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

Shell script to check whether user has logged in or not, Normal 0 ...

Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Just in time compiler, Expertsmind brings you  unique  solution in java as...

Expertsmind brings you  unique  solution in java assignments Just in Time Compiler In processing, just-in-time system (JIT), also known as energetic interpretation, is a m

Shell script delete all lines from file contains word mca, Normal 0 ...

Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Looping, You are required to develop a program that calculates the charges ...

You are required to develop a program that calculates the charges for DVD rentals, where current release cost RM3.50 and all others cost RM2.50. If a customer rents several DVDs, e

Explain the continue statement - computer programming, Explain the Continue...

Explain the Continue statement - Computer Programming? This is alike to break but is encountered less frequently. It merely works within loops where its effect is to force an imm

Write a program to draw the fish, Write a program to draw the figure shown ...

Write a program to draw the figure shown below. the program must provide: a. Close the fish's mouth slowly (at least 5 moves from the original position to close the mouth) b.

Python 2.7.3, I have assignment about python language . Could you helpe me ...

I have assignment about python language . Could you helpe me to built it

Design and implement schemasusing xml schema, You are to build a Schema in ...

You are to build a Schema in XML Schema Language that will be used to support the development of the new central course information management system and other supporting applicati

Visual basic 2010, I have to create a calorie counter and I am totally lost...

I have to create a calorie counter and I am totally lost

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.

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