Research Papers: Design for Manufacture and the Life Cycle

Managing Conflicting Water Resource Goals and Uncertainties in a Dam Network by Exploring the Solution Space

[+] Author and Article Information
Lin Guo

The Systems Realization Laboratory @ OU,
The University of Oklahoma,
Norman, OK 73019

Hamed Zamanisabzi, Thomas M. Neeson

Department of Geography and
Environmental Sustainability,
The University of Oklahoma,
Norman, OK 73019

Janet K. Allen

John and Mary Moore Chair and Professor
The Systems Realization Laboratory @ OU,
The University of Oklahoma,
Norman, OK 73019
e-mail: janet.allen@ou.edu

Farrokh Mistree

L.A. Comp Chair and Professor
The Systems Realization Laboratory @ OU,
The University of Oklahoma,
Norman, OK 73019

1Corresponding author.

Contributed by the Design for Manufacturing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 28, 2018; final manuscript received November 20, 2018; published online January 10, 2019. Assoc. Editor: Harrison M. Kim.

J. Mech. Des 141(3), 031702 (Jan 10, 2019) (15 pages) Paper No: MD-18-1500; doi: 10.1115/1.4042211 History: Received June 28, 2018; Revised November 20, 2018

In a multireservoir system, ensuring adequate water availability while managing conflicting goals is critical to making the social–ecological system sustainable in the presence of considerable uncertainty. The priorities of multiple user groups and availability of the water resource vary with time, weather, and other factors. Uncertainties such as variations in precipitation can intensify the discrepancies between water supply and water demand. To reduce such discrepancies, we seek to satisfice conflicting goals, considering typical uncertainties. We observe that models are incomplete and inaccurate, which calls into question using a single point solution and suggests the need for solutions, which are robust to uncertainties. So, we explore satisficing solutions that are relatively insensitive to uncertainties, by incorporating different design preferences, identifying sensitive segments, and improving the design accordingly. In this article, we present an example of the exploration of the solution space to enhance sustainability in multidisciplinary systems, when goals conflict, preferences are evolving, and uncertainties add complexity, which can be applied in mechanical design. In this paper, we focus on the method rather than the results.

Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.


