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頁籤選單縮合
題 名 | Simplify the Fordyce-Webster Approach--The Modified Approach=Fordyce-Webster方法之簡化法 |
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作 者 | 黃士滔; | 書刊名 | 交大管理學報 |
卷 期 | 16:2 1996.12[民85.12] |
頁 次 | 頁1-17 |
分類號 | 319.9 |
關鍵詞 | 間斷性動態需求; 批量; Wagner-whitin法; Fordyce及webster法; 表解法; Discrete dynamic demand; Lot-sizing; Wagner-whitin algorithm; Fordyce and webster approach; Tabular solution approach; |
語 文 | 英文(English) |
中文摘要 | 對於間斷性動態需求的批量問題,Wagner-Whitin的動態規劃模式雖可求得最佳解,但卻是眾所公認的複雜難解,Fordyce及Webster曾於1984年提出一種完全不涉及數學模式的表解法,使得Wagner-Whitin法的求解過程變得較為簡單且易於了解,能為大眾所採用。本文則提出一種修改過的表解法(簡稱MA法),對Fordyce及Webster的表解法作一修正,不但一樣不涉及數學模式並可得到最佳解,而且在計算上比Fordyce及Webster的方法更簡化;另一方面與Fordyce及Webster方法是一樣的,本文的MA法亦可適用在各期單位儲存成本相等或不相等的情況,以及各期訂購成本相等或不相等的情況。 本文以Fordyce及Webster論文中的例子作實例比較並以電腦執行之,得到的結果證實本文的MA法比Fordyce及Webster的方法有較佳的演算效率。另外又以亂數隨機產生各期的需求及訂購成本,並假設各期單位儲存成本為1元,進行電腦模擬,結果亦顯示本文的MA法演算效率優於Fordyce及Webster的方法。 |
英文摘要 | Wagner-Whitins' dynamic programming model (1958) can get an optimal solution to the problem of lot-sizing for discrete dynamic demand. But it is a complex solving process. In 1984 Fordyce and Webster proposed a tabular solution approach (F-W approach), it does not use mathmetical model at all, to solve this problem. Their approach made the solution procedure of the Wagner-Whitin approach simpler and easier to understand, and has been widely adopted. This paper proposes a modified tabular solution approach (MA approach) to simplify the Fordyce and Webster approach. This modified approach not only never uses mathmetical model and arrives at an optimal solution but, in terms of calculation, is also much simpler that the Fordyce and Webster approach. The modified approach is similar to the Fordyce and Webster approach in that it can be applied to situations with equal or unequal unit carrying cost per period and equal or unequal setup/order cost per period. Through comparison of the modified approach and Fordyce and Webster approach, using the Case A, B, and C examples presented in Fordyce – Webster's paper (1984) to run, the results show that the computational efficiency of the modified approach is better than that of the Fordyce and Webster approach. In addition, the author compared the modified approach and the Fordyce and Webster approach using computer simulation, which the demands and ordering costs were generated from random number for each period, and assumed unit carrying cost of each period is one dollar. The results show that computational efficiency of the modified approach is superior to Fordyce and Webster approach. |
本系統中英文摘要資訊取自各篇刊載內容。