Complementary slackness and duality, Programming Languages

Assignment Help:

Consider the following LP problem:

min x₁+3_x2+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

Assembly programme , write and compile a simple program in Assembly Languag...

write and compile a simple program in Assembly Language that compute and print student grades for a course.which you can open a file, read from it, and compute the results...using

Write a function to draw backbone of the protein, Write a function drawCA(a...

Write a function drawCA(aname, coords) that uses the plot3 command to draw the C α backbone of the protein. When calling this function, you should pass in the aname and coords var

Create xml documents to contain well-defined information, The objectives of...

The objectives of this assignment are to test your ability to create XML documents to contain well-defined information. This assignment will be used further in Assignment 2, so ple

Draw a use case diagram in uml for order book, SailDublin Ferry provides fe...

SailDublin Ferry provides ferries to mainland Britain, Europe and America. Having observed the success of Irish ferries and Stennaline online booking system; SailDublin ferry has d

Real distinct eigenvalues, Real Distinct Eigenvalues Under this case w...

Real Distinct Eigenvalues Under this case we'll have the real, distinct eigenvalues l 1 ≠l 2 ≠l 3 a and their related eigenvectors, ?h 1 , ?h 2 and ?h 3 are guarantee

Online Business Systems, Task .Task 1 Database design This task will allow...

Task .Task 1 Database design This task will allow you to demonstrate the following Learning Outcomes (LOs): LO 2. Justify the design and development of the application and critica

Lalr parser - xml table output, LALR Parser: Rule Table - Contains de...

LALR Parser: Rule Table - Contains definitions of production rules within the grammar. Attributes: Count - Number of production rules in the table Child items:

NETLOGO , THERE IS ANY1 COULD HELP ME WITH NETLOGO WORK

THERE IS ANY1 COULD HELP ME WITH NETLOGO WORK

Program which prints odd or even according to user input, Note: You should ...

Note: You should pay attention on following good practices: Appropriate code comments(If you make any assumptions clearly comment them in the code) Indentation

What do you meant by a function, (a) (i) What do you meant by a function? ...

(a) (i) What do you meant by a function? Are functions required when writing a C program? (ii) State one of the advantages to the use of functions. (iii) What do you meant by a

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages