Toptal

Operations research, the science of using computers to make optimal decisions, has been used and applied in many areas of software. To give a few examples, logistics companies use it to determine the optimal route to get from point A to point B, power companies use it to determine power production schedules, and manufacturing companies use it to find optimal staffing patterns for their factories.

Today, we will explore the power of operations research by walking through a hypothetical problem. Specifically, we will use mixed-integer programming (MIP) to determine the optimal staffing pattern for a hypothetical factory.

Operations Research Algorithms

Before we dive into our example problem, it is helpful to go over some basic concepts in operations research and understand a bit of the tools we will be using today.

Linear Programming Algorithms

Linear programming is an operations research technique used to determine the best outcome in a

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