Just for the sake of completion, there are some bus services that offer real-time GPS tracking, so you’d know where the bus is and roughly how long until it arrives. Presumably no such service is available.
We go on to the age-old question: do you try to get the best average performance or the best worst-case performance? If it’s the best average performance, go to the bus stop and wait. If you prefer to get the best worst-case performance, just walk every time.
If the bus arrival time is evenly distributed from 0 to 30 minutes, and takes 3 minutes, the average performance of the bus is 18, while walking is 15, so walking is also the best average performance.
Just for the sake of completion, there are some bus services that offer real-time GPS tracking, so you’d know where the bus is and roughly how long until it arrives. Presumably no such service is available.
We go on to the age-old question: do you try to get the best average performance or the best worst-case performance? If it’s the best average performance, go to the bus stop and wait. If you prefer to get the best worst-case performance, just walk every time.
If the bus arrival time is evenly distributed from 0 to 30 minutes, and takes 3 minutes, the average performance of the bus is 18, while walking is 15, so walking is also the best average performance.