public void TestBudgetRelaxations(string filename, double stepsize)
        {
            var data        = Data.ReadXml(dataPath + filename, "120", "4");
            var formulation = ProblemFormulation.UD2NoOverbook;
            var newrooms    = CreateRoomsFixedSize(data, 25, 1);

            data.SetRoomList(newrooms);


            var model = new CCTModel(data, formulation, new CCTModel.MIPModelParameters()
            {
                UseRoomsAsTypes      = true,
                UseStageIandII       = false,
                TuneGurobi           = true,
                SaveBoundInformation = true,
            });

            model.RelaxModel();

            model.SetObjective(0, 1, 0);
            model.Optimize();
            var min = model.Objective; // Math.Floor(model.Objective*100)/100;

            Console.WriteLine($"Minimum budget for relaxed: {min}");
            model = new CCTModel(data, formulation, new CCTModel.MIPModelParameters()
            {
                UseRoomsAsTypes      = true,
                UseStageIandII       = false,
                TuneGurobi           = true,
                SaveBoundInformation = true,
            });

            //model.WriteModel(@"c:\temp\model.lp");
            var    bounds  = new List <Tuple <double, double, double, double> >();
            double prevobj = double.PositiveInfinity;
            int    lasts   = 5;

            for (double budget = min; budget < min * 2; budget += stepsize)
            {
                model.RelaxModel();
                Console.WriteLine($"Budget:{budget : 0.00} ");
                model.SetBudgetConstraint(budget);
                if (model.Optimize(300))
                {
                    bounds.Add(Tuple.Create(budget, model.Objective, formulation.MinimumWorkingDaysWeight * model.ObjMWD, formulation.CurriculumCompactnessWeight * model.ObjCC)); //Save each objective? MWD CC
                    if (prevobj - model.Objective < 1e-6)
                    {
                        lasts--;
                    }
                    if (lasts == 0)
                    {
                        break;
                    }
                    prevobj = model.Objective;
                }
            }
            Console.WriteLine("Budget;Obj;MWD;CC");
            Console.WriteLine(string.Join("\n", bounds.Select(b => $"{b.Item1 : #.###};{b.Item2: #.###};{b.Item3: #.###};{b.Item4: #.###}")));
        }