The development of a system capable of distributing water, without shortages or surpluses, to each terminal in a down-stream region is a topic of interest in the context of open channel waterway systems, in which the water demand for agriculture fluctuates considerably. In this study, the optimal combination of inflow amount to the upstream side of the check gate of the main open channel from the pipeline was attempted to be determined for a double-waterway system, in which the pipeline is constructed along the main canal of the long open channel. A type of conjugate gradient method called the Davidon–Fletcher–Powell method was embedded into an unsteady flow program for the open channel, and four types of evaluation functions for water diversion and water level, which incorporate a penalty function corresponding to surplus water and volume of inflow, were introduced to evaluate the degree of achievement with respect to the objective. The effectiveness of the evaluation function was investigated, and the results demonstrated that the inflow stabilized in the order of water diversion < water level < water level + water diversion < water level + surplus water; irrespectively, a favorable result was obtained from each of the evaluation functions. Therefore, the double-waterway system is an ideal system in which the open channel and the pipeline mutually overcome the limitations of each other, and the system is capable of managing the demand fluctuation at the terminals.
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