%0 Journal Article
%T Optimal partition invariancy in multi-parametric linear optimization
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Mehanfar, Nayyer
%A Ghaffari Hadigheh, Alireza
%D 2022
%\ 09/01/2022
%V 10
%N 3
%P 433-448
%! Optimal partition invariancy in multi-parametric linear optimization
%K Optimal partition
%K multi-parametric linear optimization
%K invariancy analysis
%R 10.22124/jmm.2022.20758.1809
%X In a linear optimization problem, objective function, coefficients matrix, and the right-hand side might be perturbed with distinct parameters independently. For such a problem, we are interested in finding the region that contains the origin, and the optimal partition remains invariant. A computational methodology is presented here for detecting the boundary of this region. The cases where perturbation occurs only in the coefficients matrix and right-hand side vector or the objective function are specified as special cases. The findings are illustrated with some simple examples.
%U https://jmm.guilan.ac.ir/article_5418_bb51197ad0968e3d712d61a874db0ffb.pdf