The location of the solution of the dual problem which can be found through the application of the method DualSolve. The solution of the dual problem should be provided in the following form: the k-th term of the array should refer to the coordinate value (in the dual coordinates) of the k-th coordinate.
boundaryShifts
An array where the i-th term corresponds the absolute shift of the constant term of the k-th constraint where the constraints are listed with the inequality constraints first followed by the equality constraints.
Remarks
This procedure
offers a very efficient means by which to analyze the sensitivity of the extremum of the object
function to shifts in the boundaries. In particular, for (small) parallel shifts of the linear
boundaries we evaluate the absolute change in the value of the extremum (i.e. maximum or minimum)
of the primal problems object function.
Interpretation in term of the Factory Problem Example
Within our factory example the object function represents the profit and the (inequality and
equality) constraints which represent the limitations on the means of production such as man hours,
raw materials and so on. The sensitivity analysis performed here considers the effect on the maximum
profit of the factory when the amount of the means of product represent by the constraints is varied.
That is, the constant terms of the inequalities and equality constraints is varied. In the notation
given below this corresponds the shifts on the vector b, containing the constraints
constants terms.