Several optimization procedures have been proposed for the analysis of complex water resource planning problems. One of these techniques, dynamic programming, has been limited in its applicability to river basin systems, because these systems are nonserial and dynamic programming is by nature a serial procedure. Recently developed methods are discussed and illustrated with example problems for decomposing the nonserial river basin system into equivalent serial systems amenable to analysis by the dynamic programming method.
In water planning activities, major emphasis has been placed on the development of procedures for devising “optimum plans.” These plans are defined as those which meet prespecified demands for water at “minimum cost.” However, all plans are developed subject to postulated conditions regarding the state of the physical system and of nature. Because planning takes place in a dynamic and uncertain environment in which postulated conditions are known to change, it is imperative that the planner be apprised in the planning phase of the effect of changes which can occur. Using “this information, a planner can temper his judgment with a knowledge of the effect of the uncertainty resulting from changes in the system state variables. This paper presents results of the use of a computer simulation and optimization model to quantify possible variations in system response which could occur as a result of uncertainty in the postulated physical and economic conditions under which the proposed water development system was to perform. The possible effects of these variable responses on planning decision‐making is discussed.
The authors wish to express their appreciation to Loucks [1968] for his constructive criticism of their recent paper [Meier and Beightler, 1967]. Loucks' comment correctly interprets the authors' enthusiasm for dynamic programming and its usefulness in water resource analysis. The authors believe that dynamic programming OWRR GRANT B-024-TEX and FWPCA GRANT WP-01186-01. The authors wish to ex-press their appreciation to Robert W. Lawless for his assistance in preparation of this reply.
This paper will present a total water quality-quantity management approach which has incorporated the costs of water pollution control and water treatment, the benefits of water-based activities, and the trade-off between low flow augmentation and water quality improvement in its consideration. The analytical framework is based on the decomposition procedures provided by dynamic programming within which the optimal management plans are developed.
(KEYTERMS: systems analysis; optimization; dynamic programming; river basin management; economic trade-off; flow augmentation; quality management) Shih, C. S. 1970. System optimization for river basin water quality management. J. Water Pollution Control Texas Water Development Board. 1970. Qual-1, Simulation of water quality in streams and canals. Techni-Ress. Ress. more: Johns Hopkins Ress. Civil Engrs., 96(SA2). Federation, 42(10): 1792-1 804.cal Report.
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