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Gurobi optimization example A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Modify a model; Change parameters; Mip1 Examples#. 0’s addition of a new bilinear solver, the Gurobi Optimizer now supports non-convex quadratic optimization. First proposed by Ailsa Land and Alison Harcourt (née Doig) in the 1960s, this algorithm takes a “divide-and-conquer” approach Facility Examples#. While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. Typically, the first step in building a model is to create an empty model. Yurchisin has over ten years’ experience applying operations research, machine Gurobi Example Tour. Machine Learning vs Mathematical Optimization. This section includes source code for all of the Gurobi Java examples. These show you how to create variables and constraints, and add them to an optimization model. What explains such wide disparities between implementations of such well-established methods? This comprehensive guide takes you on a journey through the intricate landscape of mathematical optimization, breaking it down into four digestible parts. You may find it helpful to refer to The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. com For Sales: sales-emea@gurobi. It is considering closing some plants to reduce The DEA Problem is formulated as a linear programming problem using the Gurobi Python API and solved with the Gurobi Optimizer. Klotz works closely with our customers to support them in implementing and utilizing mathematical optimization in their organizations. The Gurobi distribution includes an extensive set of examples that illustrate commonly used features of the Gurobi libraries. The same source code can be found in the examples/java directory of the Gurobi distribution. Explore our modeling examples below, access them via GitHub, or download the entire collection. com +49 In his role as a Senior Mathematical Optimization Specialist on the Gurobi R&D team, Dr. Paul Williams on pages 278-280 and 335-336. in Operations Research from the University of Paderborn (Germany). While Toggle Light / Dark / Auto color theme. the OLS model with a trained Scikit-learn model and uses the Gurobi Machine Learning package to embed it in a Gurobi optimization model. To give an example, the following statements create a dictionary x, and then associates a value 1 with key ('Pens', 'Denver', 'New York'). With a successful track record in scaling sales operations and delivering results across the region, she is committed to empowering businesses to unlock their full potential with cutting-edge solutions. Explore our modeling examples for the Gurobi Python API. This example is at the intermediate level, where we assume that you know Python and the Gurobi Python API and that you have some knowledge of building mathematical optimization models. The same source code can be found in the examples/python directory of the Gurobi distribution. The same source code can be found in the examples directory of the Gurobi distribution. In this talk, we are interested in using such predictors to model relationships between variables of an optimization model in Gurobi. Middle East and India Milos Pavlovic pavlovic@gurobi. It consists of a set of variables, a set of constraints, and the associated attributes (variable bounds, objective coefficients, variable integrality types, constraint senses, constraint right-hand side values, etc. The same source code can be found in the examples/c++ directory of the Gurobi distribution. The algorithm . A Gurobi model holds a single optimization problem. Solving the RAP. You can also modify and re-run individual cells. Learn More We will construct a mixed-integer programming (MIP) model of this problem, implement this model in the Gurobi Python interface, and compute an optimal solution. Learn More In addition to performance enhancements, Gurobi 12. Learn More These modeling examples assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. The intended audience for this webinar includes those with a background in optimization and knowledge on basic probability and statistics. This model is example 22 from the fifth edition of Model Building in Mathematical Programming by H. Code-Focused Examples: The course is designed to meet data scientists where they are in their problem-solving journey, Gurobi Optimization, LLC (“Gurobi”) is the owner of the content (all right, title, and interest) of this course (“Content”). Switzerland, Austria, and Eastern Europe Milos Pavlovic pavlovic@gurobi. This latest version provides users with expanded nonlinear solving capabilities, faster solving times, and smarter resource management. For example, a variable whose values are restricted to 0 or 1, called a binary variable, can be used to decide whether or not some action is This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of Gurobi Example Tour. View Downloads Gurobi Solver for AMPL Gurobi Solver for AMPL is the set of tools to add Gurobi Solver to an existing AMPL installation. This approach allows for addressing more complex optimization problems, including combinatorial optimization. The first step in our example is to create a model. Many optimization software systems today work only with approximations that deliver acceptable performance and accuracy. View Downloads AMPL and Gurobi AMPL-Gurobi includes both the AMPL modeling system and [] While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. Gurobi Optimizer Example Tour# Version 12. This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. ” Gurobi Opti201 Training Video – What’s Next: The Gurobi ML Package & OptiMods Example. Lp Examples#. C3 AI Harnesses Gurobi Engine to Enhance Optimization Results, Driving Faster Intelligent Decisions Gurobi Optimization, LLC # This example reads a MIP model from a file, solves it in batch mode, # and prints the JSON solution string. View the notebook While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. Learn More This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. import sys import time import json The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. C C++ C# Java Python Visual Basic Examples. Jupyter Notebook. 