Question

whatistheinteriorpointpenaltyfunctionmethod?Whatistheexteriorpoint
penaltyfunctionmethod?

Answer 1

Ans:

Penalty function method:

Punishment work technique rough an obliged issue by an unconstrained issue organized to such an extent that minimization support's fulfillment of the requirements.

The general procedure is to add to the target work a term of limitations. there are two sorts of techniques:

1. interior penalty method
2.exterior penalty method

1. Interior penalty function method:

• inside punishment strategy begin at achievable yet problematic indicates and emphasize optimality as r->0
• Reverse punishment, = 1/g k()

with, s=1

minimize p (, r,s) = f() +r   + t   

2.Exterior penalty method:

• The two conditions are fulfilled by the accompanying recipes
• m.n p( x,r,s) =x^{2}-10x+ 5x(x-3)^{2}
• compares to f(x) + sr( g(x)^{2}
• The punishment work \phi = g k(\bar{x})^{2} this is known as likelihood punishment work
• s is set to + 1 since this is a punishment technique and the begin ing thought to be infeasible.
• on the off chance that r=1, the angmented target work decreases to
• m.n p( x,r,s) =x^{2}-10x+ (x-3)^{2}.