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

Write a program to show twenty ellipses, Write a Program to Show Twenty Ell...

Write a Program to Show Twenty Ellipses 1. Write a program to show twenty ellipses which move away from the mouse pointer. Their initial locations should be random.

Create a clickable map - web operating system, You are required to develop ...

You are required to develop a content management system for the following scenario:   "A Travel Information (NTIK) system is to be designed to allow travellers to access to an elec

Matlab programming, I need help with some simple matlab statements

I need help with some simple matlab statements

Program for a single new-line character, The following function calls suppo...

The following function calls supposedly write a single new-line character, but some are incorrect. Identify which calls don't work and explain why.     printf("%c", '\n');

C programming assignments, I can attach or send the assignment instructions...

I can attach or send the assignment instructions, but they''re rather long. 90% of the code is already written and given to us. The assignment is primarily rewriting and rearrangin

What are program visible and invisible resisters, What are program visible ...

What are program visible and invisible resisters? A4) Program visible is those registers that can be programmed by the users, or which are customizable, whereas Program invisible

Produce a hierarchy chart-a structured flowchart, Produce a hierarchy chart...

Produce a hierarchy chart, a structured flowchart, and a Pascal program (with appropriate comments) to generate the Sales Commission Report shown below. The commission for each sal

Ws-addressing, WS-Addressing, WS-Reliable Texting and WS-Security WCF tools...

WS-Addressing, WS-Reliable Texting and WS-Security WCF tools many innovative Web solutions (WS) expectations such as WS-Addressing, WS-Reliable Texting and WS-Security. With the di

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

Special matrices, Special Matrices There are some "special" matrices o...

Special Matrices There are some "special" matrices out there which we may use on occasion. The square matrix is the first special matrix.  A square matrix is any matrix that s

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