11:00 AM ET. BestBdStop#. 5 and 58 times slower than the Gurobi simplex solver, respectively. Gurobi Optimization, LLC */ /* Facility location: a company currently ships its product from 5 plants to 4 warehouses. A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Gurobi Optimization, LLC # Facility location: a company currently ships its product from 5 plants to # 4 warehouses. Batchmode Examples#. Gurobi Optimization, LLC # This example formulates and solves the following simple MIP model # using the matrix API: Toggle Light / Dark / Auto color theme. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of trusted partners who can support you in achieving your optimization goals. Repository for Gurobi webinar presentation. This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and you have advanced knowledge of building mathematical optimization models. Solving MIP Problems When solving mixed integer programming problems, the formulation and representation of the problem play a crucial role in the performance of the solver. In this power generation problem, the objective is to minimize the overall costs. py Example Tour - Gurobi Optimization. For subsequent runs, choose “Runtime” and click “on “Restart and run all”. Any immutable Python object can be used as a key: an integer, a floating-point number, a string, or even a tuple. Learn More The material is from the Webinar on Optimization 101 for Data Scientists In this webinar two modeling examples and a use case were discussed. 25*exp(x) Portfolio Selection Optimization. Example Tour. What’s a real-world example of mathematical optimization? 80% of the world’s leading companies use mathematical optimization to make optimal business decisions. A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Modify a model; Change parameters; As Director of Sales for EMEA at Gurobi, Anisa focuses on helping organizations solve complex optimization challenges using Gurobi's world-class mathematical optimization technology. Paul Williams on pages 270 – 271 and 325 – 326. Learn More This section includes source code for all of the Gurobi TSP examples. However, in order to be able to solve larger instances, one needs more sophisticated techniques – such as those implemented in the Concord TSP Solver. com +49 4161 6014900. For this AI modeling project, we have translated these models back into problem descriptions. Such a desirable solution is called optimum or optimal solution — the best possible from all candidate solutions measured by the value of the objective function. Gurobi Modeling Examples. Gurobi Optimization, LLC # This example formulates and solves the following simple bilinear model: # maximize x # subject to x + y + z <= 10 # x * y <= 2 Explore our modeling examples for the Gurobi Python API. This model is an example of a constraint optimization problem. 5 billion in annual transactions) to optimize 500 power-generation units and 11,000 miles of For examples of how to query or modify parameter values from our different APIs, refer to our Parameter Examples. View On GitHub. Model: Part 2 This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and you have advanced knowledge of building mathematical optimization models. The models are part of the Mixed Integer Linear Programming Tutorial. This 35-minute video recording consists of: While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. This section includes source code for all of the Gurobi batch mode examples. A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Modify a model; Change parameters; Companies across numerous industries – including petrochemical refining, wastewater treatment, and mining – use mathematical optimization to solve the pooling problem. View the notebook The optimization problem seeks a solution to either minimize or maximize the objective function, while satisfying all the constraints. 0 includes several exciting new features: Global MINLP Optimality – Directly state nonlinear constraints using Gurobi’s APIs and solve mixed-integer nonlinear programming (MINLP) problems to global optimality. The output from the command first shows that the client license file gurobi. This video tutorial takes you through the foundationsal principles of Mixed-Integer Linear The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. Type: double Default value: Infinity Minimum value: -Infinity Maximum value: Infinity Terminates as soon as the engine determines that the best bound on the objective value is at least as good as the While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. The goal of the modeling examples is to introduce the key components in the formulation of mixed integer programming (MIP) problems. We start by focusing on two: mip1 example and sos example. Subsections. He joined Gurobi in 2015 after many years of experience in the This section includes source code for all of the Gurobi matrix examples. C++ Examples#. Learn More For example, the open-source simplex solvers CLP and GLPK are, on average, a factor of 2. Join us in this training session to learn about our machine learning open-source tools and our brand-new Gurobi OptiMods. For example, a regression model may predict the demand of certain products as a function of their prices In mathematics, common examples of nonlinear expressions include equations with variables that are raised to powers greater than one, or that involve trigonometric functions, exponentials, logarithms, or other nonlinear The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. Typically, the objective function and/or constraints of these examples are complex or required advanced features of the Gurobi Python API. The Basics: Learn the fundamentals of linear optimization models, illustrated with practical