👉 Guarantee math, often associated with the concept of "guaranteed minimum performance" or "guaranteed uptime," is a mathematical framework used in systems and services to ensure a specified level of reliability and availability. It involves defining specific performance metrics, such as response time, throughput, or availability, and then mathematically proving that the system will meet these targets under certain conditions. This is typically achieved through probabilistic models, such as Markov chains or queuing theory, which help in estimating the likelihood of meeting these guarantees. By doing so, guarantee math provides a rigorous foundation for designing and evaluating systems that must operate reliably, ensuring customers or users receive consistent performance even under varying loads or failures.