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On the Research of Optimization Methods and Supply Chain Information Management

Author: ZhaoPeiZuo
Tutor: LiDongHui
School: Hunan University
Course: Computational Mathematics
Keywords: Partially separable non- convex minimization problem MBFGS method Global Convergence Electronic Data Interchange Internet EDI Value Added Network Mobile Commerce Wireless Application Protocol
CLC: O242.23
Type: Master's thesis
Year: 2005
Downloads: 280
Quote: 1
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Abstract


BFGS algorithm is considered for solving numerical optimization problem of quasi-Newton algorithm is the best one. The algorithm has good global and local convergence. Since BFGS algorithm produces a matrix is ??generally dense, so when it is used to solve large-scale optimization problems requires the use of certain sparse skills. Toint (1981) proposed to solve partially separable convex function minimization of partially separable BFGS algorithm. A key feature of this algorithm is the algorithm to generate a matrix sequence to maintain the objective function Hessian matrix is ??a block with a similar horned sparse matrix. When the elements of the objective function to meet the convexity assumptions, Toint (1982) prove that this algorithm has local convergence. If the above algorithm introduced Wolfe-Powell-type search, Toint (1986) proved the global convergence of the algorithm. One of the main results of this paper is Li-Fukushima (2001) proposed amendments BFGS (MBFGS) algorithm is proposed based on solving partially separable non-convex function minimization of a modified BFGS algorithm. Algorithm uses symmetric positive semi-definite matrix as the Hessian matrix elements of the objective function approximation, making its objective function and remain some Hessian matrix sparsity. Another important property of this algorithm are: approximation algorithm to generate Hessian matrix of the objective function remain symmetric positive definite matrix sequence. Under mild conditions, we prove the global convergence of the algorithm. This result can be regarded as Toint (1986) proposed the promotion of sub-block BFGS algorithm. Another study of this paper is to examine the contents of the logistics and supply chain management. Our core technologies of e-commerce EDI old and new modes: direct special type EDI, the VAN-based EDI, Internet-based EDI (Internet Mail, Standard IC, Wed-EDI, XML / EDI) conducted a detailed comparison, in-depth research and extensive explore; thus for EDI domestic and international profile and prospects for the development of systems analysis and outlook. We systematically analyzed the turn of the century from e-commerce to mobile commerce and its far-reaching structural changes affecting; and mobile commerce in the 21st century as a new opportunity for global development: the main driver of the new economy; acceleration of economic globalization, an important reason for ; promote the globalization of trade important content; accelerate effective means of financial globalization, a detailed, in-depth study; thus compete for mobile commerce as a sustainable economic development in the 21st century the commanding heights of comprehensive combat challenges facing: Technology, Services and environmental protection in-depth analysis and study; Finally, the prospects for the development of mobile commerce conducted a positive outlook.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Mathematical modeling, approximate calculation > Approximate calculation > Newton - La Fusen ( Newton -Raphson ) method
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