René A. van Bevern, Artem V. Pyatkin, and Sergey V. Sevastyanov. An algorithm with parameterized complexity of constructing the optimal schedule for the routing open shop problem with unit execution times. Siberian Electronic Mathematical Reports, 16:42–84, 2019.

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))·|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.

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