B+ Tree Insert Optimization via Sector-Aligned Node Segmentation

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Solution Overview

Problem

The existing B+ tree data structure implementations face performance costs and contention issues due to costly transactions and I/O operations, particularly in ensuring ACID properties and managing virtual to physical address mappings efficiently.

Innovation Solution

The method involves optimizing the B+ tree data structure by ensuring each node is not larger than the sector size of the persistent storage, maintaining key-value entries in an unsorted order, and intermittently flushing free space management structures to reduce I/O operations and transaction log contention, while ensuring atomicity and consistency through sector-level updates.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If transactions are used to guarantee ACID properties in B+ tree updates, then consistency and reliability are improved, but I/O operations and transaction log contention increase

Engineering Contradiction:
ImproveACID property guaranteeVSAvoidI/O operation count
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent segments the B+ tree nodes to fit within storage sectors, allowing atomic sector-level updates. This segmentation enables the system to update individual sectors without requiring full transaction logs, thereby reducing I/O operations while maintaining ACID properties through the atomicity of sector writes.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the update mechanism from transaction-log-based to sector-append-based. By modifying the fundamental parameter of how updates are recorded (from incremental transaction logs to complete sector writes), the system reduces transaction log contention and I/O operations while preserving data integrity through the immutable nature of appended sectors.

Inventive Principle:
Principle #35Parameter changes

2Speed

If B+ tree nodes are maintained in sorted order, then search efficiency is improved, but insert operations require more I/O and restructuring

Engineering Contradiction:
Improvesearch efficiencyVSAvoidinsert operation performance
Core Design Contradiction:
SpeedVSProductivity

Solution Approach 1:

The patent performs preliminary sorting of key-value pairs within each sector before writing to storage. By pre-sorting the data within the sector boundary before the append operation, the system maintains search efficiency without requiring post-insert restructuring, thereby improving insert operation performance while preserving sorted order for searches.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent applies sorting only within individual sectors rather than across the entire B+ tree. This partial sorting approach maintains search efficiency within each sector while avoiding the costly global restructure operations that would be required to maintain sorted order across the entire tree, thus improving insert performance.

Inventive Principle:
Principle #16Partial or excessive action

3Reliability

If free space management is frequently updated to maintain accuracy, then data consistency is improved, but I/O operations and system overhead increase

Engineering Contradiction:
Improvefree space management accuracyVSAvoidsystem overhead
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent implements periodic flushing of the free space management structure to persistent storage rather than continuous updates. By flushing at intervals rather than after every allocation/deallocation operation, the system maintains accurate free space tracking while significantly reducing I/O operations and system overhead associated with frequent persistent storage writes.

Inventive Principle:
Principle #19Periodic action

Solution Approach 2:

The patent maintains free space management information in volatile memory and only flushes to persistent storage when necessary. This preliminary tracking in fast memory allows the system to maintain accurate free space accounting without the overhead of frequent persistent storage operations, reducing I/O while preserving data consistency.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS8700670B2Insert optimization for B+ tree data structure scalability
Publication Date: 2014.04.15 ARCTERA US LLC
  • US8700670B2 patent drawing
  • US8700670B2 patent drawing
  • US8700670B2 patent drawing

AI summary

A method, in one embodiment, can include receiving a key and associated data via a computing device. Furthermore, the method can include searching a B+ tree data structure using the key to find a leaf node. The B+ tree data structure is stored by a persistent storage coupled to the computing device. The B+ tree data structure can include a first plurality of nodes that each contains a key-value entry that is not maintained in a sorted order based on its key. In addition, the key and associated data are appended to the leaf node. A sector that includes the leaf node and the key and associated data can be flushed to the persistent storage.