CLC number: F253.4;O224
On-line Access:
Received: 2002-11-05
Revision Accepted: 2003-02-20
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MI Xiang-jiang, WANG Xing-hua. A unified convergence theory of a numerical method,and applications to the replenishment policies[J]. Journal of Zhejiang University Science A, 2004, 5(1): 117-122.
@article{title="A unified convergence theory of a numerical method,and applications to the replenishment policies",
author="MI Xiang-jiang, WANG Xing-hua",
journal="Journal of Zhejiang University Science A",
volume="5",
number="1",
pages="117-122",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0117"
}
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%T A unified convergence theory of a numerical method,and applications to the replenishment policies
%A MI Xiang-jiang
%A WANG Xing-hua
%J Journal of Zhejiang University SCIENCE A
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%P 117-122
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0117
TY - JOUR
T1 - A unified convergence theory of a numerical method,and applications to the replenishment policies
A1 - MI Xiang-jiang
A1 - WANG Xing-hua
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 1
SP - 117
EP - 122
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0117
Abstract: In determining the replenishment policy for an inventory system, some researchers advocated that the iterative method of Newton could be applied to the derivative of the total cost function in order to get the optimal solution. But this approach requires calculation of the second derivative of the function. Avoiding this complex computation we use another iterative method presented by the second author. One of the goals of this paper is to present a unified convergence theory of this method. Then we give a numerical example to show the application of our theory.
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