Reddy, M. J. , and Kumar, D. N. , 2007, “ Multiobjective Differential Evolution With Application to Reservoir System Optimization,” J. Comput. Civ. Eng., 21(2), pp. 136–146. [CrossRef]
Rani, D. , and Moreira, M. M. , 2010, “ Simulation–Optimization Modeling: A Survey and Potential Application in Reservoir Systems Operation,” Water Resour. Manage., 24(6), pp. 1107–1138. [CrossRef]
Wurbs, R. A. , 1991, Optimization of Multiple-Purpose Reservoir Systems Operations: A Review of Modeling and Analysis Approaches, Hydrologic Engineering Center, Davis, CA.
Crawley, P. , and Dandy, G. , 1993, “ A Headworks Optimisation Model Incorporating a Graphical User Interface,” Watercomp 93: Second Australasian Conference on Computing for the Water Industry Today and Tomorrow, Melbourne, Australia, Mar. 30–Apr. 1, pp. 319–324.
Loucks, D. P. , 2000, “ Sustainable Water Resources Management,” Water Int., 25(1), pp. 3–10. [CrossRef]
Dahe, P. , and Srivastava, D. , 2002, “ Multireservoir Multiyield Model With Allowable Deficit in Annual Yield,” J. Water Resour. Plann. Manage., 128(6), pp. 406–414. [CrossRef]
Needham, J. T. , Watkins , D. W., Jr. , Lund, J. R. , and Nanda, S. , 2000, “ Linear Programming for Flood Control in the Iowa and Des Moines Rivers,” J. Water Resour. Plann. Manage., 126(3), pp. 118–127. [CrossRef]
Vedula, S. , Mujumdar, P. , and Sekhar, G. C. , 2005, “ Conjunctive Use Modeling for Multicrop Irrigation,” Agric. Water Manage., 73(3), pp. 193–221. [CrossRef]
Tu, M.-Y. , Hsu, N.-S. , and Yeh, W. W.-G. , 2003, “ Optimization of Reservoir Management and Operation With Hedging Rules,” J. Water Resour. Plann. Manage., 129(2), pp. 86–97. [CrossRef]
Randall, D. , Cleland, L. , Kuehne, C. S. , Link, G. W. B. , and Sheer, D. P. , 1997, “ Water Supply Planning Simulation Model Using Mixed-Integer Linear Programming 'Engine,” J. Water Resour. Plann. Manage., 123(2), pp. 116–124. [CrossRef]
Loucks, D. P. , Stedinger, J. R. , and Haith, D. A. , 1981, Water Resource Systems Planning and Analysis, Prentice Hall, Englewood Cliffs, NJ.
Sreenivasan, K. , and Vedula, S. , 1996, “ Reservoir Operation for Hydropower Optimization: A Chance-Constrained Approach,” Sadhana, 21(4), pp. 503–510. [CrossRef]
Van Ackooij, W. , Henrion, R. , Möller, A. , and Zorgati, R. , 2014, “ Joint Chance Constrained Programming for Hydro Reservoir Management,” Optim. Eng., 15(2), pp. 509–531. https://link.springer.com/article/10.1007/s11081-013-9236-4
Ford, L. , and Fulkerson, D. R. , 1962, Flows in Networks, Princeton University Press, Princeton, NJ.
Kuczera, G. , and Diment, G. , 1988, “ General Water Supply System Simulation Model: WASP,” J. Water Resour. Plann. Manage., 114(4), pp. 365–382. [CrossRef]
Hsu, N.-S. , and Cheng, K.-W. , 2002, “ Network Flow Optimization Model for Basin-Scale Water Supply Planning,” J. Water Resour. Plann. Manage., 128(2), pp. 102–112. [CrossRef]
Ponnambalam, K. , Vannelli, A. , and Unny, T. , 1989, “ An Application of Karmarkar's Interior-Point Linear Programming Algorithm for Multi-Reservoir Operations Optimization,” Stochastic Hydrol. Hydraul., 3(1), pp. 17–29. [CrossRef]
Seifi, A. , and Hipel, K. W. , 2001, “ Interior-Point Method for Reservoir Operation With Stochastic Inflows,” J. Water Resour. Plann. Manage., 127(1), pp. 48–57. [CrossRef]
Mousavi, S. J. , Moghaddam, K. S. , and Seifi, A. , 2004, “ Application of an Interior-Point Algorithm for Optimization of a Large-Scale Reservoir System,” Water Resour. Manage., 18(6), pp. 519–540. [CrossRef]
Zhou, H.-C. , Zhang, G.-H. , and Wang, G.-L. , 2007, “ Multi-Objective Decision Making Approach Based on Entropy Weights for Reservoir Flood Control Operation,” J. Hydraul. Eng., 38(1), pp. 100–106.
Teegavarapu, R. S. , and Simonovic, S. P. , 2000, “ Short-Term Operation Model for Coupled Hydropower Reservoirs,” J. Water Resour. Plann. Manage., 126(2), pp. 98–106. [CrossRef]
Barros, M. T. , Tsai, F. T. , Yang, S.-L. , Lopes, J. E. , and Yeh, W. W. , 2003, “ Optimization of Large-Scale Hydropower System Operations,” J. Water Resour. Plann. Manage., 129(3), pp. 178–188. [CrossRef]
Yakowitz, S. , 1982, “ Dynamic Programming Applications in Water Resources,” Water Resour. Res., 18(4), pp. 673–696. https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/WR018i004p00673
Nandalal, K. , and Bogardi, J. J. , 2007, Dynamic Programming Based Operation of Reservoirs: Applicability and Limits, Cambridge University Press, Cambridge, UK.
Bellman, R. , and Dreyfus, S. , 1962, Computational Aspects of Dynamic Programming, Princeton University Press, Princeton, NJ.
Bellman, R. , 1957, Dynamic Programming, Princeton University Press, Princeton, NJ.
Ignizio, J. P. , 1982, Linear Programming in Single and Multi-Objective Systems, Prentice Hall, Englewood Cliffs, NJ.
Ignizio, J. P. , 1983, “ Generalized Goal Programming an Overview,” Comput. Oper. Res., 10(4), pp. 277–289. [CrossRef]
Ignizio, J. , 1985, Introduction to Linear Goal Programming, Quantitative Applications in the Social Sciences, J. L. Sullivan and R. G. Niemi , eds., Sage University Papers, Beverly Hills, CA.
Clayton, E. R. , Weber, W. E. , and Taylor, B. W., III , 1982, “ A Goal Programming Approach to the Optimization of Multi Response Simulation Models,” IIE Trans., 14(4), pp. 282–287. https://www.tandfonline.com/doi/abs/10.1080/05695558208975241
Loganathan, G. , and Bhattacharya, D. , 1990, “ Goal-Programming Techniques for Optimal Reservoir Operations,” J. Water Resour. Plann. Manage., 116(6), pp. 820–838. [CrossRef]
Eschenbach, E. A. , Magee, T. , Zagona, E. , Goranflo, M. , and Shane, R. , 2001, “ Goal Programming Decision Support System for Multiobjective Operation of Reservoir Systems,” J. Water Resour. Plann. Manage., 127(2), pp. 108–120. [CrossRef]
Changchit, C. , and Terrell, M. , 1993, “ A Multiobjective Reservoir Operation Model With Stochastic Inflows,” Comput. Ind. Eng., 24(2), pp. 303–313. [CrossRef]
Box, G. E. , and Draper, N. R. , 1987, Empirical Model-Building and Response Surfaces, Wiley, New York.
Simon, H. A. , and Kadane, J. B. , 1975, “ Optimal Problem-Solving Search: All-or-None Solutions,” Artif. Intell., 6(3), pp. 235–247. [CrossRef]
Triantaphyllou, E. , and Sánchez, A. , 1997, “ A Sensitivity Analysis Approach for Some Deterministic Multi‐Criteria Decision‐Making Methods,” Decis. Sci., 28(1), pp. 151–194. [CrossRef]
Mistree, F. , Hughes, O. F. , and Bras, B. A. , 1993, “ The Compromise Decision Support Problem and the Adaptive Linear Programming Algorithm,” Structural Optimization: Status and Promise, M. P. Kamat, ed., American Institute of Aeronautics and Astronautics, Washington, DC, pp. 247–286.
Mistree, F. , Hughes, O. F. , and Phuoc, H. , 1981, “ An Optimization Method for the Design of Large, Highly Constrained Complex Systems,” Eng. Optim., 5(3), pp. 179–197. [CrossRef]
Poff, N. L. , Brown, C. M. , Grantham, T. E. , Matthews, J. H. , Palmer, M. A. , Spence, C. M. , Wilby, R. L. , Haasnoot, M. , Mendoza, G. F. , and Dominique, K. C. , 2016, “ Sustainable Water Management Under Future Uncertainty With Eco-Engineering Decision Scaling,” Nat. Clim. Change, 6(1), p. 25. [CrossRef]
Xue, X. , Zhang, K. , Hong, Y. , Gourley, J. J. , Kellogg, W. , McPherson, R. A. , Wan, Z. , and Austin, B. N. , 2015, “ New Multisite Cascading Calibration Approach for Hydrological Models: Case Study in the Red River Basin Using the VIC Model,” J. Hydrol. Eng., 21(2), p. 05015019. https://ascelibrary.org/doi/abs/10.1061/(ASCE)HE.1943-5584.0001282
McPherson, R. , 2016, “ Impacts of Climate Change on Flows in the Red River Basin,” Final Report to the South Central Climate Science Center, Norman, OK, Report No. G13AC00386, CFDA #15820.
Fok, K. L. , and Chopra, A. K. , 1986, “Earthquake Analysis of Arch Dams Including Dam–Water Interaction, Reservoir Boundary Absorption and Foundation Flexibility,” Earthquake Eng. Struct. Dyn., 14(2), pp. 155–184. https://onlinelibrary.wiley.com/doi/abs/10.1002/eqe.4290140202
Sabeghi, M. , Shukla, R. , Allen, J. K. , and Mistree, F. , “ Solution Space Exploration of the Process Design for Continuous Casting of Steel,” ASME Paper No. DETC2016-59399.


