We report on similarities between memcomputing with memristive networks and ant colony optimization. In particular, we show that one can design memristive networks to solve short-path optimization problems in a way similar to that done by ant-colony optimization algorithms. By employing appropriate memristive elements one can demonstrate an almost one-to-one correspondence between memcomputing and ant colony optimization approaches. However, the memristive network has the capability of finding the solution in one deterministic step, compared to the stochastic multi-step ant-colony optimization. This result is a first step in the direction of implementing in hardware, with nanoscale devices, this and possibly other swarm intelligence algorithms that are presently explored.