The goal of the research is to define and use a stochastic model that combines the Markov Chain Process to investigate hydrogen fuel vehicle refueling patterns and driver behavior in the South African transportation system. Contemporary Unmanned Aerial Vehicles (UAVs) are problematic. UAVs are becoming increasingly widespread in the United States; however, aircraft often require the capability to carry out long-term missions due to their lack of internal refueling capability. Refueling times, fueling capacity, and time spent at refilling stations are just a few of the elements that must be researched and adjusted for hydrogen fuel vehicles to significantly penetrate the market and address pertinent issues like infrastructure development. This paper makes a significant contribution by developing data on hydrogen fuel vehicle refueling behavior. The aim is to better understand how hydrogen fuel vehicles use fuel regularly, which is a stochastic process. The absence of data in the South African context on hydrogen fuel car refueling patterns and the predicted hydrogen fuel consumption (demand) a typical station would encounter is explained for this reason. In addition, the model’s daily and weekly fueling patterns (profiles) for hydrogen-fueled vehicles are key contributors.