Set Packing
Set Packing is a combinatorial optimization problem where the goal is to select a collection of sets from a given family of sets. Each set contains elements, and the objective is to choose the maximum number of sets such that no element is included in more than one selected set. This problem is often encountered in resource allocation and scheduling tasks.
The Set Packing problem is NP-hard, meaning that there is no known efficient algorithm to solve all instances of the problem quickly. It has applications in various fields, including computer science, operations research, and network design, where optimal resource utilization is crucial.