Homework 5 Solution

Homework 5 Solution - Homework 5 Solution Page 411-problem...

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Unformatted text preview: Homework 5 Solution Page 411-problem 28: Define if professor is assigned to time slot , , Then the formulation is Page 411-problem 29: I have explained the problem during the Friday's discussion section. . All decision variables are nonnegative and integer valued. Page 522-problem 6: The BB tree is plotted below. Please judge the optimal solution by yourself. Page 522-problem 7: The BB tree is plotted below. Please judge the optimal solution by yourself. Page 523-problem 8: I have explained the problem during the Friday's discussion section. The proof is outlined below. Proof: We assume If exists. , done; If not, then we must have . Choose . We argue that is optimal to node 1. There are two steps to show this. Step (1): Let be the set of constraints for node 0. We infer that that satisfies node . We can show that . Step (2): Let be the objective function. Assume the problem is a maximization problem. Then . We infer that node 1. satisfies node , and satisfies must be an optimal solution to ...
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