K-server Problem

The K-server problem is a challenge in computer science that involves managing a set of servers located within a network to efficiently serve a sequence of requests at different points. The goal is to move these servers as little as possible while ensuring each request is met promptly. Think of it like a team of delivery trucks (servers) positioned in a city (network), needing to deliver packages to various addresses (requests). The problem focuses on planning their movements to minimize total travel distance, balancing the cost of moving servers with the need to respond quickly.