Numerical Optimization

In our daily lives, while running errands and doing chores, the human mind is always carrying out some form of optimization. For example, the mind might be optimizing the route to take for single or multiple destinations that we need to visit. It can also be optimizing the cost of items that we need to buy on a trip to a grocery store, or, for example, budgeting our income and expenses on a weekly or monthly basis. Another example is to try to optimize the amount of sleep so that our mind is fresh the following day to work on our projects. In short, we are optimizing multiple tasks and schedules every single day without even knowing or thinking about it. Similarly, nature also optimizes its processes. For example, the Earth goes around the Sun in an optimal path to keep a balance between the various gravitational forces.

Optimization also plays a big role in the technology industry. Several large-scale optimization problems are being solved by small and large...