Cardinal Optimizer (COPT) incorporates a full suite of solvers for linear and convex quadratic mixed-integer programming. It ranks at the top of benchmark tests on continuous linear programs, and has been fully extended to handle integer variables.
Linear and convex quadratic optimization in continuous and integer variables.
For continuous problems, primal and dual simplex, interior-point (barrier); for integer problems, branch-and-bound with presolve, feasibility heuristics, and cut generators.
COPT for AMPL is a specialized version of the solver, designed exclusively for use within the AMPL environment. It includes key enhancements that make the solver even more powerful, allowing it to handle larger, more complex optimization problems with greater efficiency and speed.
COPT for AMPL is more than just a solver—it’s an enhanced optimization experience. AMPL provides a purpose-built solver interface that allows COPT to handle large-scale mathematical optimization problems with greater efficiency and scalability. By leveraging AMPL’s modeling language, users gain faster insights, improved workflow efficiency, and a better return on their solver investment, all while maintaining the flexibility and power of COPT.
AMPL’s solver interface optimizes problem structures before they reach the solver, reducing computation time and improving efficiency. By intelligently restructuring mathematical programs, AMPL allows COPT to solve complex models faster and more effectively, making it easier to tackle large-scale decision-making challenges across multiple industries.
One of AMPL’s key advantages is its ability to automatically reformulate problems into solver-friendly formats. This ensures that even highly complex models are structured in a way that COPT can process more efficiently, avoiding bottlenecks and improving convergence speed. Whether handling logical constraints, simplifying expressions, or restructuring large-scale models, AMPL ensures optimal solver performance.
To help users get the most out of COPT, AMPL offers consulting services and dedicated support plans for solver tuning and model optimization. Our experts provide solver diagnostics, advanced tuning, and optimization strategies to improve computation times and solver performance. Whether refining a problem formulation or troubleshooting solver behavior, AMPL’s specialized services ensure users achieve the best possible results with COPT.
Access this world-class solver in the AMPL License Portal, available on Windows, Linux, and macOS
COPT can be used with AMPL from various programming languages using our dedicated APIs
For Python enthusiasts, COPT is also accessible as a module with amplpy, blending seamlessly with your Python projects.
How to install using amplpy:
# Install Python API for AMPL:
$ python -m pip install amplpy --upgrade
# Install AMPL & solver modules:
$ python -m amplpy.modules install copt # install COPT
# Activate your license (e.g., free ampl.com/ce or ampl.com/courses licenses):
$ python -m amplpy.modules activate <your-license-uuid>How to use:
from amplpy import AMPL
ampl = AMPL()
...
ampl.solve(solver="copt", copt_options="option1=value1 option2=value2")For learning optimization and benchmarking solvers – a one-time 1 month free trial of COPT is available with a free Community Edition license.
For building and testing optimization models with commercial solver integration and full support, ensuring a smooth path to enterprise deployment.
AMPL starting at
$300 / month
Billed annually, includes updates and basic support.
COPT starting at
$250 / month
Billed annually, includes updates and basic support.
Build a custom plan – designed for large teams, multiple processes, high computational demands, or unique workflows.
All custom licenses built to your specific needs.
AMPL empowers businesses across diverse industries to make smarter decisions, improve efficiency, and maximize performance through optimization. From supply chain logistics to financial modeling, our expertise helps organizations tackle real-world challenges with precision and speed.
COPT and AMPL enable manufacturers to maximize productivity through efficient scheduling, resource allocation, and process optimization. By leveraging COPT’s advanced solver capabilities, companies can reduce costs, minimize downtime, and optimize supply chain logistics, ensuring smooth and cost-effective production planning.
AMPL and COPT provide powerful tools for route optimization, demand forecasting, and logistics planning. Companies use these solutions to minimize transportation costs, improve delivery schedules, and manage complex supply chain operations, ensuring reliability and efficiency in a rapidly changing logistics landscape.
COPT and AMPL help energy providers optimize power generation, grid distribution, and infrastructure planning. By leveraging advanced optimization techniques, companies can balance supply and demand, reduce operational costs, and ensure efficient use of energy resources, improving sustainability and profitability.
Get the most out of COPT with these essential resources—documentation, tutorials, and expert guides to help you optimize efficiently.
COPT for AMPL Documentation
Your go-to reference for using COPT, covering everything from installation to advanced solver techniques.
COPT Parameters & Options
Fine-tune COPT’s performance with a full list of solver parameters and configuration options.
MP Modeling Guide
Learn how to use the AMPL MP library to create flexible, solver-agnostic optimization models that work seamlessly with COPT.
COPT for AMPL on Google Colab
Run COPT with AMPL directly in your browser using pre-configured Google Colab notebooks—no installation required.
COPT for AMPL Change Log
Stay up to date with the latest improvements, bug fixes, and feature updates for the COPT-AMPL interface.
How to Use COPT for AMPL
Best practices for setting up COPT with AMPL, running models, and optimizing solver performance.
COPT, or the Cardinal Optimizer, is a high-performance mathematical optimization solver. It specializes in solving linear programming (LP), mixed-integer programming (MIP), and other related optimization problems. COPT is designed to provide efficient, accurate solutions for a wide range of complex optimization tasks, making it a valuable tool in various industries and research fields.
COPT, or the Cardinal Optimizer, is a high-performance mathematical optimization solver. It specializes in solving linear programming (LP), COPT excels at handling various linear, mixed-integer linear, quadratic, and conic optimization problems. This includes complex challenges in scheduling, resource allocation, design optimization, and more.-integer programming (MIP), and other related optimization problems. COPT is designed to provide efficient, accurate solutions for a wide range of complex optimization tasks, making it a valuable tool in various industries and research fields.
While COPT’s capabilities are powerful, its interface can be intimidating for beginners. Nevertheless, AMPL simplifies model formulation and interaction with COPT.
COPT supports all major 64-bit operating systems (Windows, Linux, macOS) and integrates with various modeling languages and interfaces. This flexibility allows users to choose their preferred environment for working with COPT.
COPT’s advanced algorithmic capabilities make it a valuable asset across various sectors, including logistics, finance, energy, and healthcare. In logistics, for instance, it optimizes routes and resource allocation, reducing costs. In finance, COPT aids in portfolio optimization, effectively balancing risk and return. Its wide applicability underscores COPT’s role in driving operational efficiencies and strategic innovations.
Access a complete optimization application building platform with simple pricing, or work with our team to design a custom package specifically for your business needs.
Get in touch to book a time for us to talk about your specific needs, and demo real solutions.
From startups to Fortune 500s, explore how industry-leading companies use AMPL to optimize complex problems.