Computing the Pareto Set (PS) of optimal cloud schedules in terms of cost and makespan for a given application and set of cloud instance types is NP-complete. Moreover, cloud instances' volatility requires fast PS recomputations. While genetic algorithms (GA) are a promising approach, little knowledge of an approximated PS's quality leads to GAs running for overly many generations, contradicting the goal of quickly computing an approximate solution. We address this with MOO-GA, our GA enhanced with a domain-tailored termination criteria delivering fast, well-approximated Pareto sets. We compare to NSGAIII using PS convergence and diversity, and computational effort metrics. Results show MOO-GA consistently computing better quality Pareto sets within one second on average (df=98, p-value<10 −3 ).