# LinProg(f, AInEq, bInEq, AEq, bEq, debug)

Version 2.5.0.0 (3.12 KB) by
Solves Linear Programming poblem
Updated 23 Jun 2024

% x = LinProg(f, AInEq, bInEq)
% x = LinProg(f, AInEq, bInEq,AEq, bEq)
% x = LinProg(f, AInEq, bInEq,AEq, bEq,debug)
% [x,fval] = LinProg(___)
% [x,fval,exitflag] = LinProg(___)
%This function implments the simplex matrix algorithm.
%It accepts row vector f defining the objective function as f*x
%It can accept only inequality constraints(as in x = LinProg(f, AInEq, bInEq)) ,
% or only equality constraints (as in x = LinProg(f, [], [], AEq, bEq).
% The debug defaults false if the use did not specify to see the stages
% during the solution process
%
%It runs both phase one and phase two automatically.
%
%The input is
%
%AInEq and bInEq: defined the inequality constrain AInEq*x <= bInEq
%
%AEq and bEq: defined the equality constrain AEq*x = bEq
%
%f: Vector. This is from minimize F(x) = fx. As defined in
% standard Matlab documentations.
%
%debug: flag. Set to true to see lots of internal steps.
%
% Version 7/16/2017( modification of original version by Nasser M. Abbasi)
% by Lateef A. Kareem
% Free for use.

### Cite As

Lateef Adewale Kareem (2024). LinProg(f, AInEq, bInEq, AEq, bEq, debug) (https://www.mathworks.com/matlabcentral/fileexchange/63762-linprog-f-aineq-bineq-aeq-beq-debug), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2024a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux
##### Categories
Find more on Optimization Toolbox in Help Center and MATLAB Answers
##### Acknowledgements

Inspired: Linear Programming Simplex Algorithm

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Version Published Release Notes
2.5.0.0

added lower and upper bound of the decision variables.

2.0.0.0

problem of concatenation equality and inequality has been corrected.

Validation now ensures that b returns a column vector.

1.0.0.0