On The Research Of Optimization Methods And Supply Chain Design

This paper consists of two parts. The first part is concerned with quasi-Newton methods for solving unconstrained optimization problems. The second are in the field of logistics and supply chain management. In the first part we propose a modified Broyden's class methods. In the second part we study the direction and the strategy of the supply chain re-engineering, and then propose a useful method to evaluate the performance of supply chain.Firstly, we extend the idea of the modified BFGS method given by Li-Fukushima(2001) to the Broyden's class of quasi-Newton methods and develop a modified Broyden's class of quasi-Newton methods. Under certain conditions, we prove the global convergence of the modified Broyden's class of quasi-Newton methods for solving uniformly convex minimization problems.Secondly, we clearly elaborate the direction and the strategy of the supply chain re-engineering from engineering point of view. We first introduce a classification method for supply chains. From this way, we induce different kinds of supply chains, which are fit to different kinds of products. We then compare two strategies of supply chain: lean and agile. Through integration of these two strategies, we introduce the leagile supply chain and illustrated the direction of re-engineering through figures. We also introduce the concept of value net, a break in research and practice. We point out that if this strategy is correctly applied, it will definitely promote service level, working efficiency, flexibility, and enterprise competitiveness. We further list the products, which are fit for the means.To judge whether the re-engineer is success or not, we need a kind of useful method to measure the performance of supply chain. The process of choosing appropriate supply chain performance measures is difficult due to the complexity of these systems. In this paper, we illustrate a framework for the selection of performance measurement systems that can measure supply chain completely. Four types of performance measurement indexes are identified as necessary components in any supply chain performance measurement system. In view of the importance and complexity of flexibility, we expound flexibility measurement in detail. And concrete algorithms are showed through examples. This means is easily operated, and can be used in many kinds of supply chain models freely and broadly.