scholarly journals A Fault Tolerance Optimization Model of the China Railway Geographic Network Topological Structure

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Fenling Feng ◽  
Ziwen Tang ◽  
Lei Wang

With degree distribution characteristics of the China Railway geographic network, an optimization model from macro to micro is established on the relative entropy. Firstly, Poisson distribution of the China Railway geographic network is verified and fitted. Secondly, the “Twelfth Five-Year Plan” of the railway geographic network is chosen as an example on which a macro model is built. Finally, the “Twelfth Five-Year Plan” of Guangzhou Railway Group’s geographic network is chosen as the other example on which a micro model is built and our optimization scheme is proposed. Results reveal that, for improving the railway network fault tolerance, from the macroscopic aspect the “Twelfth Five-Year Plan” railway network should strengthen the railway agglomeration degree; then the microscopic optimization model is able to improve the fault tolerance effectively.

VLSI Design ◽  
1993 ◽  
Vol 1 (1) ◽  
pp. 61-70
Author(s):  
Walid Najjar ◽  
Pradip K. Srimani

Recently a new interconnection topology has been proposed which compares very favorably with the well known n-cubes (hypercubes) in terms of degree, diameter, fault-tolerance and applicability in VLSI design. In this paper we use a new probabilistic measure of network fault tolerance expressed as the probability of disconnection to study the robustness of star graphs. We derive analytical approximation for the disconnection probability of star graphs and verify it with Monte Carlo simulation. We then compare the results with hypercubes [4]. We also use the measures of network resilience and relative network resilience to evaluate the effects of the disconnection probability on the reliability of star graphs.


2005 ◽  
Vol 06 (01) ◽  
pp. 17-34 ◽  
Author(s):  
JIANER CHEN ◽  
IYAD A. KANJ ◽  
GUOJUN WANG

Extensive experiments and experience have shown that the well-known hypercube networks are highly fault tolerant. What is frustrating is that it seems very difficult to properly formulate and formally prove this important fact, despite extensive research efforts in the past two decades. Most proposed fault tolerance models for hypercube networks are only able to characterize very rare extreme situations thus significantly underestimating the fault tolerance power of hypercube networks, while for more realistic fault tolerance models, the analysis becomes much more complicated. In this paper, we develop new techniques that enable us to analyze a more realistic fault tolerance model and derive lower bounds for the probability of hypercube network fault tolerance in terms of node failure probability. Our results are both theoretically significant and practically important. From the theoretical point of view, our method offers very general and powerful techniques for formally proving lower bounds on the probability of network connectivity, while from the practical point of view, our results provide formally proven and precisely given upper bounds on node failure probabilities for manufacturers to achieve a desired probability for network connectivity. Our techniques are also useful and powerful for analysis of the performance of routing algorithms, and applicable to the study of other hierarchical network structures and to other network communication problems.


Author(s):  
Rob T. Aulwes ◽  
David J. Daniel ◽  
Nehal N. Desai ◽  
Richard L. Graham ◽  
L. Dean Risinger ◽  
...  

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