function varargout = solvemp(P,x,y,options) %SOLVEMP Computes solution to multi-parametric optimization problem % % min_z(x) h(x,z) % subject to % F(x,z) > 0 % % % [SOL, DIAGNOSTIC,Z,HPWF,ZPWF] = SOLVEMP(P,options,x,y) % % SOL : Multi-parametric solution (see MPT toolbox) % % DIAGNOSTIC : struct with diagnostic information % % Z : SDPVAR object with the detected decision variable z % % HPWF : The value function as a pwf function % % ZPWF : The optimal decision variable as a pfw function % % Input % P : Optimization model % options : solver options. See SDPSETTINGS. Can be []. % x : Parametric variables % y : Requested decision variables (subset of z) % % NOTE : If you are solving a problem leading to an mpMILP, the % output SOL will be a set-valued map. To obtain the minimal % solution (without so called overlaps), run removeOverlaps(SOL). If you % have requested the 5th output ZPWF, overlaps are automatically removed. % If your problem leads to an mpMIQP, the output SOL will also be a % set-valued map, but there is currently no way in MPT to obtain a % non-overlapping solution. To use the solution in MPT, the command % mpt_mergeCS(SOL) can be useful. Notice that the fifth output argument % not will be available for mpMIQP problems. % % See also PARAMETRIC, SDPSETTINGS, YALMIPERROR if nargin < 4 options = sdpsettings; else options = P.Options; end [sol,info] = solvemp(P.Constraints,P.Objective,options,x,y)