This paper analyzes healthcare supply chain shortcomings during the COVID-19 pandemic, specifically in supplying personal protective equipment (PPE) to healthcare personnel. It addresses the need for effective PPE stockpile strategies, considering past inadequacies. A linear programming model is presented to determine optimal PPE stockpile levels, factoring in unpredictable demand and variable supplier costs. The study includes a comparative analysis of scenarios with and without stockpiling strategies. Moreover, we employ the Morris method for comprehensive sensitivity analysis, focusing on key factors, namely: demand, supply from traditional and non-traditional sources, and stockpile capacity. These insights are vital for policymakers to develop better PPE stockpiling methods, thus improving healthcare crisis management.