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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (1): 117-122    DOI: 10.1631/jzus.2004.0117
Mathematics     
A unified convergence theory of a numerical method,and applications to the replenishment policies
MI Xiang-jiang, WANG Xing-hua
Department of Mathematics, Zhejiang University, Hangzhou 310028, China
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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.

Key words： Inventory      Shortages      Deterioration      Zero of derivative      Iteration      Optimization theory     
Received: 05 November 2002     
CLC:  F253.4  
  O224  
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MI Xiang-jiang, WANG Xing-hua. A unified convergence theory of a numerical method,and applications to the replenishment policies. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(1): 117-122.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0117     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I1/117

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