1. An air transportation company plans an expansion to its current operations. The plan includes shipping cargo from cit

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1 An Air Transportation Company Plans An Expansion To Its Current Operations The Plan Includes Shipping Cargo From Cit 1 (57.9 KiB) Viewed 22 times

1. An air transportation company plans an expansion to its current operations. The plan includes shipping cargo from city A to city B with a maximum cargo level of 10 tons. There are four different items that can be shipped with their information presented in the table. Each item has a weight in tons, can make a profit in thousands of dollars, and it is limited in terms of current supply (availability for shipping). If an item is selected, then all number available for shipping for that particular item will be shipped. Item (i) Weight (wi) Profit/Unit (Pi) 3 Number available (ni) 6 1 1 2 4 9 1 3 3 8 2 4 2 5 2 Let x;= 1 if object i is selected and 0 otherwise. Then the vector (x1 X2 X3 X4) represents a solution а of the problem. The solution is feasible only if &t=1 W;N;X; SW, where W = 10. For example, weight constraint for chromosome (1 100) is W=wini + win2 =(1)+(4)(1)=10. The fitness for chromosome (x1 X2 X3 X4) is F = 24=1P;n;X;. For example, fitness for chromosome (1 100) is F = pini + p2n2 = (3)6+9)(1)=27 with W= 10. i=1 Start with the initial population: P1 = (1 100) and P2 = (0011) Develop an evolutionary approach to search for the optimum solution for this problem. Use the crossover operator. You may use the inversion or mutation operators after the first improvement obtained with the crossover operator.