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

C-program, about how to create the program in c

about how to create the program in c

Information hiding, Why is this correct/when is this the right ide

Why is this correct/when is this the right idea

Shell script for to change & display system prompt and path, Normal 0 ...

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

Write a program that should read input from a text file, A hardware store s...

A hardware store sells the following hardware tools: screwdriver, wrench, and tape measure. You are asked to calculate the profit for the store based on the number of tools sold an

Computer games development, Lazytown Constabulary are concerned that young ...

Lazytown Constabulary are concerned that young people in the town are unaware of the sorts of crime that they might encounter in their daily lives and are concerned that they may b

econometrics using r, EF308 Assignment 2 Due: 3pm, 26 April 2012 Introduct...

EF308 Assignment 2 Due: 3pm, 26 April 2012 Introduction This assignment is loosely based on Cheung et al. (2005) and Molodtsova and Papell (2009) and examines the out-of- sample pr

Matlab, i have a=[0 1 1 2 2 3 6 7 0 4 ] i want to delent elemet but keep it...

i have a=[0 1 1 2 2 3 6 7 0 4 ] i want to delent elemet but keep its position i.e a(4)=[] it gives me 0 1 1 2 3 6 7 0 4 but i need 0 1 1 [] 2 3 6 7 0 4

Java applet, Expertsmind brings you unique solution in java assignments ...

Expertsmind brings you unique solution in java assignments Applet In processing, and the apple company is any little application that works one specific process that works

Prims algorithm for minimum spanning tree, Implement the Prim's algorithm w...

Implement the Prim's algorithm with array data structure as described in slide 12 of the file 04mst.ppt. Your program should have a runtime complexity of O(n2) and should be as eff

Difference between MOV and MOVS, 2. TEST & AND TEST is like CMP, it is used...

2. TEST & AND TEST is like CMP, it is used for conditional statement, and doesn’t save the answer. AND is logical multiplication. 3. INS & IN IN is used for data transfer from I/O

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