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

Algorithm to enumerate a fingerprint, Let S =  {s 1 , s 2 , .... , s k } de...

Let S =  {s 1 , s 2 , .... , s k } denote a set of k genomes. The problem of fingerprinting is the task of identifying a shortest possible substring α i from each string si such t

Created xml document using the css stylesheet, After studying the concept, ...

After studying the concept, terminology, and implementation of CSS stylesheets, create a stylesheet to accompany your solutions to Question 1. A rich collection of styles should be

Need help for crowdsporting website development, CrowdSporting Website Deve...

CrowdSporting Website Development I want an advanced web developer to spend 1-2 days coding our newly designed website. It will be a single page scrolling site, fully designed a

Write a program to read a text file and create a dictionary, Write a progra...

Write a program to read a text file and create a dictionary. The keys for the dictionary should be all 26 letters of the alphabet and the values of the dictionary should be the lis

Help pagination of oracle reports when printed from browser, Oracle 11G Rep...

Oracle 11G Reports We are troubleshooting the pagination of Oracle reports when printed from a browser. We need help determining the issue and correcting within the report ou

Exploding land mines cause damage to military vehicles, In combat simulatio...

In combat simulation software, exploding land mines cause damage to military vehicles. In addition to the damage done to the vehicles themselves, we are interested in the number of

Write a shell script to find the factorial of a given number, W.A.S.S to fi...

W.A.S.S to find the factorial of a given number. Program # W.A.S.S to find the factorial of a given number.    echo -e "enter number:\c"            #  \c Suppress trailing n

Assembly TASM or MASM, I need help with making a assembly program that uses...

I need help with making a assembly program that uses Hoffman''s coding scheme to compress a text file.

Algorithm and data structure, Man, i''m having quite a problem with this ex...

Man, i''m having quite a problem with this exercise. Even googled for Roman multiply table concept. I just don''t get it. Multiply two numbers given in Roman figures. For instan

Create proptotype of student management system, XYZ International is a larg...

XYZ International is a large Institute; Management in this institute wants to create Proper Student management System. There for they contact you and asked you to create Propto typ

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