-20R, Dept. of Operations Research, Stanford Univ., Stanford, Calif.
Murtagh, B., and Saunders, M. (1995). “MINOS 5.4 user’s guide.” Technical Rep. No. 50 L 83-20R, Dept. of Operations Research, Stanford Univ., Stanford, Calif.
Nash, S., and Sofer, A. (1996). Linear and nonlinear programming, McGraw-Hill, New York.
Needham, J., Watkins, D., Lund, J., and Nanda, K.(2000). “Linear programming for flood control in the Iowa and Des Moines rivers.” J. Water Resour. Plan. Manage., 126(3), 118–127.
Nopmongcol, P., and Askew, A.(1976). “Multi-level incremental dynamic programming.” Water Resour. Res., 12(6), 1291–1297.
Oliveira, R., and Loucks, D.(1997). “Operating rules for multireservoir systems.” Water Resour. Res., 33(4), 839–852.
Otero, J., Labadie, J., and Haunert, D. (1995). “Optimization of managed runoff to the St. Lucie estuary.” Proc., First Int. Conf., W. Espey Jr. and P. Combs, eds., Water Resources Engineering Division, ASCE, San Antonio.
Ouarda, T. (1991). “Stochastic optimal operation of large scale hydropower systems.” PhD dissertation, Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, Colo.
Ouarda, T., and Labadie, J.(2001). “Chance-constrained optimal control for multireservoir system optimization and risk analysis.” Stochastic Environ. Res. Risk Assessment, 15(3), 185–204.
Palmer, R. (2000). “Task committee report on shared vision modeling in water resources planning.” Proc., 26th Annual ASCE Water Resources Planning and Management Conf., Minneapolis.
Papageorgiou, M.(1988). “Certainty equivalent open-loop feedback control applied to multi-reservoir networks.” IEEE Trans. Autom. Control, 33(4), 392–399.
Peng, C.-S., and Buras, N.(2000). “Practical estimation of inflows into multireservoir system.” J. Water Resour. Plan. Manage., 126(5), 331–334.
Philbrick, C., and Kitanidis, P.(1999). “Limitations of deterministic optimization applied to reservoir operations.” J. Water Resour. Plan. Manage., 125(3), 135–142.
Ponnambalam, K., and Adams, B.(1996). “Stochastic optimization of multireservoir systems using a heuristic algorithm: Case study from India.” Water Resour. Res., 32(3), 733–741.
Pontryagin, L., Boltyanskii, V., Gamdrelidze, R., and Mishchenko, E. (1962). The mathematical theory of optimal processes, Interscience, New York.
Raman, H., and Chandramouli, V.(1996). “Deriving a general operating policy for reservoirs using neural network.” J. Water Resour. Plan. Manage., 122(5), 342–347.
ReVelle, C. (1999). Optimizing reservoir resources: Including a new model for reservoir reliability, Wiley, New York.
ReVelle, C., Joeres, E., and Kirby, W.(1969). “Linear decision rules in reservoir management and design 1: Development of the stochastic model.” Water Resour. Res., 5(4), 767–777.
Roefs, T., and Bodin, T.(1970). “Multireservoir operation studies.” Water Resour. Res., 6(2), 410–420.
Saad, M., Bigras, P., Turgeon, A., and Duquette, R.(1996). “Fuzzy learning decomposition for the scheduling of hydroelectric power systems.” Water Resour. Res., 32(1), 179–186.
Saaty, T. (1980). The analytical hierarchy process: Planning, priority setting, resource allocation, McGraw-Hill, New York.
Seifi, A., and Hipel, K.(2001). “Interior-point method for reservoir operation with stochastic inflows.” J. Water Resour. Plan. Manage., 127(1), 48–57.
Sen, S., and Yakowitz, S.(1987). “A quasi-Newton differential dynamic programming algorithm for discrete-time optimal control.” Automatica, 23(6), 749–752.
Sharif, M., and Wardlaw, R.(2000). “Multireservoir systems optimization using genetic algorithms: Case study.” J. Comput. Civ. Eng., 14(4), 255–263.
Shepherd, A., and Ortolano, L.(1996). “Water-supply system operations: Critiquing expert-system approach.” J. Water Resour. Plan. Manage., 122(5), 348–355.
Sherkat, V., Campo, R., Moslehi, K., and Lo, E.(1985). “Stochastic long-term hydro-thermal optimization for multireservoir systems.” IEEE Trans. Power Appar. Syst., PAS-104(8), 2040–2050.
Shim, K.-C., Fontane, D., and Labadie, J.(2002). “Spatial decision support system for integrated river basin flood control.” J. Water Resour. Plan. Manage., 128(3), 190–201.
Shim, S.-B., Koh, D.-K., Shim, K.-D., Labadie, J., and Lee, H.-S. (1994). “Development of optimal joint operation policies for a multi-reservoir system in the Han River Basin, Korea.” Hydroinformatics ’94, Verwey et al., eds., Balkema, Rotterdam, The Netherlands.
Shrestha, B., Duckstein, L., and Stakhiv, E.(1996). “Fuzzy rule-based modeling of reservoir operation.” J. Water Resour. Plan. Manage., 122(4), 262–269.
Simonovic, S., and Marino, M.(1982). “Reliability programming in reservoir management 3: Systems of multi-purpose reservoirs.” Water Resour. Res., 18(4), 735–743.
Sinha, A., and Bischof, C.(1998). “Application of automatic differentiation to reservoir design models.” J. Water Resour. Plan. Manage., 124(3), 162–167.
Stedinger, J.(1984). “The performance of LDR models for preliminary design and reservoir operation.” Water Resour. Res., 20(2), 215–224.
