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《Industrial Engineering and Management》 2005-04
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Expected Value Model for Stochastic Network Bottleneck Capacity Expansion

WU Yun ~(1,3),ZHOU Jian ~(2 ),YANG Jun ~(1) (1. College of Management, Huazhong University of Science and Technology, Wuhan 430077, China; 2. Department of Computer Sciences, University of Angers, France; 3. College of Management, Wuhan University of Technology, Wuhan 430077, China)  
In this paper, how to increase the capacities of the elements in a set E(Edge) efficiently is considered, so that the total cost for the increment of capacity can be decrease to maximum extent while the final expansion capacity of a given family F of subsets of E is with a given limit bound. Suppose the cost w is a stochastic variable according to norm distribution, the network bottleneck capacity expansion problem with stochastic cost is originally formulated as expected value model following some criteria. For solving the stochastic model efficiently, network bottleneck capacity algorithm, stochastic simulation and genetic algorithm are integrated to produce a hybrid intelligent algorithm. Finally, a numerical example is presented.
【Fund】: 国家自然科学基金资助项目(70071011)
【CateGory Index】: O211.67
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Chinese Journal Full-text Database 2 Hits
1 WANG Hong\|guo\ MA Shao\|han ( Dept. of Computer Science,Shandong Univ.,Jinan 250100,China);THE CAPACITY EXPANSION PROBLEM ON DIRECTED NETWORKS[J];Applied Mathematics A Journal of Chinese Universities;2001-04
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Chinese Journal Full-text Database 9 Hits
1 ZHANG Gang-ting,JIANG Xiao-bing,WANG Shu-zhen (1. Department of Computer Science, Xi’an University of Arts and Science Xi’an 710065; 2. School of Economics & Management, Xidian University Xi’an 710071);Research on Network Max-flow Pareto Expansion Problem[J];Journal of University of Electronic Science and Technology of China;2006-01
2 WU Yun~(1,3),ZHOU Jian~2,YANG Yang~1(1. School of Management, Wuhan University of Technology,Wuhan 430077,China;2. Department of Computer Sciences , University of Angers,Angers France;3. School of Management , Huazhong Universtiy of Science and Technology,Wuhan 430077,China);A Chance-constrained Model and Intelligent Algorithm for Stochastic Network Bottleneck Capacity Expansion[J];Systems Engineering;2005-04
3 WU Yun1,LIN Yi2,ZHOU Jian31.College of Management,Wuhan University of Technology,Wuhan 430073,China;2.College of Chemistry and Molecular Sciences,Wuhan University,Wuhan 430072,China;3.Department of Computer Sciences,University of Angers,France;Chance-constrained programming model for network expansion[J];Journal of Management Sciences in China;2007-02
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6 WANG Hong-guo,MA Shao-han (Computer Department of Shandong University,Jinan 250100,Shandong,China);SOME SPECIAL CAPACITY EXPANSION PROBLEM ON UNDIRECTED NETWORK[J];Journal of Shandong University(Natural Science Edition);2001-01
7 WANG Qing-hai,YANG Chao,WENG Ke-rui(School of Management,HUST,Wuhan 430074,China);On Road Network Expansion Based on Cost-benefit Equilibrium[J];Logistics Technology;2007-04
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9 WU Yun~1,ZHOU Jian~2,YANG Jun~1(1.College of Management,Huazhong University of Science and Technology,Wuhan 430074,China; 2.Department of Computer Sciences,University of Angers,France);Dependent-Chance Programming Model for Stochastic Network Bottleneck Capacity Expansion[J];Chinese Journal of Management Science;2004-06
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