I have a manufacturing operations final exam100 hundred questions3 hoursI will have to give you university Account to do that
ESI5306 β Fall 2020Course Project: Applications of Mixed Integer Linear ProgrammingThis project considers the problem of scheduling the arrivals and departures of vertical take-off andlanding aircraft (VTOL) at an urban airport. Examples of VTOL aircraft include helicopters and theHarrier jet, and next generation urban air mobility aircraft (https://www.uber.com/elevate.pdf/).Here we will consider the case of a single airport: Vela Regional Airport (VRA). VRA has one landing padused for both departures and arrivals. In the next hour π aircraft are scheduled to depart or land at theairport. Nominally, each aircraft π requests a departure time of πππ from their departure airport (whichcould be VRA or another airport). For aircraft landing at VRA, their nominal travel time from theirdeparture airport to VRA is given by πππ‘.In order to safely process all arrivals and departures at the landing pad, each pair of aircraft, π and π,must separate their operations (landing or departing) by at least πππ ,π. Separating the operations ensuressafety so that no aircraft collide with each other.The goal of this project is to write a Mixed Integer Linear Program (MILP) that schedules the departureand landing times of the aircraft at VRA. Adjusting the schedule can occur via two mechanisms:β’ Advancing or delaying the actual departure time of the aircraftβ’ Adjusting the actual travel time of aircraft going to VRA.The MILP must enforce the following constraintsβ’ Aircraft operations are safely separated in timeβ’ All operations must start and end within the 1440 minute (1 day) time-period underconsiderationβ’ The travel time must be within +/-25% of the nominal travel timeFor this problem you will be given the following values in a CPLEX dat file (these should be referenced inyour written formulation):β’ ππππ(where ππππ β€ π): the number of aircraft arriving to VRAβ’ ππππ(where ππππ β€ π): the number of aircraft departing VRAβ’ πππ: the desired departure time for each aircraft, π β {1,2, β¦ π}β’ πππ‘ : the nominal travel time for arriving aircraft, π β {1,2, β¦ ππππ}β’ πππ ,π : the required separation time between two aircraft, π, π β {1,2, β¦ π}β’ πΆππ: the cost/min of advancing the departure time of an aircraft, π β {1,2, β¦ π}β’ πΆππ: the cost/min of delaying the departure time of an aircraft, π β {1,2, β¦ π}β’ πΆππ : the cost/min of shortening the travel time of an aircraft, π β {1,2, β¦ ππππ}β’ πΆππ: the cost/min of lengthen the travel time of an aircraft, π β {1,2, β¦ ππππ}All units for the values above are in minutes.You may be required to introduce or further define terms, variables, and decision variables to suit yourformulation. Consider using the following variable names for your d.v. arrays: πππππ£,πππππππ¦,ππ‘π βπππ‘ππ, ππ‘πππππ‘βππ. It might also be helpful to use the d.v. array πππ to keep track ofthe actual βoperation timeβ when the aircraft arrive or depart from the airport.
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