Question 3: Airline Transportation Problem 125 points Airlines flere forslae Amman, Muwat, wad Kwait. It has deve diferent types of Telepon the capacity of cach na typer aircrafts for each type And Type Capacity (paper) Number of lata 12 orghese pages per day thing to each city is given in the table below. The mble also shows the number of trips that each make to the four 30 20 20 Aircraft Type Number of daily trips per toute A Muscat Rawat 1 3 3 3 $ 5 Daily number 1600 2000 of customers 900 1200 The operating costs for flying one sincraft of a type to a destination and penalty cost of losing one passenger to other airlines are given in the table below Operating Cost per Round Trip on Route (1000 Aircraft Type Turkish Lir. TL) Doha Amman Muscat Kuwait 20 11 12 15 16 9 10 10 12 8 8 9 Penalty per lost 7 passenger (TL) Pegasus Airlines has to decide the number of aircrafts of each type to be assigned to each route so as to minimize the total operating and penalty costs. Please formulate the mathematical model. Hint: Here is a sample assignment 45 Aircraft Type Assigned Airerafts Amman Muscat Assigned Aircrafts Available Aircrafts Doha Kuwait 6 1 2 3 6 2 5 2 4 4 1 4 3 15 12 16 2 4 15 12 20 In the above assignment, daily number of passengers flying to Doha is equal to (6 Typel) * (3 Trips) + (50 capacity) + (2 Tipe?) * 14 Trips) * (30 capacity) + (4 Type3) 75 Trips) * (20 capacity - 1540, That means 1600 - 1540 - 60 patsengers to Doha will be lost to other airlines. 6 Question 3: Airline Transportation Problem 125 points Airlines flere forslae Amman, Muwat, wad Kwait. It has deve diferent types of Telepon the capacity of cach na typer aircrafts for each type And Type Capacity (paper) Number of lata 12 orghese pages per day thing to each city is given in the table below. The mble also shows the number of trips that each make to the four 30 20 20 Aircraft Type Number of daily trips per toute A Muscat Rawat 1 3 3 3 $ 5 Daily number 1600 2000 of customers 900 1200 The operating costs for flying one sincraft of a type to a destination and penalty cost of losing one passenger to other airlines are given in the table below Operating Cost per Round Trip on Route (1000 Aircraft Type Turkish Lir. TL) Doha Amman Muscat Kuwait 20 11 12 15 16 9 10 10 12 8 8 9 Penalty per lost 7 passenger (TL) Pegasus Airlines has to decide the number of aircrafts of each type to be assigned to each route so as to minimize the total operating and penalty costs. Please formulate the mathematical model. Hint: Here is a sample assignment 45 Aircraft Type Assigned Airerafts Amman Muscat Assigned Aircrafts Available Aircrafts Doha Kuwait 6 1 2 3 6 2 5 2 4 4 1 4 3 15 12 16 2 4 15 12 20 In the above assignment, daily number of passengers flying to Doha is equal to (6 Typel) * (3 Trips) + (50 capacity) + (2 Tipe?) * 14 Trips) * (30 capacity) + (4 Type3) 75 Trips) * (20 capacity - 1540, That means 1600 - 1540 - 60 patsengers to Doha will be lost to other airlines. 6
