Skip to main content

Duality in Linear Programming

Quantitative Methods: Duality in Linear Programming

Associated with every linear programming problem, there is another intimately related LPP, called the dual problem of the original LPP. The original LPP is called the Primal Problem. According to the duality theorem:
“For every maximization (or minimization) problem in linear programming, there is a unique similar problem of minimization (or maximization) involving the same data which describes the original problem.”

The rules for constructing the Dual from the Primal (or Primal from the Dual) are:
i) If the objective of one problem is to be maximized, the objective of the other is to be minimized.
ii) The maximization problem should have all ≤ constraints and the minimization problem has all ≥ constraints.
iii) All primal and dual variables must be non-negative (> 0).
iv) The element of the right hand side of the constraints in one problem are the respective coefficient of the objective functions in the other problem.
v) The matrix of constraints coefficients for one problem is the transpose of the matrix of constraint coefficients for the either problem.


List of Popular Posts

NU Degree Pass Course Subject & Subject Code List | B.A Pass Course

National University, Bangladesh Three Years Degree Pass Course Subject & Subject Code ListThree Years B.A Pass Course Effective from the Session: 2013–2014
Subject: Arabic

FIFA World Cup-2014

International Federation of Association Football (FIFA) Worl Cup-2014
FIFA:Fédération Internationale de Football Association"or "International Federation of Association Football

Dates: 12 June – 13 July 2014 (32 days)

Host Country: Brazil

Teams: 32 (from 5 confederations)

Venue(s): 12 (in 12 host cities)

Matches Played: 64

Quick navigation:At a glance : FIFA

Champions: Germany

Runners-up: Argentina

3rd Place: Netherlands

4th Place: Brazil

Quick navigation:ICC Cricket World Cup-2015
Goals Scored: 171 (2.67 per match)

Top Scorer(s): James Rodríguez [Colombia; 6 goals]

Best Player: Lionel Messi [Argentina]

Best Young Player: Paul Pogba [France]

Best Goalkeeper: Manuel Neuer [Germany]

Fair Play Award:

N.B: Please help us via comments, to update this page.

DU Master of Disaster Management (MDM) Admission

9th Batch Master of Disaster Management (MDM) Professional Degree Programme AdmissionApplications are invited from candidates in prescribed form for admission into two years Master of Disaster Management (MDM) Professional Degree Program for the session 2o17-2018

Quick navigation:BOU SSC Program Admission (Session: 2015-2016)

For details, please visit: