To use the barrier algorithm without crossover with cplex 20.1, you can use the following options: - set lpmethod 4 (this selects the barrier algorithm): [![enter image description here][1]][1] - set solutiontype 2 (this deactivates crossover): [![enter image description here][2]][2] [1]: https://i.sstatic.net/vs6tn.png [2]: https://i.sstatic.net/pi3Pq.png