Course Solutions Uncategorized (Answered) : Problem 4 Twelve People Need Take Small Boat Cross River Weights Kg 58 61 45 30 77 57 81 3 Q32729427

(Answered) : Problem 4 Twelve People Need Take Small Boat Cross River Weights Kg 58 61 45 30 77 57 81 3 Q32729427

Problem 4. Twelve people need to take a small boat to cross over a river. Their weights are (in kg): 58, 61, 45, 30, 77, 57, 81, 35, 47, 55, 52, 59. Each time, the small boat can only load up to 130 kilograms. Formulate this problem as an IP problem. Hint: The transportation can be done in at most twelve rounds. So, consider 12 rounds, and construct binary variables xij meaning person i is crossing in round j. Then, how would you determine each round is necessary or unnecessary? Do you need another variable for that?

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