Proceedings of the 49th Annual Meeting of Western Decision Sciences Institute. The article of record as published may be found at http://wdsinet.org/Annual_Meetings/2020_Proceedings/ProceedingsPapers.htmlThe U.S. Army has directed the manning and equipping Brigade Support Battalions to fulfill the organic sustainment needs of brigades, as An Army Infantry Brigade Combat Team cannot organically transport all of its assigned assets. We formulated an integer programming model to optimize sustainment outcomes of supported units and analyze risk associated with shortfalls that may arise. We developed a scenario reflecting the steady resupply of an Infantry BCT during combat operations and a system for prioritizing competing resupply needs. Our mathematical modeling framework provides a foundation on which more advanced applications and analysis can be developed in the future