task-assignment-problem

Solve assignment problems matching workers to tasks with capacity and skill constraints.

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

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires numpy, scipy, pulp, pandas, ortools, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill solves complex problems of optimally assigning workers to tasks, resources to jobs, or any matching problem to minimize costs or maximize efficiency.

Core Features & Use Cases

  • Linear Assignment: Solves one-to-one assignments using the Hungarian algorithm for optimal cost.
  • Generalized Assignment: Handles scenarios where one worker can perform multiple tasks, considering capacity constraints.
  • Skill-Based Matching: Ensures assignments are made only to workers with the required skills.
  • Use Case: Assigning sales representatives to leads based on territory, skill, and workload to maximize conversion rates.

Quick Start

Use the task-assignment-problem skill to find the optimal assignment for 10 workers to 10 tasks given a cost matrix.

Frequently Asked Questions about task-assignment-problem

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

FAQPage Schema
How do I optimally assign workers to tasks to minimize costs?

To optimally assign workers to tasks and minimize costs, you can solve the assignment problem using the Hungarian algorithm for one-to-one matching or MIP solvers for complex scenarios. This approach handles capacity and skill constraints to maximize resource allocation efficiency.

What is the difference between linear and generalized assignment problems?

Linear assignment solves one-to-one worker-task matching for optimal cost using the Hungarian algorithm, whereas generalized assignment allows one worker to perform multiple tasks simultaneously while explicitly considering capacity constraints to optimize overall resource allocation.

How do I match sales representatives to leads based on territory and workload?

You can match sales representatives to leads by formulating a skill-based assignment problem that maximizes conversion rates. The optimization evaluates territory, specific skills, and current workload constraints to find the most efficient resource allocation.

Can I use OR-Tools and PuLP for workforce management optimization?

Yes, you can use OR-Tools and PuLP for workforce management optimization. These dependencies provide MIP solvers that handle generalized and skill-based assignment scenarios, addressing multiple objectives and capacity constraints for efficient resource allocation.

How do I handle skill constraints when allocating resources to jobs?

To handle skill constraints when allocating resources to jobs, you can use skill-based matching algorithms that ensure assignments are made only to workers with the required skills. This prevents unqualified allocations while still optimizing for cost and capacity constraints.

When should I use the Hungarian algorithm instead of a MIP solver for resource allocation?

You should use the Hungarian algorithm for linear, one-to-one resource allocation problems without capacity constraints, whereas MIP solvers are necessary for generalized assignment scenarios where workers handle multiple tasks with capacity and skill constraints.