运筹优化|gurobi的Restricted license

背景

一般来说，通过pip install gurobipy安装的免费gurobi限制了1000个变量，要突破1000个变量限制需要或者证书，下面代码可以测试你是不是获取了证书。你可以修改下面代码的num_vars，将其设为3000试试。

完整代码

""" 3000约束量的规划求解，以验证证书是否为免费限制证书 免费限制证书: 约束量<=1000 """importgurobipyasgpfromgurobipyimportGRB# 创建模型model=gp.Model("3000_constraints")# 添加变量num_vars=1000# 约束量vars=model.addVars(num_vars,vtype=GRB.CONTINUOUS,name="x")# 添加约束（约束量3000）foriinrange(num_vars):# 示例：每个约束为x_i <= 1model.addConstr(vars[i]<=1,name=f"constraint_{i}")# 添加目标函数（最大化总和）model.setObjective(sum(vars),GRB.MAXIMIZE)# 求解model.optimize()# 输出结果ifmodel.status==GRB.OPTIMAL:print("最优解：",model.objVal)

输出

Restricted license-fornon-production use only-expires2027-11-29Gurobi Optimizer version13.0.1build v13.0.1rc0(win64-Windows11.0(22631.2))CPU model:11th Gen Intel(R)Core(TM)i5-1135G7 @2.40GHz,instructionset[SSE2|AVX|AVX2|AVX512]Thread count:4physical cores,8logical processors,using up to8threads Optimize a modelwith1000rows,1000columnsand1000nonzeros(Max)Model fingerprint:0x837464c6Model has0linear objective coefficientsandan objective constant of-499500Coefficient statistics:Matrixrange[1e+00,1e+00]Objectiverange[0e+00,0e+00]Boundsrange[0e+00,0e+00]RHSrange[1e+00,1e+00]Presolve removed1000rowsand1000columns Presolve time:0.01s Presolve:All rowsandcolumns removed Iteration Objective Primal Inf.Dual Inf.Time04.9950000e+050.000000e+000.000000e+000s Solvedin0iterationsand0.01seconds(0.00work units)Optimal objective4.995000000e+05最优解：499500.0