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題名 | 投資計畫選擇之多目標啟發式解法 |
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作者姓名(中文) | 鄧振源; 曾國雄; | 書刊名 | 交大管理學報 |
卷期 | 11:1 1991.12[民80.12] |
頁次 | 頁131-156 |
分類號 | 494.75 |
關鍵詞 | 投資計畫; |
語文 | 中文(Chinese) |
中文摘要 | 本文提出有效距離之啟發式解法,以求解具有多目標與多資源限制之投資計畫選擇問題。此類問題屬於0-1型多目標多次元背包問題,由於具NP完備性之特性,可能無法構建一正確有效之解法,鑑此,本文提出有效之啟發式解法以求解此類問題。在每一次求解過程中,分別求取每一投資計畫在目標空間之目標達成有效距離與資源空間之資源使用有效距離,再將期望獲利指標(Greedy Index of the Profitability)為最大之投資計畫加以選取,直至不能滿足資源限制為止。本文所提出之方法計算簡單且易於使用,同時可對選取之投資計畫加以排序。最後本文以一運輸投資計畫選擇之數值例,說明所研提方法之有效性。 |
英文摘要 | This paper presents a new heuristic algorithm, the effective distance method, for investment project selection problems with multiple objectives and multiple resource constraints. These problems can be formulated in terms of the 0-1 multiobjective multidimensional knapsack problems. In view of the NP-completeness of these problems, this paper proposes an efficient heuristic algorithm for its solutions. In each procedure, the heuristic algorithm we present attempts to attain the effective distance of objective achievement of every investment project in objective space, achieve the effective distance of resource utilization in resource space, and then select the investment project with the largest greedy index of profitability until it can not satisfy the resource constraints. The heuristic algorithm developed in this paper is computationally simple and easily implemented. In addition, it can rank selected investment projects. Finally, a numerical example of transportation investment project selection is presented to illustrate the method. |
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