Consider the Lagrangian relaxation described near the end of Sec. 12.6.
Answer to relevant QuestionsRead the referenced article that fully describes the OR study summarized in the application vignette presented in Sec. 12.7. Briefly describe how integer programming was applied in this study. Then list the various financial ...Consider the IP example discussed in Sec. 12.5 and illustrated in Fig. 12.3. Use the MIP branch-and-bound algorithm presented in Sec. 12.7 to solve this problem interactively. For each of the following constraints of pure BIP problems, use the constraint to fix as many variables as possible: (a) 20x1 – 7x2 + 5x3 ≤ 10 (b) 10x1 – 7x2 + 5x3 ≥ 10 (c) 10x1 – 7x2 + 5x3 ≤ –1 One of the constraints of a certain pure BIP problem is x1 + 3x2 + 2x3 + 4x4 ≤ 5. Identify all the minimal covers for this constraint, and then give the corresponding cutting planes. Consider the Job Shop Co. example introduced in Sec. 9.3. Table 9.25 shows its formulation as an assignment problem. Use global constraints to formulate a compact constraint programming model for this assignment problem.
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