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題 名 | 水庫規劃問題的位勢網絡與流量網絡模式=Potential and Flow Network Models for Reservoir Planning |
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作 者 | 劉佳明; | 書刊名 | 農業工程學報 |
卷 期 | 48:4 2002.12[民91.12] |
頁 次 | 頁30-34 |
分類號 | 443.96 |
關鍵詞 | 水資源系統; 水庫; 水庫規劃; 水庫運轉; 網絡; 流量網絡; 位勢網絡; Water resources system; Reservoir; Reservoir planning; Reservoir operations; Network; Flow network; Potential network; |
語 文 | 中文(Chinese) |
中文摘要 | 水庫規劃時所考慮的功能通常包括蓄洪、供水與貯水三種,本文討論這一類問題的線性模式與它的流量網絡與位勢網絡二種解釋。其中流量網絡是水資源系統分析的一種傳統表示方式,而位勢網絡則是作者所發現適用在上述多功能水庫模式的一種表示方式。這二種網絡不但都能以圖像表現水庫模式的變數與關係式,而且根據個別網絡結構所設計的演算法,效率都非常高,所需時間和記憶量與一般的線性規劃解法相比,僅需約百、千甚至萬分之一,分析的時期數愈多其效率愈高。 水庫規劃模式是以各時期蓄水與放水等決策變數,表示運轉下的資源限制條件與收益或成本目標函數,這些變數、限制式、目標函數在二種網絡上各有其相應的解釋,如管線流量或節點位勢值、節點流量平衡條件或管線二端點的位勢條件、流量輸送成本或位勢建構成本。水庫模式的二種解釋中,位勢網絡比較直觀而且簡單。此外,位勢網絡的應用範圍也比較廣,因為如果水庫容量或各功能的供需差額是模式的變數,流量網絡就不再適用,而位勢網絡仍然適用。因此位勢網絡相當適合上述多功能單水庫模式的分析之用。 |
英文摘要 | A linear model is formulated for a reservoir required to meet the given targets in three functions: (1) reserved flood space, (2) required water supply and (3) minimal conservation or emergency pool of water. The model can be interpreted as a problem of either one of the two networks: a traditional flow network and a proposed potential network. These network models allow efficient computations. The constraints of the models are interpreted in terms of the flows in edges or the potentials in nodes and some other parameters. Both network models visualize the reservoir operations, yet the potential network most elegantly dramatizes the supply-demand relationships of the three reservoir functions. Besides, when the unknowns of the model include the reservoir capacity or the supply shortages which induce costs, the flow network model is no more applicable while the potential network model still works well. Thus the potential network model is highly recommended for some multifunctional reservoir analysis. |
本系統中英文摘要資訊取自各篇刊載內容。