Abstract
Cost-effective control alternatives are selected by composite programming /an extension of compromise programming/ in order to find a trade-off among objectives or groups of criteria usually facing watershed management or observation network design: economic criteria /agricultural revenue and investment/, environmental criteria /yields of sediment and nutrient/, and hydrologic criteria /water yield/. Composite programming provides a two-level tradeoff analysis: first with different-L-norms within the criteria, then again with a different L norm among the three objectives.
An example of six interconnected watersheds draining into a multipurpose /water supply and recreation/ reservoir and a network design problem of aquifer parameters illustrate the methodology.
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References
Zeleny, M., Compromise Programming in Multiple Criteria Decision Making, M.K. Starr and M. Zeleny eds., Univ. of South Carolina Press, 101, 1973
Gershon, M.E., Model Choice in Multiobjective Decision Making in Water and Mineral Resource Systems, Technical Reports, The University of Arizona, Tucson, Arizona, 85721, 155, 1981.
BogArdi, I. and A. Bardossy, Network design for the spatial estimation of environmental variables, Applied Math. and Comput, 12, 339, 1983.
Miller, W.L. and D.M. Byers, Development and display of multiple objective projects impacts,,Water Resour. Res., 9 /4/, 11, 1973.
Das, P. and Y.Y. Haimes, Multiobjective optimization in water quality and land management, Water Resour. Res.
/, 1313, 1979.
Boga.rdi, I., David, L. and L. Duckstein, Trade-off between cost and effectiveness of control of nutrient loading into a waterbody, Research Report, RR-83–19, IIASA, Laxenburg, Austria, July 1983.
Williams, J.R. Sediment yield prediction with universal equation using runoff energy factor, Agr.Res.Serv., ARS-S-40, USDA, Washington D.C., 244, 1975.
Bârdossy, A., Bog.rdi, I, and L. Duckstein, Accuracy of sediment yield calculation, Working paper, Tiszadata, Budapest, 1984.
Soil Conservation Service, National Engineering Handbook, Section 4, Hydrology, USDA, Washington D.C., 1971.
Bogdrdi, I. and A. Bdrdossy, A concentration model of P stemming from agricultural watersheds, Research Report /in Hungarian/, Tiszadata, Budapest, 1984.
Volpi, G., G. Gambolati, L. Carbognin, P. Gatto and G. Mozzi, Groundwater contour mapping in Venice by stochastic interpolators, Water Resour. Res., 15 /2/, 291, 1979.
Matheron, G., Les variables régionalisées et leur estimation, 306, Masson, Paris, 1967.
Dunford, N. and J.T. Schwartz, Linear Operators Part I., Interscience Publisher, New York, 358, 1976.
Freimer, M. and P.I. Yu, Some new results on compromise solutions for group decision problems, Management Science, 22 /6/, 688, February 1976.
Yu, P.L. and G. Leitmann, Compromise Solutions, Domination Structures, and Szlukyadze’s Solution, in Multi-criteria Decision Making and Differential Games, edited by G. Leitmann, Plenum Press, New York, 85, 1976.
Duckstein, L. and S. Opricovic, Multiobjective optimization in river basin developments, Water Resour. Res., 16 /1/, 14, 1980.
Wilde, D.J. and C.S. Beightler, Foundations of Optimization, Prentice-Hall, Inc., 480, 1967.
B6rdossy, A., Mathematics of composite programming, Working paper, Tiszadata, Mik6 u. 1. 1012. Budapest, Hungary, 1984.
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Bárdossy, A., Bogárdi, I., Duckstein, L. (1985). Composite Programming as an Extension of Compromise Programming. In: Serafini, P. (eds) Mathematics of Multi Objective Optimization. International Centre for Mechanical Sciences, vol 289. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2822-0_15
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DOI: https://doi.org/10.1007/978-3-7091-2822-0_15
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