Dynamic programming and estuarine water quality control
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AN OPTIMIZATION ALGORITHM THAT ALLOWED ONE TO CONSIDER MULTIDIMENSIONAL WATER QUALITY MODELS, AREA GROWTH AND VARIOUS CONTROL OR DECISION ALTERNATIVES FOR THE GALVESTON BAY SYSTEM WAS DEVELOPED. THE PROBLEMS WERE FORMULATED AS ALLOCATION PROBLEMS AND WERE SOLVED USING DYNAMIC PROGRAMMING. THE SOLUTION TO THE ALLOCATION OF RESOURCES PROBLEM OF MINIMIZING (OR MAXIMIZING) A GIVEN SCALAR VALUED FUNCTION OF THE POSITIVE N-VECTOR W SUBJECT TO CONSTRAINTS UPON THE USE OF THE RESOURCES WAS OBTAINED BY SOLVING THE LANGRANGIAN PROBLEM FOR A GIVEN SET OF LANGRANGIAN MULTIPLIERS CONTROL OR DECISION VARI GENERAL DETERMINISTIC WATER QUALITY PROBLEM WAS FORMULATED TO MINIMIZE COST OF WASTE TREATMENT AND OF DISTRIBUTION SUBJECT TO CONSTRAINTS ON QUALITY AND TO CONSTRAINTS ON THE MAXIMUM AMOUNT OF WASTE TO BE DISCHARGED. TO ILLUSTRATE THE ALGORITHM THE SIMPLEST PERMISSIBLE MODEL WAS USED. STOCHASTIC EFFECTS AND THE USE OF A TWO-DIMENSIONAL MODEL WERE INCLUDED. DATA FROM THE TRACOR REPORT ON GALVESTON BAY WERE SELECTED IN ORDER TO SIMULATE, TO SOME EXTENT, THE WATER QUALITY OF THE HOUSTON SHIP CHANNEL. THE DISSOLVED OXYGEN DEFICIT RESULTING FROM THE COMPLETE DISCHARGE OF THE WASTES WAS SHOWN . (KRISS-CORNELL)