xhunt3
Jul 9, 2014, 12:24 AM
Let Q = {x € R : Ax = b} and min cTx. Find all points satisfying in the First and Second Order
x£Q
Necessary Conditions.
Let f (x) = cTx. Show that if c ≠ 0, then we can not have an optimal solution lying in interior of Q,
where Q = {x : x € R, Ax = b, x ≥ 0}.
(Steiners problem) In the plane of a given triangle, find a point such that the sum of its distances
from the vertices of the triangle is minimal.
Give an illustrative example for each of the following problems that formulated by a nonlinear
program: Discrete optimal control, Water resources management, Stochastic resource allocation,
Location of facilities, Portfolio optimization and Selection problem.
x£Q
Necessary Conditions.
Let f (x) = cTx. Show that if c ≠ 0, then we can not have an optimal solution lying in interior of Q,
where Q = {x : x € R, Ax = b, x ≥ 0}.
(Steiners problem) In the plane of a given triangle, find a point such that the sum of its distances
from the vertices of the triangle is minimal.
Give an illustrative example for each of the following problems that formulated by a nonlinear
program: Discrete optimal control, Water resources management, Stochastic resource allocation,
Location of facilities, Portfolio optimization and Selection problem.