Standard Interactive Genetic Algorithm—Comprehensive Optimization Framework for Groundwater Monitoring Design
Publication: Journal of Water Resources Planning and Management
Volume 134, Issue 6
Abstract
Optimization for water resources management typically requires many simplifying assumptions about the definition and characteristics of the policy or design application in order to express decision makers’ criteria as mathematical objectives and constraints. However, real-world applications often involve important subjective information that cannot be reflected in mathematical expressions accurately or completely. This can result in mathematically optimized solutions that are less meaningful or desirable to decision makers. To address this issue, this paper presents the standard interactive genetic algorithm (SIGA) methodology that enables human decision makers to effectively analyze subjective information that is not easily quantifiable and make decisions about the quality of a design based on their preferences. These decisions are used as continuous run-time subjective feedback, along with the mathematically defined objectives and constraints, to search for optimal designs that reflect both quantitative and qualitative objectives. Although this interactive optimization methodology is applicable for any water resources planning and management problems, this paper focuses on exploring the benefits of such an approach within the domain of groundwater monitoring design. Systematic procedures and guidelines for designing a SIGA are presented, along with proposed strategies for improving the performance of SIGA. The SIGA approach is also compared with a noninteractive genetic algorithm strategy for a real-world application, and the advantages and limitations of the interactive strategy are examined.
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Acknowledgments
The writers would like to thank Dr. Takagi (Kyushu University, Japan) for his insightful discussions on this subject, and Dennis Beckmann (BP Corporation North America) for providing them with the case study. This research was supported by the Department of Energy under Grant No. DOEDE-FG07-02ER635302 and Office of Naval Research Grant No. ONRN00014-04-1-0437.
References
Aly, A. H., and Peralta, R. C. (1999). “Comparison of a genetic algorithm and mathematical programming to the design of groundwater cleanup system.” Water Resour. Res., 35(8), 2415–2425.
Asoh, H., and Muhlenbein, H. (1994). “On the mean convergence time of evolutionary algorithms without selection and mutation.” Lecture notes in computer science, Vol. 866: PPSN-III, Springer, New York.
Burrell, G., and Morgan, G. (1979). Sociological paradigms and organizational analysis, Heinemann, London.
Chen, Z., Huang, G. H., and Chakma, A. (2003). “Hybrid fuzzy-stochastic modeling approach for assessing environmental risks at contaminated groundwater systems.” J. Environ. Eng., 129(1), 79–88.
Deb, K., Agrawal, S., Pratap, A., and Meyarivan, T. (2000). “A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II.” Kanpur Genetic Algorithm Laboratory (KanGAL) Rep. No. 200001, Indian Institute of Technology, Kanpur, India.
Goldberg, D. E. (1989a). Genetic algorithms in search, optimization & machine learning, Addison-Wesley, Reading, Mass.
Goldberg, D. E. (1989b). “Sizing populations for serial and parallel genetic algorithms.” Proc., 3rd Int. Conf. on Genetic Algorithms, D. Schaffer, ed., Morgan Kaufmann, San Mateo, Calif., 70–79.
Goovaerts, P. (1997). Geostatistics for natural resources evaluation, Oxford University Press, New York.
Groves, P., Minsker, B. S., Kane, N., Beckmann, D., Babbar, M., Greetis, J. (2004). “Optimizing long term monitoring plans using evolutionary multi-objective optimization.” Technical Rep. Prepared for Remediation Management-Environmental Technology, Atlantic Richfield (a BP affiliated company), Warrenville, Ill.
Henig, B. I., and Buchanan, J. (1996). “Solving MCDM problems: Process concepts.” J. Multi-Criter. Decis. Anal., 5, 3–12.
Hilton, A. B. C., and Culver, T. B. (2000). “Constraint handling for genetic algorithms in optimal remedial design.” J. Water Resour. Plann. Manage., 126(3), 128–137.
Jones, J. M. (1977). Introduction to decision theory, Richard D. Irwin, Inc., Homewood, Ill.
Kamalian, R. R., Takagi, H., and Agogino, A. M. (2004). “Optimized design of MEMS by evolutionary multi-objective optimization with interactive evolutionary computation.” Genetic and Evolutionary Computation—GECCO 2004, Proc., Genetic and Evolutionary Computation Conf., Part II, K. Deb, et al., eds., Vol. 3103, Springer, Lecture Notes in Computer Science, Seattle, 1030–1041.
Keeney, R., and Raiffa, H. (1976). Decision with multiple objectives: Preferences and value trade-offs, Wiley, New York.
Mamdani, E. H. (1974). “Applications of fuzzy algorithms for simple dynamic plant.” Proc. IEEE, 121, 1585–1588.
Mead, C. A. (1988). “Analog VLSI for auditory and vision signal processing.” Tech. Dig. - Int. Electron Devices Meet., 1998, 11–12.
Munda, G. (1993). “Multiple-criteria decision aid: Some epistemological considerations.” J. Multi-Criter. Decis. Anal., 2, 41–55.
Ohsaki, M., Takagi, H., and Ohya, K. (1998). “An input method using discrete fitness values for interactive GA.” J. Intell. Fuzzy Syst., 6, 131–145.
Reed, P., Minsker, B. S., and Goldberg, D. (2001). “A multiobjective approach to cost effective long-term groundwater monitoring using an elitist nondominated sorted genetic algorithm with historical data.” J. Hydroinformatics, 3(2), 71–90.
Reed, P., Minsker, B. S., and Goldberg, D. (2003). “Simplifying multiobjective optimization: An automated design methodology for the nondominated sorted genetic algorithm-II.” Water Resour. Res., 39(7), TNN 2.1–2.5.
Reeves, C. R. (1993). “Using genetic algorithms with small populations.” Proc., 5th Int. Conf. on Genetic Algorithms, S. Forrest ed., Morgan Kaufmmann, San Mateo, Calif., 92–99.
Roy, B. (1990). “Decision-aid and decision-making.” Readings in multiple criteria decision aid, C. A. Bana e Costa, ed., Springer, Berlin, 17–35.
Shrestha, B. P., Duckstein, L., and Stakhiv, E. Z. (1996). “Fuzzy rule-based modeling of reservoir operation.” J. Water Resour. Plann. Manage., 122(4), 262–269.
Siegel, S., and Castellan, N. J. (1988). Nonparametric statistics for the behavioral sciences, 2nd Ed., McGraw-Hill, London.
Takagi, H. (2001). “Interactive evolutionary computation: Fusion of the capabilities of EC optimization and human evaluation.” Proc. IEEE, 89(9), 1275–1296.
Thierens, D., and Goldberg, D. E. (1994). “Convergence models of genetic algorithm selection schemes.” Proc., 3rd Conf. on Parallel Problem Solving from Nature, Y. Davidor, H.-P. Schwefel, and R. Manner, eds., Springer, New York, 119–129.
Thierens, D., Goldberg, D. E., and Pereira, A. B. (1998). “Domino convergence, drift and the temporalsalience structure of problems.” Proc. IEEE Int. Conf. Evolutionary Computation, IEEE, New York, 535–540.
Vincke, P. (1992). Multicriteria decision-aid, Wiley, Chichester, U. K.
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© 2008 ASCE.
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Received: Mar 12, 2007
Accepted: Feb 22, 2008
Published online: Nov 1, 2008
Published in print: Nov 2008
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