Question

Electrical Engineering Assignment Topic: Optimization Techniques 5.(a). What are the characteristics of queuing models? Explain. (2pts) (b). Discuss in brief about quadratic programming. (2pts) (c). Minimum f = x + 2x +4xį subjected to the constraints. 9. = xy - x2 - 2x3s 15 92 = X1 + 2x2 – 3x3s 10 using Kuhn-Tuker conditions. (5pts) 6.(a). State the Kuhn-tucker conditions. (2pts) (b). Explain the penalty function algorithm. (2pts) (c). Solve the following problem by using the interior penalty function approach. Min f(x,x) = 6 x1 +4X1X2 + 3 x3 Subject to x1 + x2 - 5 = 0(5pts)

Answer 1

5. (a) The characteristics are:
1. The arrival pattern.
2. The service mechanism.
3. The queue discipline.
4. The number of customers allowed in the system.
5. The number of service channels.

5. (b) Quadratic programming maximizes (or minimizes) a quadratic objective function subject to one or more constraints. The technique finds broad use in operations research and is occasionally of use in statistical work.