Network SPoF Detection via Hilbert Curve Mapping
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Solution Overview
Problem
Computer networks face inefficiencies in identifying and mitigating single points of failure (SPoFs) due to the computational complexity of checking cable pairs, which can lead to complete connectivity compromise despite redundancy, especially when cables are proximally damaged.
Innovation Solution
A system and method that map network cables to polylines on a cube, using a Hilbert curve to reduce computational complexity from O(n^2) to O(n) by converting geographic locations to cells and detecting overlapping intervals to identify potential SPoFs, allowing for efficient detection and mitigation of SPoF regions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional cable pair checking methods are used to identify SPoFs, then detection accuracy is maintained, but computational complexity increases to O(n^2)
Solution Approach 1:
The patent segments the network cable infrastructure into discrete cable pairs and assigns each to a specific geographic region or route. This segmentation allows the system to process cable pairs independently and efficiently, reducing the overall computational complexity from checking all possible cable pairs (O(n^2)) to a more scalable approach that processes segments in parallel or sequentially without requiring full pairwise comparisons.
Solution Approach 2:
The patent introduces a geographic dimension to the SPoF analysis by mapping cable routes to geographic coordinates and regions. This dimensional transformation from abstract cable pair checking to spatial-based analysis enables more efficient computation, as geographic proximity and regional characteristics can be leveraged to identify SPoFs without exhaustive checking of all cable combinations.
2Reliability
If redundant cable paths are implemented across different geographical routes, then network reliability is improved, but the risk of simultaneous failure increases when cables are in close proximity
Solution Approach 1:
The patent introduces geographic region analysis as an intermediary layer between cable infrastructure and failure risk assessment. By analyzing the geographic proximity of cable pairs and identifying regions where multiple cables are close together, the system can mediate the risk assessment process, allowing network operators to understand and mitigate simultaneous failure risks without compromising the redundancy benefits of geographically diverse routing.
Solution Approach 2:
The patent implements a feedback mechanism that continuously monitors and analyzes cable pair configurations, geographic locations, and risk factors. This feedback loop enables the system to identify SPoFs and provide recommendations for route optimization or additional protective measures, allowing the network to adapt to changing conditions and maintain reliability while managing proximity-related risks.
3Reliability
If comprehensive SPoF analysis is performed on all cable pairs, then detection completeness is improved, but processing time increases significantly
Solution Approach 1:
The patent performs preliminary actions by pre-processing cable configuration data, geographic location information, and risk assessments before actual SPoF analysis is needed. This includes pre-mapping cable routes to geographic coordinates, pre-identifying high-risk regions, and pre-establishing evaluation criteria. Such preliminary preparation significantly reduces processing time during actual analysis while maintaining detection completeness.
Solution Approach 2:
The patent applies partial action by focusing SPoF analysis on the most critical and high-risk cable pairs rather than treating all cable pairs uniformly. By prioritizing analysis based on geographic proximity, cable importance, and risk factors, the system achieves detection completeness for the most vulnerable segments while reducing overall processing time through selective rather than exhaustive analysis.
Data Source
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AI summary
Systems and methods of evaluating single points of failure in a computer network are provided. The system includes a processor configured to receive at least two polylines approximating respective network spans. For each point in a set of points representing geographic locations, the processor can determine a level of risk that an event at the point will affect at least the two polylines. The processor can determine an overall risk of failure by combining the level of risk for each point in the set of points. The processor can output a report indicating at least one point determined to be a potential SPoF based on the level of risk for the at least one point.