respond to peer, Compared to other approaches, linear programming offers a systematic and quantitative way to handle multiple constraints (e.g., time schedules, fuel limits, and passenger demand) simultaneously. It can also accommodate changing factors, such as peak-hour demand or budget adjustments, more flexibly than heuristic or manual methods. Furthermore, it reduces the risk of over- or underutilizing resources, improving overall operational efficiency. This can lead to cost savings and improved satisfaction for both the transit authority and its passengers