
In this video, we explore the fundamental concepts of process modeling and optimization. You'll learn what a process is, its key features, and how to analyze it using identification, simulation, and optimization techniques. This overview sets the stage for understanding how processes are represented and improved in real-world applications.
Maximize profit in metallurgical production by selecting production levels for three products under pressing and enameling time constraints, solved with the simplex method and verified in Python.
Explore the mathematical formulation of integer linear programming, compare LP and ILP, and apply level curve and branch and bound methods to real-world problems like personnel allocation and facility location.
Model and solve a two-crop farm production problem using integer linear programming, level curves, and the branch-and-bound method to maximize profit under labor and capacity constraints.
Use the branch and bound method to solve the car production integer linear programming problem under 13 hours of work, maximizing profit, and arrive at the integer solution x1=0, x2=3.
Solve a constrained nonlinear optimization problem in Python using SciPy to minimize cost for energy distribution between city and industry, respecting a fixed relationship between x1 and x2.
Master the art and science of process modeling and optimization in this in-depth, hands-on course! Designed for engineers, scientists, and professionals, this course provides you with the essential tools and techniques to analyze, optimize, and improve real-world processes. By combining mathematical concepts with practical applications, you'll learn how to make informed, data-driven decisions to enhance efficiency and solve complex problems in any domain.
The course begins with a strong foundation in Linear Programming (LP), where you'll explore various solution methods, including Grid Search, Graphical Method, and the widely used Simplex Algorithm. We’ll then delve into Integer Programming and tackle Network-based Problems, equipping you with the skills to handle scenarios like resource allocation, routing, and scheduling. To solve these complex problems, you'll learn the Branch and Bound Algorithm, a powerful approach for achieving optimal solutions.
We’ll also cover Non-linear Problems, introducing techniques to optimize processes using calculus-based solutions. These concepts are vital for understanding and solving real-world problems that go beyond linear assumptions.
The course places a strong emphasis on practicality by integrating applications with Python and Google Sheets. You’ll learn how to implement these optimization techniques step by step, applying them to real-world scenarios such as production planning, resource allocation, and cost minimization. By the end of the course, you’ll have a complete toolkit of optimization strategies and the ability to implement them with modern, accessible tools.
Whether you're new to optimization or looking to strengthen your skills, this course will guide you every step of the way. No advanced programming knowledge is required—just a passion for problem-solving and process improvement. Enroll today and take the first step toward mastering process optimization!