What is the motivation for using B+trees and B-trees to access data items stored on a hard drive compared to 2-3 trees or AVL trees?

Question

BlackTom AI · Accepted Answer

First, let's restate the problem to ensure clarity: the question asks why B+-trees and B-trees are preferred for data access on hard drives over 2-3 trees or AVL trees.
Option 1: 'They are better for random access than sequential access of items.' This is misleading. B-trees and their variants are designed to minimize disk I/O by broadening nodes, which reduces the number of disk seeks, but saying they are inherently better for random access than sequential access is an oversimplification. In practice, the access pattern (random vs sequential) matters less than the number of disk reads; both structures aim to reduce the number of disk accesses regardless of access pattern.
Option 2: 'They are more compact in memory size' While in-memory compactness can be advantageous, the primary motivation for B-trees is not memory footprint when data resides on disk. On disk, the dominant cost is disk I/O, not in-memory size, so this option misses the central rationale.
Option 3: 'They have faster insertion.' Insertion speed is not the main reason for their use on disks. B-trees optimize for minimizing disk I/O during searches, insertions, and deletions by keeping nodes large and balanced. In-memory insertion speed of AVL or 2-3 trees does not directly translate to disk-based efficiency; disk access patterns dominate performance, so this claim is not the core justification.
Option 4: 'The high branching factor results in fewer expensive disk accesses.' This statement targets the key architectural advantage: by having many keys per node (high branching factor), the height of the tree is kept low, which means that fewer nodes must be read from disk during operations. Since disk I/O is costly, reducing the number of accesses is the primary performance driver for using B+ and B trees on disk-backed storage. This aligns with the established rationale for these data structures in database and file-system contexts.
Thus, option 4 correctly identifies the main motivation: reducing the number of expensive disk accesses through a high branching factor, which lowers tree height and improves I/O efficiency.

What is the motivation for using B+trees and B-trees to access data items stored on a hard drive compared to 2-3 trees or AVL trees?Single choice

Similar Questions

This question has been regraded. Which of the following is not a property of a B-tree?

Which of the following are properties of B-trees? (check all that apply)

For stock A, we have 𝛽 𝑖 = 0.70. Suppose the expected market risk premium next year is 9% and the risk-free rate is 3%. What is the expected return of this stock based on the CAPM? (Please answer in % and round to 2 decimal places. If the answer is 8.057%, then in the box, write 8.06)

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler