線性分式規劃的多項式算法

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線性分式規劃的多項式算法

文章導航 > 工程科學學報 > 1986 > 8(1): 150-155

周漢良. 線性分式規劃的多項式算法[J]. 工程科學學報, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

引用本文:

周漢良. 線性分式規劃的多項式算法[J]. 工程科學學報, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

Zhou Hanliang. A Polynomial-Time Algorithm for Liner Fractional Programming[J]. Chinese Journal of Engineering, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

Citation:

Zhou Hanliang. A Polynomial-Time Algorithm for Liner Fractional Programming[J]. Chinese Journal of Engineering, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

周漢良. 線性分式規劃的多項式算法[J]. 工程科學學報, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

引用本文:

周漢良. 線性分式規劃的多項式算法[J]. 工程科學學報, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

Zhou Hanliang. A Polynomial-Time Algorithm for Liner Fractional Programming[J]. Chinese Journal of Engineering, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

Citation:

Zhou Hanliang. A Polynomial-Time Algorithm for Liner Fractional Programming[J]. Chinese Journal of Engineering, 1986, 8(1): 150-155. doi: 10.13374/j.issn1001-053x.1986.01.030

線性分式規劃的多項式算法

doi: 10.13374/j.issn1001-053x.1986.01.030

周漢良

數學第二教研室

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- 文章訪問數: 243
- HTML全文瀏覽量: 48
- PDF下載量: 12
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出版歷程
- 收稿日期: 1985-10-08
- 網絡出版日期: 2021-11-15

A Polynomial-Time Algorithm for Liner Fractional Programming

Zhou Hanliang

摘要: Charnes-Cooper提出了一種線性分式規劃的算法。本文在此基礎上證明了線性分式規劃與一種特定的線性規劃等價。將Karmarkar算法用于該線性規劃,我們得到了線性分式規劃的多項式算法。
- 多項式算法 /
- Karmarkar主算法 /
- 嚴格內點 /
- 射影變換 /
- 滑動目標函數
Abstract: A.Charnes and W.W.Cooper presented an algorithm for liner fractional programming.We prove that the liner fractional programming is an equivalent of a certain liner programming;then we use Karmarkar algorithm for the liner programming to get the polynomial-time algorithm for liner fractional programming.
- polynomial-time algorithm /
- Karmarkar main algorithm /
- strictly interior point /
- projective transformation /
- sliding objectiv function

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PDF下載量: 12
被引次數: 0

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