Complementary slackness and duality, Programming Languages

Assignment Help:

Consider the following LP problem:

min x1 +3x2 +x3 -x4

s.t. x1 +x2 +x3 +x4 ≥ 0

x1 +x2 -x3 -x4 ≥ 1

x2, x3 ≥ 0 x1, x4 ≤ 0.

1. Unique primal-dual solutions.

  • Find a feasible solution (by trying a few guesses) and compute its associated value of the objective function, zprimal.
  • Write the dual.
  • Find a feasible solution to the dual (just pick one) and compute its associated value of the objective function, zdual, and check, according to weak duality, that it is not less than zprimal.
  • Solve the dual through the graphical method.
  • After finding the optimal value of the dual variables, use complementary slackness to find the optimal value of the primal variables.
  • Solve both primal and dual problems in AMPL. Print out the solutions.

Related Discussions:- Complementary slackness and duality

Pascal program, Pascal program: Exactly what you need to do to generat...

Pascal program: Exactly what you need to do to generate your empirical data is specific to your individual assignment. However, some rules apply to all of you: 1. The gener

Windows communication foundation, Windows Communication Foundation The Micr...

Windows Communication Foundation The Microsoft windows Interaction or communication foundation (or WCF), formerly known as "Indigo", is an application selection program (API) in th

Corba multiple clients, I have an assignment that requires from me to run ...

I have an assignment that requires from me to run multiple clients and one server ( Corba)

I need engineer with good knowledge of assembly x86 language, I need an eff...

I need an efficient and fast reverse engineer with good knowledge of assembly x86 language, strong reverse engineering skills, IDA Pro (Hex-Rays) to Linux game routine, C, C++ prog

Unix help, need a command to : Display user id, first and last names of all...

need a command to : Display user id, first and last names of all the students the class specified by the prefix in alphabetical order by last name from /etc/passwd

Learning when and how to use a while loop, 1.  A function that produces the...

1.  A function that produces the Collatz sequence and counts the number of terms. 2.  A main function that calculates interesting values about the Collatz sequence. 1.The Col

Sytem call, use of exec and nice system call

use of exec and nice system call

Perform dbscan clustering and k means, Perform Dbscan Clustering and K mean...

Perform Dbscan Clustering and K means I have a simple array of data. I need to perform dbscan clustering and k means based on the values in the array.detailed description  bel

Dot net technology, write a procedure to add toolbar in VB application addi...

write a procedure to add toolbar in VB application adding icons to toolbar buttons & with the approprite example display the use of each button

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd