Air travel has been identified as a leading factor in the spread of infections. In earlier work, we showed that changes to boarding and deplaning procedures could substantially reduce the number of contacts between passengers, with potential reduction in the risk of transmitting Ebola on flights. We extended this to airport grates. Our approach leads to a large parameter sweep, leading to a high computational cost. We showed that a Low Discrepancy parameter sweep, in contrast to the traditional lattice based sweep, can lead to a one to three orders of magnitude reduction in computational effort. However, this has greater load imbalance issues than the traditional parameter sweep. We develop solutions to this load imbalance, and relate it to number theoretic properties of the low discrepancy sequence.