0/1 Knapsack Problem

0/1 Knapsack Problem

Optimize value within weight constraints using dynamic programming for resource allocation.

Family: Dynamic Programming Status: ✅ Complete

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Overview

The 0/1 Knapsack problem is a fundamental optimization problem in computer science. Given a set of items,

each with a weight and value, determine the maximum value that can be obtained by selecting items such that the total weight does not exceed a given capacity.

This problem is a classic example of dynamic programming and has applications in resource allocation, portfolio optimization, and cutting stock problems.

Complete Implementation

The full implementation with error handling, comprehensive testing, and additional variants is available in the source code:

• Main implementation file: src/algokit/algorithms/dynamic_programming/knapsack.py

• Test suite: tests/dynamic_programming/test_knapsack.py

Navigation

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