I am trying to determine the optimum number of buses required for loading and unloading of passengers/baggage. The buses perform following tasks:

  1. Transport terminating passengers and their carry on luggage to their end points

  2. Transport originating passengers and their carry on luggage to their departing flight

  3. Transfer passengers and their carry on luggage to their connecting flights

I have the flight schedule (partial schedule attached below) for the day and I am aware this is a scheduling problem and I need help to mathematically define my objective function and constraints:

Loading and unloading times for passengers: 30 mins

Turn around time for buses: the earliest time a bus is ready for another loading/unloading operation: 60 mins

Capacity of each bus is 100 passengers and their carry ons.

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