Is integer values a general property of Linear Programming problems? Explain why rounding or truncating non-integer values for the solutions is not an appropriate method for obtaining integer solutions.
1. IntegerProgramming Problem
Consider the following integer linear programming problem
x1,x2>=0 and integer
The solution to the Linear programming relaxation is: x1 = 5.714, x2= 2.571.
What is the Z value for the optimal solution under integer
You are trying to determine the best mix of bombers, fighters, and refueling aircraft in the next generation of the Air Force budget. You want to optimize effectiveness, subject to a variety of constraints, including cost. You plan to use linear programming, but know that you cannot have a portion of an aircraft. What do you do?
Explain the characteristics of integerprogramming problems.
Give specific instances in which you would use an integerprogramming model rather than an LP model. Provide real-world examples.
Explain how the applications of Integerprogramming differ from those of linear programming.
Why is "rounding-down" an LP solutio
Assistance with a sample integer linear programming problem.
Max Z = 3x1 + 2x2
Subject to: 3x1 + 5x2 <= 30
4x1 = 2x2 <= 28
x1 <= 8
x1, x2 >= 0 and integer
The solution to the linear programming relaxation is x1 = 5.714, x2 = 2.571.
What would be the optimal s
True or False
1. The 3 types of integerprogrammingmodels are total, 0 - 1, and mixed.
2. In a mixed integer model, all decision variables have integer solution values.
3. A rounded-down integer solution can result in a more than optimal solution to an integerprogramming problem.
4. If we are solving a 0-1 i
1) Consider the following all-integer linear program
Max 5X1 + 8X2
s.t. 6X1 + 5X2 <= 30
9X1 + 4X2 <= 36
1X1 + 2X2 <= 10
a) Find the optimal solution to the Relaxation LP.
b) Find the optimal solution to the All-inte