An algorithm with parameterized complexity of constructing the optimal schedule for the routing open shop problem with unit execution times

For the Routing Open Shop problem with unit execution times, the first algorithm with parameterized complexity is designed for constructing an optimal schedule. Its running time is bounded by a function $(Pol(|V|)+ f(m,g))\cdot|I|$, where $Pol(|V|)$ is a polynomial of the number of network nodes, $f(m,g)$ is a function of the number of machines and the number of job locations, and $|I|$ is the input length in its compact encoding.