Proof of bounded polyhedron = convex hull of extreme point(PhD)
Show that a non-empty bounded polyhedron is the convex hull of its extreme points. Hint: use Farkas Lemma
Proof in Linear Programming - extreme point
Can anyone help me to prove this? (Geometry in linear programming) (See attached file for full problem description with equations) --- (a) Let be a convex set. Prove that if is a vertex of S, then is an extreme point of S. (b) Give an example of a closed convex set and a point such that is an extreme point ...continues
Proof in Linear Programming - Extreme Point
Can anyone help me to prove this? I'm really stuck with geometry in Linear Programming... (See attached file for full problem description and equations) --- Assume P is a polyhedron and H is a supporting hyperplane to P. Prove that is an extreme point of if and only if is an extreme point of P.
seeking help for mathematical proof in LP: proof some def of Polyhedron
(See attached file for full problem description and equations) --- Assume P, Q are non-empty polyhedra. Let P + Q := {x + y: Prove that P + Q is a polyhedron. Prove that every extreme point of P + Q is the sum of an extreme point of P and an extreme point of Q. ---
solving transpotation problems
Find the optima solution for the following problem: TO FROM Chicago Atlanta supply St louis 40 63 250 Richmond 70 30 400 demand 300 350 650
I am submitting a couple of queuing theory problems that I was trying to solve for practice and study. I'm having trouble getting them formulated. --- Queuing Theory Question 1 An average of 10 people per hour arrive (inter-arrival times are exponential) intending to swim laps at the local YMCA. Each intends to swim a ...continues
Linear Problems using excel or lindo
I need assistance in developing the restraint equations for the attached problem. I have tried developing them and creating the linear equations to input into Lindo and am continuously getting error messages and I am not sure what it is I am doing wrong. Thank you. (See attached file for full problem description) --- Su ...continues
Dantzig-Wolfe / Bender decomposition in LP
This is PhD level LP question. Of course it does not mean that only PhD people can solve it. What I'd like to ask is please give me a guide how to solve this problem by using Dantzig-wolfe and Bender decomposition. It won't be hard, but I'd like to check if I'm on a right track. (See attached file for full problem description ...continues
Prove this by using duality, Farkas lemma
this question is from linear programming. I want to use duality (it's so obvious), farkas lemma (alternative solution) and all. (See attached file for full problem description with equations) --- (a) Let . Prove that one of the following systems has a solution but not both: (b) Prove or disprove the following cla ...continues
Exam Review for Stochastic Processes part 5
(See attached file for full problem description) --- Consider the M/M/s queue, with arrival rate... ---
