Читать книгу Multi-parametric Optimization and Control - Efstratios N. Pistikopoulos - Страница 52

Note that it is possible to add a scalar to the objective function of an LP problem without influencing the optimal solution. Similarly, it is possible to add an arbitrary scaling function to an mp‐LP problem without influencing the optimal solution.

Figure 2.1 The difference between the solution of an LP and an mp‐LP problem (black dot and line, respectively), where the mp‐LP problem is obtained by treating as a parameter. In (a), the solution is a single point in one of the vertices of the feasible space, while in (b) the solution is a function of the parameter .