April  2005, 1(2): 251-273. doi: 10.3934/jimo.2005.1.251

A network simplex algorithm for simple manufacturing network model

1. 

School of Science, Xian Jiaotong University, Xian, Shanxi, 710049, China

2. 

Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong, China

3. 

School of Mathematics and Information Science, Guangxi University, Guangxi, 53004, China

Received  June 2004 Revised  December 2004 Published  April 2005

In this paper, we propose a network model called simple manufacturing network. Our model is a combined version of the ordinary multicommodity network and the manufacturing network flow model. It can be used to characterize the complicated manufacturing scenarios. By formulating the model as a minimum cost flow problem plus several bounded variables, we present a modified network simplex method, which exploits the special structure of the model and can perform the computation on the network. A numerical example is provided for illustrating our method.
Citation: Jiangtao Mo, Liqun Qi, Zengxin Wei. A network simplex algorithm for simple manufacturing network model. Journal of Industrial & Management Optimization, 2005, 1 (2) : 251-273. doi: 10.3934/jimo.2005.1.251
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