Grahic Jump Location
Fig. 1

Three steps for the exploration of the solution space

Grahic Jump Location
Fig. 2

Dams along the red river basin

Grahic Jump Location
Fig. 3

The 14-dam network

Grahic Jump Location
Fig. 4

A small part of the dam network in the red river basin

Grahic Jump Location
Fig. 5

The pools of a reservoir

Grahic Jump Location
Fig. 6

Illustration of the equality constraints for dam (reservoir) d

Grahic Jump Location
Fig. 7

Method for exploration of the solution space

Grahic Jump Location
Fig. 8

Visualization of the eight WSs in the ternary plot

Grahic Jump Location
Fig. 9

Feasible weight area of goal 1—reservoir

Grahic Jump Location
Fig. 10

Feasible weight area of goal 2—people

Grahic Jump Location
Fig. 11

Feasible weight area of goal 3—fish

Grahic Jump Location
Fig. 12

Satisficing weight area for three goals6

Grahic Jump Location
Fig. 13

Bring the solution away from the boundary by restricting the RHS

Grahic Jump Location
Fig. 14

Applying the physical boundary by relaxing RHS and then bring the solution away from the physical boundary by restricting RHS

Grahic Jump Location
Fig. 15

The satisficing area of the weights of original model (a) and improved model (b)

Grahic Jump Location
Fig. 16

Improvement through iterating



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In