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

Program for implement xslt, The aim of this task is to gain experience in u...

The aim of this task is to gain experience in using the popular Web languages XSLT, XQuery, DTD, XML Schema and RDF. The Content: The University is organizing a stage show wh

Complex roots, We will be assuming here that our roots are of the form, in ...

We will be assuming here that our roots are of the form, in this case, r 1,2 = l + mi If we take the first root we'll find the following solution. x l + m i It i

Program for read minimum three command line arguments, 1. Write a program t...

1. Write a program that reads a minimum of three command line arguments and displays the program's results. a. Command Line arguments:  i. The first argument will be the program

C programming, Write an interactive C program which prompts the user with t...

Write an interactive C program which prompts the user with the following options on the opening menu: 1) Student information 2) Theory counselling batch-scheduling

Phonebook entry, The first task is to extend the  NeoPhoneBookEntry and  Ne...

The first task is to extend the  NeoPhoneBookEntry and  NeoPhoneBook classes to accommodate for  four additional contact  details:  Ringtone,  Vibration Pattern,  Led Pattern  and

Program to built book recommendation system, 1 Problem Description The...

1 Problem Description The task of the assignment is to build a book recommendation system for Auer Libraries. The system is to be implemented in Prolog and as the owners of t

How to write a kernel module, Overview You will write a loadable kernel...

Overview You will write a loadable kernel module. If you have an idea which you can convince me is a good idea that can not be done as a module, but only via direct modificatio

Extensive programming platform .net, Extensive programming platform .NET ...

Extensive programming platform .NET It is a new, simple, and comprehensive selection foundation. It is not a selection terminology, but it can handle several selection dialects.

.net class library, .NET class library .NET structure comes with just on...

.NET class library .NET structure comes with just one category selection. And that all developers need to learn!! Whether they create the value in C# or VB.NET or J#, it doesn't

Information system, analyse the information need in the different functiona...

analyse the information need in the different functional area in any organization

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