examples. You can also use cloud instances as workers for distributed optimization. For subsequent runs, choose “Runtime” and click “on “Restart Mixed Integer Linear Programming Tutorial. In this notebook, we model this decision-making problem using mathematical optimization. This is best suited to a matrix formulation, so we use the Gurobi Python matrix interface. Gurobi Optimization, LLC # This example considers the following nonconvex nonlinear problem # # minimize sin(x) + cos(2*x) + 1 # subject to 0. Downloads: ZIP; TAR; In this notebook, we will build an optimization model to set up a If you’d like to learn to use Gurobi, but you don’t meet our academic program qualification requirements, you can sign up for our free Gurobi Online Course License. This section includes source code for all of the Gurobi callback examples. This groundbreaking new capability allows users to solve problems with non-convex quadratic constraints and objectives – enabling them to find globally optimal solutions to classic bilinear pooling and blending problems and continuous • Supply Chain Optimization: SAP Advanced Planning and Optimization and SAP HANA help solve complex optimization problems. Before using the The examples on this page are considered classic OR examples. In the future, we should probably write a section about which data types are suitable in this context. This section includes source code for all of the Gurobi bilinear examples. Online Google Colab version does not work here because the notebook What’s Next for Your Learning Journey: The Gurobi ML Package & OptiMods Example (Optional) Data Science Strategist Gurobi Optimization. For subsequent runs, choose “Runtime” and click “on “Restart To get an idea of what this data could look like, our Example prompts section has many examples that utilizes external data, but you could also use inline data as in Getting Started. Toggle navigation of Example Tour. Both build very simple models to illustrate the basic process. batchmode, callback, feasopt, fixanddive, lp, lpmethod, lpmod, mip2, params, sensitivity. cpp# This example is at the intermediate level, where we assume that you know Python and the Gurobi Python API and that you have some knowledge of building mathematical optimization models. Typically, the objective function and/or constraints of these examples are complex or require advanced features of the Gurobi Python API. Considering a constraint of an integer programming model where all the decision variables in the constraint are binary, the goal is to find another constraint involving the same binary variables that is logically equivalent to the original constraint, but that has the smallest possible absolute This model is an example of a railway dispatching problem formulated as an optimization problem using the Gurobi Python API and solved with the Learn More . Learn More BEAVERTON, Ore. You Gurobi’s optimization sense is set to maximize the objective function value. View the notebook. # # You will need a Cluster Manager license for this example to work. The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. Once the model is solved, health checks and pre-trade checks are ran to This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. We test each optimization we make to the solver, so we know that each new version of Gurobi is delivering Example Tour - Gurobi Optimization. You can A Python-only example that solves a financial portfolio optimization model, where the historical return data is stored using the pandas package and the result is plotted using the Portfolio Optimization¶ This example solves a financial portfolio optimization model, using historical return data. Here are a few examples of how nonlinear solving can be applied to a wide range of problems: Dr. Now let’s dive in to optimization modeling with Gurobi, CPLEX, and PuLP. View the notebook Many optimization users have successfully delivered high-value projects—but then face obstacles when it comes to promoting the benefits of optimization and scaling it up at their organizations. A few, however, A Python-only example that solves a financial portfolio optimization model, where the historical return data is stored using the pandas package and the result is plotted using the matplotlib package. D. This model is example 15 from the fifth edition of Model Building in Mathematical Programming by H. Understand the nuances of objective functions and constraints, including discrete vs Introduction. A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Modify a model; Change parameters; Example Tour - Gurobi Optimization. The reference Python code showing Gurobi best practices can be found • netflow - A Python-only example that solves a multi-commodity network flow model. ; Nonlinear Expressions in gurobipy – Easily model your mixed-integer nonlinear problems in our Python API. Gurobi Optimization, LLC # This example considers the following separable, convex problem: # # minimize f(x) - y + g(z) The integrality constraints allow MIP models to capture the discrete nature of some decisions. Most examples have versions for C, C++, C#, Java, Python, and Visual Basic. This section includes source code for all of the Gurobi lp examples. callback. The relationship between price and demand is modeled using linear regression. Reaping a bountiful harvest from Constraint Optimization. Let’s put this framework into perspective with an example We’ll begin by giving you an overview of the key components of a simple mathematical optimization problem, then show you how to create a mathematical optimization model (or, to be more precise, a mixed-integer programming or MIP model) of the problem using the Gurobi Python API, and then demonstrate how you can automatically generate an optimal solution With the release of Gurobi 9. Motivating Example. gurobi> x = {} # creates an empty dictionary gurobi> While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. It has limited capabilities (max 2000 decision variables and 2000 constraints)—but it is Several of the Gurobi examples build models from scratch. Toggle Light / Dark / Auto color theme. java; Example prompts¶ In the following pages we demonstrate a number of example applications tailored to a range of technical specialties. Batchmode. Considering a constraint of an integer programming model where all the decision variables in the constraint are binary, the Optimization 101 for Data Scientists! The material is from the Webinar on Optimization 101 for Data Scientists In this webinar two modeling examples and a use case were discussed. Gurobi Optimization Made with Sphinx and @pradyunsg's The optimization problem aims to minimize the loss (or maximize the profit) resulting from the first stage decision plus the expected loss resulting from the second stage decision. Learn More Optimization for Operations Researchers Operations Researchers Callback Examples#. . We use this classic combinatorial optimization problem to demonstrate how Gurobi can be used to easily and effectively solve small-sized problem instances of the TSP. A list of the Gurobi examples; Load and solve a model from a file; Build a model; Additional modeling elements; Modify a model; Change parameters; While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. Gurobi Example Tour. The lp example is a simple illustration of how this is done in the various supported Gurobi languages. Time to try the new alternative – MINLP! Gurobi Optimization, LLC # This example considers the following nonconvex nonlinear Gurobi Jupyter Notebook Modeling Examples are mathematical optimization models coded using the Gurobi Python API and implemented with Jupyter Notebooks. A Python dictionary allows you to map arbitrary key values to pieces of data. Learn More In this recording, we focus on stochastic optimization models and easy-to-understand algorithms, amenable to being easily solved with Gurobi. You can review the Jupyter Notebooks here. Contact your EMEA regional sales representatives: Energy Vertical Frank Häger haeger@gurobi. Each example shows the prompt and This model is an example of a constraint optimization problem. This example optimizes avocado prices to maximize revenue from using a quadratic program. A list of the Gurobi examples; Gurobi Optimization, LLC # This example formulates and solves the following simple MIP model: This modeling example is at the advanced level, where we assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. com +49 7221 7010904. lic located in the home directory of the user will be used to store the connection parameters. It then prompts you for the password for the specified user (in a secure manner). The next topic covered in this document is model modification. 0. As a quick review, an optimization model is a problem which has an objective (or a set of objectives in multi-objective . ). Decision Intelligence – Across the Enterprise Data Scientists Operations Researchers Business Leaders Academics Consultants and ISVs Optimization for Data Scientists Data Scientists By combining machine learning and optimization, you can go beyond predictions—to optimized decisions. In the Python interface. Learn More Optimization for Operations Researchers Operations Researchers We’ll begin by giving you an overview of the key components of a simple mathematical optimization problem, then show you how to create a mathematical optimization model (or, to be more precise, a mixed-integer programming or MIP model) of the problem using the Gurobi Python API, and then demonstrate how you can automatically generate an optimal solution Decision Intelligence – Across the Enterprise Data Scientists Operations Researchers Business Leaders Academics Consultants and ISVs Optimization for Data Scientists Data Scientists By combining machine learning and optimization, you can go beyond predictions—to optimized decisions. Kostja holds a Ph. Event: February 5th, 2025. This section includes source code for all of the Gurobi mip1 examples. Motivation Gurobi Example Tour. This section includes source code for all of the Gurobi dense examples. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. It is considering closing some plants to reduce costs. Learn More While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. These Jupyter Notebook Modeling Examples: Teach you how to build mathematical optimization models of real-world business, engineering, or scientific problem using Python. This prompt was fed to the Gurobi AI Modeling Assistant. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. Learn More Watch the webinar, “Gurobi OptiMods: Simple APIs for Common Optimization Tasks. C3 AI Harnesses Gurobi Engine to Enhance Optimization Results, Driving Faster Intelligent Decisions. This section includes source code for all of the Gurobi facility examples. In this example, we'll guide you through the process of building a mixed-integer quadratically-constrained programming (MIQCP) model of a pooling problem using the Gurobi Python API and show you how to Bilinear Examples#. Gurobi Examples Example Tour The Gurobi Cloud allows you to run one or more Gurobi Compute Servers without having to purchase new computers or new Gurobi licenses. The variables in the model are typically defined to be non-negative real numbers. These modeling examples assume that you know Python and the Gurobi Python API and that you have advanced knowledge of building mathematical optimization models. The Burrito Optimization Game is a web-based app that is intended to act as an entry point for data scientists and problem solvers who could benefit from optimization; the game teaches players why optimization is valuable and important, why it’s difficult (by showcasing the scaling and added complexity of optimization throughout round play), and why solvers and other Gurobi Examples Example Tour. Gurobi Examples Example Tour. Whether you’re tackling challenges in energy, supply chain, finance, or