Mat 540 Week 9 Integer Programming

Explain how the applications of Integer programming differ from those of linear programming. Why is rounding-down an LP solution a suboptimal way to solve Integer programming problems Explain how the applications of Integer programming differ from those of linear programming. Integer programming generates integer solution values for model variables (Taylor III, 2011, p. 182). Linear programming consists of linear relationships that represent decisions with given objectives and constraints (Taylor III, 2011, p. 30). Linear programming models assume non-integers (not whole numbers) while integer programming models allow for integers that are rounded off (Taylor III, 2011, p. 182). Why is rounding-down an LP solution a suboptimal way to solve Integer programming problems Rounding-down an LP solution is a suboptimal way to solve Integer programming problems because erroneous results are caused (Taylor III, 2011, p. 187). It is better to determine a different integer solution to the problem. Explain the characteristics of integer programming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples. DISCUSSION 2 Explain the characteristics of integer programming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide