| A Convergent Algorithm for Continuously Optimal Location Problem |
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| 作者姓名： | MENG Ling\|he\ \ \ SHI Zhen\|jun\ \ \ WANG Chang\|yu\ . Qingdao Educational College Qingdao China . Institute of Operations Research Qufu Normal University Qufu China . Institute of Applied Mathematics Academia Sinica B |
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| 作者单位： | MENG Ling\|he\ 1\ \ SHI Zhen\|jun\ 2\ \ WANG Chang\|yu\ 3 1. Qingdao Educational College，Qingdao 266001，China 2. Institute of Operations Research，Qufu Normal University，Qufu 273165，China 3. Institute of Applied Mathematics，Academia Sinica，B |
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| 基金项目： | The subject is supported by Natural Science Foundation of China（ No |
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| 摘 要： | １ ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｍｏｄｅｌｏｆｃｏｎｔｉｎｕｏｕｓｌｙｏｐｔｉｍａｌｌｏｃａｔｉｏｎｐｒｏｂｌｅｍｉｓ（Ｐ） ｍｉｎｘ∈Ｒｎｆ（ｘ），ｗｈｅｒｅｆ（ｘ）＝∫Ｄ（ｕ）ｙｘ－ｕｙｄｕ，ＲｎｄｅｎｏｔｅｓｔｈｅｎｄｉｍｅｎｓｉｏｎａｌＥｕｃｌｉｄｅａｎｓｐａｃｅ（ｎ２），ＤＲｎｉｓａｂｏｕｎｄｅｄＬｅｂｅｓｇｕｅｍｅａｓｕｒａｂｌｅｓｅｔａｎｄｉｔｓｍｅａｓｕｒｅ｜Ｄ｜＞０，（ｕ）＞０ｉｓａｂｏｕｎｄｅｄｉｎｔｅｇｒａｌｆｕｎｃｔｉｏｎ．Ｉｔｉｓｊｕｓｔｓｉｍｉｌａｒｔｏ…
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A Convergent Algorithm for Continuously Optimal Location Problem |
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| MENG Ling\|he\ \ \ SHI Zhen\|jun\ \ \ WANG Chang\|yu\ . Qingdao Educational College,Qingdao ,China . Institute of Operations Research,Qufu Normal University,Qufu ,China . Institute of Applied Mathematics,Academia Sinica,B.A Convergent Algorithm for Continuously Optimal Location Problem[J].Journal of Systems Science and Systems Engineering,1999(3). |
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| Authors: | MENG Ling\|he\ \ \ SHI Zhen\|jun\ \ \ WANG Chang\|yu\ Qingdao Educational College Qingdao China |
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| Institution: | MENG Ling\|he\ 1\ \ SHI Zhen\|jun\ 2\ \ WANG Chang\|yu\ 3 1. Qingdao Educational College,Qingdao 266001,China 2. Institute of Operations Research,Qufu Normal University,Qufu 273165,China 3. Institute of Applied Mathematics,Academia Sinica,B |
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| Abstract: | In this paper, the continuously optimal location problem is considered. The strong convexity of the objective function, the Lipschitz continuity of the gradient of the objective function are proved. Furthermore, a variant of conjugate gradient method for continuously optimal location problem is presented and its global convergence is analyzed. |
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| Keywords: | continuously optimal location problem variant of conjugate gradient method steplength global convergence |
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