beyond, this session will equip you with the tools and knowledge to unlock new possibilities in optimization. Register for our upcoming webinar to walk through real examples, get expert insights, and discover practical strategies for modeling and solving MINLPs seamlessly using Python and Gurobi. The Gurobi distribution includes Dense Examples#. Learn More This command indicates that you want to connect to the Cluster Manager running on port 61080 of machine localhost as the gurobi user. This section includes source code for all of the Gurobi C++ examples. Try this example to learn how to use mathematical optimization to tackle a common, but critical agricultural pricing problem: Determining the prices and demand for a country's dairy products in order to maximize total revenue derived from the sales of those products. This modeling example is at the beginner level, where we assume that you know Python and that you have some knowledge about building mathematical optimization models. Download the Latest Version of Gurobi Gurobi Optimizer Download the Gurobi Optimizer and the Gurobi Compute Server package. Historically, we have published the code for these examples on the Examples page in our documentation. Simplifying This document provides a quick guided tour of the Gurobi examples; we will try to highlight some of the most important features of these examples. It demonstrates the use of pandas, Learn how to build mathematical optimization models of real-world business, engineering, or scientific problems using Python. The Facility Location Problem example on the Gurobi website provides a detailed description of the problem, together with a Jupyter notebook modeling example. Learn More Python Examples#. For subsequent runs, choose “Runtime” and click “Restart and run all”. Gurobi Optimization, LLC # This example uses the matrix friendly API to formulate the n-queens # problem; it maximizes the number queens placed on an n x n # chessboard without threatening each other. Model: Part 2 Example Tour - Gurobi Optimization. The algorithm that Gurobi uses for solving IPs is called branch-and-bound. com. He also interacts heavily with the R&D team based on his experiences with the customers. Once we have defined the model object ‘m’ with all the necessary components, we are ready to solve the RAP. It demonstrates the use of several Python modeling constructs, including dictionaries, tuples, Example prompts¶ In the following pages we demonstrate a number of example applications tailored to a range of technical specialties. Typically, the objective function Gurobi Example Tour. Objective bound to stop optimization. Learn About Using Gurobi in Python For a brief introduction to mathematical optimization for data scientists, you may want to start with these on-demand webinars. The Gurobi Optimizer will find the optimal solution of the modeling example. – November 19, 2024 – Gurobi Optimization, LLC, the leader in decision intelligence technology, today announced the release of Gurobi Optimizer 12. batchmode_c++. This cutting stock problem is an example of combinatorial optimization problems that cannot be attacked with machine learning techniques due to the astronomical number of possibilities in Access to Powerful Optimization Solvers: Libraries like Gurobi provide access to powerful optimization solvers that can handle large, complex problems. This model is an example of the classic Markowitz portfolio selection optimization model: to allocate investments to minimize risk. One of the most basic tasks you can perform with the Gurobi libraries is to read a model from a file, optimize it, and report the result. The Gurobi Python The example will install the gurobipy package, which includes a limited Gurobi license that allows you to solve small models. For General Information: info@gurobi. Note that the model generated by the LLM might not reflect Gurobi’s best practices. We'll demonstrate how you can construct a mixed-integer programming (MIP) model of this facility location problem, implement this model in the Gurobi Python API, and generate an optimal solution using the At this point, Gurobi solves the consequent mathematical optimization model, in which the portfolio will be optimized to maximize the rate of return subject to risk limits. Mr. • Electrical Power Optimization: NYISO managed New York’s wholesale electrical power market ($7. I will demonstrate how to formulate and solve one of these problems using Gurobi. Content is not designed or intended for commercial use or for the sale of courses. Toggle table of contents sidebar. Kostja Siefen leads the global Technical Account Management team at Gurobi Optimization. Video available at Proven Techniques for Solving Financial Problems with Gurobi. For example, Air France uses it to build the most efficient schedule for its entire fleet, in order to save on fuel and operational costs, while reducing delay propagation. Each example shows the prompt and any data files if applicable. That’s why, at Gurobi, we have established the Gurobi Alliance partner network—a group of The Gurobi library consists of over 10,000 commercial models sourced from academia and our industry prospects & customers. Gurobi Optimization, LLC */ /* This example reads a model from a file, sets up a callback that monitors optimization progress and implements a custom termination strategy, While the mathematical optimization field is more than 70 years old, many customers are still learning how to make the most of its capabilities. You will learn how to model this problem as a quadratic optimization problem using the Gurobi Python API and Example Tour - Gurobi Optimization. Sharpen your mathematical optimization modeling skills with this example, in which you will learn how to select the location of facilities based on their proximity to customers. This section includes source code for all of the Gurobi Python examples. ensjqt wde ork vfof figurpv rofen cogngn klzs ngvnrsr liuhr