In the absence of cycling, the simplex method ends up after a finite number of iterations. As a result of its work, one of 3 outcomes may result:
1) The problem has no feasible solution - this means that the constraints of the original problem are inconsistent, indicating error(s) in the model formulation.
2) The problem is unbounded - which means that the objective function reaches its optimum at infinity. This also indicates error(s) in the problem formulation.
3) The problem has an optimal solution.
In the last case, LiPS outputs the results table of the form:
The result table consists of two parts:
I) The first part corresponds to the variables and consists of four columns:
1) "Variable" - contains the names of the structural variables;
2) "Value" - contains the values of structural variables;
3) "Obj. Cost" - contains the values of the objective function coefficients;
4) "Reduced Cost" - contains the values of the reduced costs.
II) The second part of the table corresponds to the model constraints:
1) "Constraint" - the name of constraint;
2) "RHS" - contains the value of a column of free terms (right-hand sides of constraints);
3) "Slack" - contains the values of logical variables;
4) "Dual Price" - contains the values of the dual variables.
Note: The LiPS provides the option to export solutions to Excel. To do this, use the menu: Solution >> Export>> Excel.