Stedinger, J., Sule, B., and Loucks, D.(1984). “Stochastic dynamic programming models for reservoir operation optimization.” Water Resour. Res., 20(11), 1499–1505.
Stein, S., Miller, C., Stout, S., and Webb, J. (2001). “Big Sandy River basin STELLA reservoir regulation model.” Proc., World Water and Environmental Congress, ASCE, Orlando, Fla.
Sun, Y.-H., Yeh, W., Hsu, N.-S., and Louie, P.(1995). “Generalized network algorithm for water-supply-system optimization.” J. Water Resour. Plan. Manage., 121(5), 392–398.
Tauxe, G., Inman, R., and Mades, D.(1980). “Multiple objectives in reservoir operation.” J. Water Resour. Plan. Manage., 106(1), 225–238.
Tejada-Guibert, J., Johnson, S., and Stedinger, J.(1995). “The value of hydrologic information in stochastic dynamic programming models of a multireservoir system.” Water Resour. Res., 31(10), 2571–2579.
Tejada-Guibert, J., Stedinger, J., and Staschus, K.(1990). “Optimization of the value of CVP’s hydropower production.” J. Water Resour. Plan. Manage., 116(1), 52–70.
Terlaky, T., ed. (1996). Interior point methods of mathematical programming, Kluwer Academic, Dordrecht, The Netherlands.
Thomas, H., and Watermeyer, P. (1962). “Mathematical models: A stochastic sequential approach.” Design of water resource systems, A. Maass, M. Hufschmidt, R. Dorfman, H. Thomas, S. Marglin, and G. Fair, eds., Harvard University Press, Cambridge, Mass.
Trezos, T.(1991). “Integer programming application for planning of hydropower production.” J. Water Resour. Plan. Manage., 117(3), 340–351.
Trezos, T., and Yeh, W. (1989). “Stochastic dynamic programming and its application to multi-reservoir systems.” Computerized decision support systems for water managers, J. Labadie et al., eds., ASCE, Reston, Va. 559–571.
Turgeon, A.(1980). “Optimal operation of multi-reservoir power systems with stochastic inflows.” Water Resour. Res., 16(2), 275–283.
Unver, O., and Mays, L.(1990). “Model for real-time optimal flood control operation of a reservoir system.” Water Resour. Manage., 4, 21–46.
U.S. Army Corps of Engineers. (1997). “Engineering and design: Hydrologic engineering requirements for reservoirs.” Engineer manual 1110-2-1420, Washington, D.C.
Valdes, J., Montbrun-Di Filippo, J., Strzepek, K., and Restrepo, P.(1992). “Aggregation-disaggregation approach to multireservoir operation.” J. Water Resour. Plan. Manage., 118(4), 423–444.
Varvel, K., and Lansey, K. (2002). “Simulating surface water flow on the Upper Rio Grande using PowerSim 2001.” SAHRA-NSF Science and Technology Center for Sustainability of Semi-Arid Hydrology and Riparian Areas, Second Annual Meeting, University of Arizona, Tucson, Ariz.
Vasiliadis, H., and Karamouz, M.(1994). “Demand-driven operation of reservoirs using uncertainty-based optimal operating policies.” J. Water Resour. Plan. Manage., 120(1), 101–114.
Wasimi, S., and Kitanidis, P.(1983). “Real-time forecasting and daily operation of a multireservoir system during floods by linear quadratic Gaussian control.” Water Resour. Res., 19(6), 1511–1522.
World Commission on Dams. (2000). Dams and development: A new framework for decision-making, Earthscan Publications Ltd., London and Sterling, Va.
Wurbs, R.(1993). “Reservoir-system simulation and optimization models.” J. Water Resour. Plan. Manage., 119(4), 455–472.
Wurbs, R. (1996). Modeling and analysis of reservoir system operations, Prentice-Hall, Upper Saddle River, N.J.
Yakowitz, S.(1982). “Dynamic programming applications in water resources.” Water Resour. Res., 18(3), 673–696.
Yeh, W.(1985). “Reservoir management and operations models: A state-of-the-art review.” Water Resour. Res., 21(12), 1797–1818.
Yeh, W., and Becker, L.(1982). “Multi-objective analysis of multi-reservoir operations.” Water Resour. Res., 18(5), 1326–1336.
Yeh, W., and Trott, W. (1972). “Optimization of water resources development: Optimization of capacity specification for components of regional, complex, integrated, multi-purpose water resources systems.” Engineering Rep. No. 7245, Univ. of California, Los Angeles.
Yi, J., Labadie, J., and Stitt, S.(2003). “Dynamic optimal unit commitment and loading in hydropower systems.” J. Water Resour. Plan. Manage., 129(5), 388–398.
Young, G.(1967). “Finding reservoir operating rules.” J. Hydraul. Div., Am. Soc. Civ. Eng., 93(6), 297–321.
Zagona, E., Fulp, T., Goranflo, H. M., and Shane, R. (1998). “RiverWare: A general river and reservoir modeling environment.” Proc., First Federal Interagency Hydrologic Modeling Conf., Las Vegas, 113–120.
Zeleny, M. (1982). Multiple criteria decision making, McGraw-Hill, New York.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 130Issue 2March 2004
Pages: 93 - 111

History

Received: Aug 22, 2002
Accepted: Nov 27, 2002
Published online: Feb 19, 2004
Published in print: Mar 2004

Permissions

Request permissions for this article.

Authors

Affiliations

John W. Labadie, M.ASCE
Professor, Dept. of Civil Engineering, Colorado State Univ., Ft. Collins, CO 80523-1372.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share