knapsack-problems

Solve 0/1, bounded, unbounded, multidimensional, and multiple knapsack problems.

56|16|Updated Oct 18, 2025
One-click install
npx skills add https://github.com/kishorkukreja/awesome-supply-chain --skill knapsack-problems
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: knapsack-problems
Source: https://github.com/kishorkukreja/awesome-supply-chain/tree/main/skills/knapsack-problems
Command: npx skills add https://github.com/kishorkukreja/awesome-supply-chain --skill knapsack-problems

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires pulp, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill helps you solve complex optimization problems where you need to select a subset of items to maximize value within given constraints, such as weight or volume limits.

Core Features & Use Cases

  • Problem Variants: Solves 0/1, Bounded, Unbounded, Multidimensional, and Multiple Knapsack problems.
  • Algorithm Options: Offers Dynamic Programming, Branch and Bound, and Greedy approximations.
  • Use Case: A logistics company needs to load a truck with the most valuable combination of goods, given the truck's weight and volume capacity. This Skill can determine the optimal selection of items.

Quick Start

Use the knapsack-problems skill to solve a 0/1 knapsack problem with a capacity of 50, given item values [60, 100, 120] and weights [10, 20, 30].

Frequently Asked Questions about knapsack-problems

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I optimize resource allocation when selecting items for cargo loading under weight and volume limits?

To optimize resource allocation under capacity constraints, you need to solve a multidimensional knapsack problem. This Skill selects the optimal subset of items to maximize total value while respecting physical limits like weight and volume.

Can I solve a 0/1 knapsack problem using dynamic programming in Python?

Yes, you can solve a 0/1 knapsack problem using dynamic programming. This Skill applies dynamic programming, branch and bound, and greedy algorithms to maximize item value based on provided weights and capacities.

What is the best way to handle unbounded knapsack variants for operations research?

The best way to handle unbounded knapsack variants in operations research is using specialized optimization algorithms. This Skill solves unbounded problems alongside bounded, multidimensional, and multiple knapsack configurations.

Does this knapsack optimization solution require PuLP to run?

Yes, this knapsack optimization solution requires the PuLP library as a dependency. You must have PuLP installed in your Python environment to formulate and solve the resource allocation constraints.

When should I use a greedy approximation instead of dynamic programming for a knapsack problem?

You should use a greedy approximation instead of dynamic programming when dealing with large-scale knapsack problems where exact solutions become computationally expensive. Greedy algorithms provide faster, approximate value maximization under capacity constraints.