You have just designed a route that requires 65 minutes to travel round trip without any layover/recovery time at the route terminals. Your boss indicates that a layover/recovery period of at least 5% of the round trip time must be included at either end of the route. Adjust the cycle time to include the layover/recovery time and determine the number of vehicles that will be required to service this route if the required headway is 15 minutes.

[Solution Shown Below]

Solution

First, you’ll need to adjust the cycle time so that it includes the necessary layover/recovery periods.

C = Travel Time + Layover/Recovery Time

C = 65 minutes + 65*(10%) = 71.5 minutes

C = 72 minutes (rounded to the next whole number)

Next, you’ll need to determine the number of vehicles that are required.

Number of Vehicles = Cycle Time / Headway

Number of Vehicles = 72/15 = 4.8 vehicles

Number of Vehicles = 5 vehicles (rounded to the next whole number)

Since the number of vehicles and the headway are set, we should solve for the new cycle time and determine what layover/recovery period is actually provided.

Cycle Time = Number of Vehicles * Headway

Cycle Time = 5 * 15 = 75 minutes