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branch-and-bound

Branch and Bound algorithm implemented as project for optimization course (EA044).

Usage

You can either run octave main.m and enter the inputs asked, or run octave main.m < <file> where <file is the file containing the inputs in the specified format. You can also run in the gui interface of octave.
Exemple file archive:

  [-2; -1]    % coefficients of the function to be minimized
  [2 1; 1 1]  % matrix of coefficients of the LHS of the constraints
  [50; 25]    % RHS of the contraints, one per line

Dependencies

The only dependency is the package optim used for solving linear programming problems.

Example

octave main.m < tests/test2.m

Enter the coefficients of the function to minimize in the form of a column vector:
f =

  -8
  -5

Enter the coefficients of the left hand side of the constraints in the form of an array with one constraint per line:
A =

   1   1
   9   5

Enter the right hand side of the constraints in the form of a column vector:
B =

    6
   45

Variables values:
   5
   0
Iterations:  5
Value of the optimal solution: -40

graphical solution